% % by Matthias Heinkenschloss % % LAST MODIFICATION: April 25, 2024 % % The format of the of the Bibtex entry label: % % % % For example, the key from the book by Dennis and Schnabel is % % JEDennis_RBSchnabel_1983 % % The key for a book by Hackbusch from 1985 is % % WHackbusch_1985a % @MISC{AD, TITLE = {Community Portal for Automatic Differentiation}, note = {http://www.autodiff.org}, url = {http://www.autodiff.org} } @Misc{AHMED, author = {M. Bebendorf}, title = {{A$\mathcal{H}$MED} -- Another software library on hierarchical matrices for elliptic differential equations}, howpublished = {Available online {\tt http://bebendorf.ins.uni-bonn.de/AHMED.html}} } @PROCEEDINGS{AIAA_MDO_1994, organization = {American Institute of Aeronautics and Astronautics}, title = {{AIAA/NASA/USAF/ISSMO} {S}ymposium on Multidisciplinary Analysis and Optimization, {P}anama {C}ity, {FL}, {S}eptember 7-9, 1994}, publisher = {AIAA}, address = {Reston, VA}, year = 1994 } @PROCEEDINGS{AIAA_MDO_1996, organization = {American Institute of Aeronautics and Astronautics}, title = {6th {AIAA/NASA/ISSMO} {S}ymposium on Multidisciplinary Analysis and Optimization, {B}ellevue, {WA}, {S}eptember 4-6, 1996}, publisher = {AIAA}, address = {Reston, VA}, year = 1996 } @techreport{AztecOOUserGuide, title = {{AztecOO User Guide}}, author = {M. Heroux}, institution = {Sandia National Laboratories}, number = {SAND2004-3796}, year = 2006, note = {{\small http://software.sandia.gov/trilinos/packages/aztecoo}} } @MANUAL{DealII, title = {{\tt deal.{I}{I}} Differential Equations Analysis Library, Technical Reference}, author = {Wolfgang Bangerth and Ralf Hartmann and Guido Kanschat}, organization = {Interdisziplin{\"a}res Zentrum f{\"u}r Wissenschaftliches Rechnen (IWR)}, note = {\texttt{http://www.dealii.org}}, url = {http://www.dealii.org} } @MISC{DDM, TITLE = {Domain Decomposition Methods}, note = {http://www.ddm.org}, url = {http://www.ddm.org} } @Misc{EIGTOOL, author = {T. G. Wright}, title = {{E}ig{T}ool}, howpublished = {Available at {\tt https://github.com/eigtool/eigtool} (accessed July 21, 2015)} } @MISC{HSL, TITLE = {{HSL}. {A} collection of {F}ortran codes for large scale scientific computation}, note = {\url{http://www.hsl.rl.ac.uk/catalogue} (accessed Jan 31, 2019)} } @BOOK{LAPACK, author = {E. Anderson and Z. 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Karypis}, title = {{METIS} }, note = {http://www-users.cs.umn.edu/$\sim$karypis/metis}, url = {http://www-users.cs.umn.edu/~karypis/metis} } @BOOK{National_Research_Council_1996a, author = {National Research Council}, title = {Mathematics and Physics of Emerging Biomedical Imaging}, doi = {10.17226/5066}, url = {https://doi.org/10.17226/5066}, year = {1996}, publisher = {The National Academies Press}, address = {Washington, DC} } @MISC{PETSc, author = {S. Balay and K. Buschelman and W. D. Gropp and D. Kaushik and L. {Curfman McInnes} and B. F. Smith}, title = {{PETSc} home page}, note = {http://www-fp.mcs.anl.gov/petsc}, year = 2001, url = {http://www-fp.mcs.anl.gov/petsc} } @book {QUADPACK, AUTHOR = {R. Piessens and E. de Doncker--Kapenga and C. W. \"Uberhuber and D. K. Kahaner}, FAUTHOR = {Piessens, Robert and de Doncker-Kapenga, Elise and \"{U}berhuber, Christoph W. and Kahaner, David K.}, TITLE = {{QUADPACK} {A} Subroutine Package for Automatic Integration}, SERIES = {Springer Series in Computational Mathematics}, VOLUME = {1}, PUBLISHER = {Springer-Verlag, Berlin}, YEAR = {1983}, DOI = {10.1007/978-3-642-61786-7}, URL = {https://doi.org/10.1007/978-3-642-61786-7}, } @BOOK{TEMPLATES, author = {R. Barrett and M. Berry and T. F. Chan and J. Demmel J. Donato and J. Dongarra and V. Eijkhout and R. Pozo and C. Romine and H. van der Vorst}, title = {Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods}, publisher = {SIAM}, address = {Philadelphia}, year = 1993 } @techreport{Trilinos-Overview, title = {{An Overview of Trilinos}}, author = {M. Heroux and R. Bartlett and V. Howle R. Hoekstra and J. Hu and T. Kolda and R. Lehoucq and K. Long and R. Pawlowski and E. Phipps and A. Salinger and H. Thornquist and R. Tuminaro and J. Willenbring and A. Williams }, institution = {Sandia National Laboratories}, number = {SAND2003-2927}, year = 2003, note = {{\small http://software.sandia.gov/trilinos}} } @article{Trilinos-Overview_2005, author = {M. A. Heroux and R. A. Bartlett and V. E. Howle and R. J. Hoekstra and J. J. Hu and T. G. Kolda and R. B. Lehoucq and K. R. Long and R. P. Pawlowski and E. T. Phipps and A. G. Salinger and H. K. Thornquist and R. S. Tuminaro and J. M. Willenbring and A. Williams and K. S. Stanley}, fauthor = {Michael A. Heroux and Roscoe A. Bartlett and Vicki E. Howle and Robert J. Hoekstra and Jonathan J. Hu and Tamara G. Kolda and Richard B. Lehoucq and Kevin R. Long and Roger P. Pawlowski and Eric T. Phipps and Andrew G. Salinger and Heidi K. Thornquist and Ray S. Tuminaro and James M. Willenbring and Alan Williams and Kendall S. Stanley}, title = {An overview of the Trilinos project}, journal = {ACM Trans. Math. Softw.}, volume = {31}, number = {3}, year = {2005}, pages = {397--423}, url ={http://trilinos.sandia.gov/} } @techreport{Trilinos-Dev-Guide, title = {{Trilinos Developers Guide}}, author = {M. A. Heroux and J. M. Willenbring and R. Heaphy}, institution = {Sandia National Laboratories}, number = {SAND2003-1898}, year = 2003, note = {{\small http://software.sandia.gov/trilinos}} } @techreport{Trilinos-Dev-Guide-II, title = {{Trilinos Developers Guide Part II: ASCI Software Quality Engineering Practices Version 1.0}}, author = {M. A. Heroux and J. M. Willenbring and R. Heaphy}, institution = {Sandia National Laboratories}, number = {SAND2003-1899}, year = 2003, note = {{\small http://software.sandia.gov/trilinos}} } @techreport{Trilinos-Users-Guide, title = {{Trilinos Users Guide}}, author = {Michael A. Heroux and James M. Willenbring}, institution = {Sandia National Laboratories}, number = {SAND2003-2952}, year = 2003, note = {{\small http://software.sandia.gov/trilinos}} } @article{AATrindade_SUryasev_AShapiro_GZrzhevsky_2007a, fauthor={Trindade, A Alexandre and Uryasev, Stan and Shapiro, Alexander and Zrazhevsky, Grigory}, author={A. A. Trindade and S. Uryasev and A. Shapiro and G. Zrazhevsky}, title={Financial prediction with constrained tail risk}, journal={Journal of Banking \& Finance}, volume={31}, number={11}, pages={3524--3538}, year={2007} } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @article {SAanonsen_DEydinov_2006a, author = {S. Aanonsen and D. Eydinov}, title = "A multiscale method for distributed parameter estimation with application to reservoir history matching", journal = "Computational Geosciences", volume = "10", year = "2006", pages = "97--117" } @article{SIAanonsen_GNaevdal_DSOliver_ACReynolds_BValles_2009a, author={S. I. Aanonsen and G. Naevdal and D. S. Oliver and A. C. Reynolds and B. Vall\`es}, year={2009}, title={The ensemble {K}alman filter in reservoir engineering-{A} Review}, journal={SPE Journal}, volume={14}, number={3}, pages={393-412}, url={http://dx.doi.org/10.2118/117274-PA}, doi = {10.2118/117274-PA} } @article {JEAarnes_2005a, AUTHOR = {J. E. Aarnes}, FAUTHOR = {Aarnes, J{\o}rg Espen}, TITLE = {Efficient domain decomposition methods for elliptic problems arising from flows in heterogeneous porous media}, JOURNAL = {Comput. Vis. 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I. and Shirman, Sasha and Breen, Daniel and Kadakia, Nirag and Rey, Daniel and Armstrong, Eve and Margoliash, Daniel}, TITLE = {A unifying view of synchronization for data assimilation in complex nonlinear networks}, JOURNAL = {Chaos}, FJOURNAL = {Chaos. An Interdisciplinary Journal of Nonlinear Science}, VOLUME = {27}, YEAR = {2017}, NUMBER = {12}, PAGES = {126802, 10}, DOI = {10.1063/1.5001816}, URL = {https://doi.org/10.1063/1.5001816}, } @article {HDIAbarbanel_SShirman_DBreen_NKadakia_DRey_EArmstrong_DMargoliash_2018a, AUTHOR = {H. D. I. Abarbanel and S. Shirman and D. Breen and N. Kadakia and D. Rey and E. Armstrong and D. Margoliash}, FAUTHOR = {Abarbanel, Henry D. I. and Shirman, Sasha and Breen, Daniel and Kadakia, Nirag and Rey, Daniel and Armstrong, Eve and Margoliash, Daniel}, TITLE = {Response to ``{C}omment on `{A} unifying view of synchronization for data assimilation in complex nonlinear networks''' [{C}haos 28, 028101 (2018)]}, JOURNAL = {Chaos}, FJOURNAL = {Chaos. 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Behr and M. Heinkenschloss}, title = {Shape Optimization in Stationary Blood Flow: A Numerical Study of Non-{N}ewtonian Effects}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University, Houston, TX 77005--1892}, year = {2004}, number = {TR04--04}, note = {appeared as \cite{FAbraham_MBehr_MHeinkenschloss_2005a}} } @techreport{FAbraham_MBehr_MHeinkenschloss_2004c, author = {F. Abraham and M. Behr and M. Heinkenschloss}, title = {Shape Optimization in Unsteady Blood Flow: A Numerical Study of Non-{N}ewtonian Effects}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University, Houston, TX 77005--1892}, year = {2004}, number = {TR04--14}, note = {appeared as \cite{FAbraham_MBehr_MHeinkenschloss_2005b}} } @article{FAbraham_MBehr_MHeinkenschloss_2005a, author = {F. Abraham and M. Behr and M. 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Reyes-Ortiz}, fauthor = {Anguita, Davide and Ghio, Alessandro and Oneto, Luca and Parra, Xavier and Reyes-Ortiz, Jorge Luis}, title = {A public domain dataset for human activity recognition using smartphones}, booktitle = {Proceedings of the 21th International European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning}, pages = {437--442}, year = {2013} } @article {SAnicic_HLeDret_ARaoult_2003a, AUTHOR = {S. Anicic and H. {Le Dret} and A. Raoult}, FAUTHOR = {Anicic, Sylvia and Le Dret, Herv{\'e} and Raoult, Annie}, TITLE = {Lemme du mouvement rigide infinit\'esimal en coordonn\'ees lipschitziennes et application aux coques de r\'egularit\'e minimale}, JOURNAL = {C. R. Math. Acad. Sci. Paris}, FJOURNAL = {Comptes Rendus Math\'ematique. Acad\'emie des Sciences. Paris}, VOLUME = {336}, YEAR = {2003}, NUMBER = {4}, PAGES = {365--370}, DOI = {10.1016/S1631-073X(03)00058-X}, URL = {http://dx.doi.org/10.1016/S1631-073X(03)00058-X}, } @article {SAnicic_HLeDret_ARaoult_2004a, AUTHOR = {S. Anicic and H. {Le Dret} and A. Raoult}, FAUTHOR = {Anicic, Sylvia and Le Dret, Herv{\'e} and Raoult, Annie}, TITLE = {The infinitesimal rigid displacement lemma in {L}ipschitz co-ordinates and application to shells with minimal regularity}, JOURNAL = {Math. Methods Appl. Sci.}, FJOURNAL = {Mathematical Methods in the Applied Sciences}, VOLUME = {27}, YEAR = {2004}, NUMBER = {11}, PAGES = {1283--1299} } @PROCEEDINGS{AMAnile_WAllegretto_CRinghofer_2003, editor = {A. M. Anile and W. Allegretto and C. Ringhofer }, title = {Mathematical Problems in Semiconductor Physics}, note = {Lecture Notes in Mathematics, Vol.~1823}, publisher = {Springer Verlag}, address = {Berlin, Heidelberg, New-York}, year = 2003 } @article {MAnitescu_2005a, AUTHOR = {M. Anitescu}, TITLE = {On Using the Elastic Mode in Nonlinear Programming Approaches to Mathematical Programs with Complementarity Constraints}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {15}, YEAR = {2005}, NUMBER = {4}, PAGES = {1203--1236 (electronic)} } @article {MAnitescu_2009a, AUTHOR = {M. Anitescu}, FAUTHOR = {Anitescu, Mihai}, TITLE = {Spectral finite-element methods for parametric constrained optimization problems}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {47}, YEAR = {2009}, NUMBER = {3}, PAGES = {1739--1759} } @article {MAnitescu_JChen_LWang_2012a, AUTHOR = {M. Anitescu and J. Chen and L. Wang}, FAUTHOR = {Anitescu, Mihai and Chen, Jie and Wang, Lei}, TITLE = {A matrix-free approach for solving the parametric {G}aussian process maximum likelihood problem}, JOURNAL = {SIAM J. Sci. Comput.}, FJOURNAL = {SIAM Journal on Scientific Computing}, VOLUME = {34}, YEAR = {2012}, NUMBER = {1}, PAGES = {A240--A262}, DOI = {10.1137/110831143}, URL = {http://dx.doi.org/10.1137/110831143}, } @article {MAnitescu_XZeng_EMConstantinescu_2014a, AUTHOR = {M. Anitescu and X. Zeng and E. M. Constantinescu}, FAUTHOR = {Anitescu, Mihai and Zeng, Xiaoyan and Constantinescu, Emil M.}, TITLE = {A low-memory approach for best-state estimation of hidden {M}arkov models with model error}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {52}, YEAR = {2014}, NUMBER = {1}, PAGES = {468--495}, DOI = {10.1137/120870451}, URL = {http://dx.doi.org/10.1137/120870451}, } @article {KAnjyo_JPLewis_2011a, AUTHOR = {K. Anjyo and J. P. Lewis}, FAUTHOR = {Anjyo, Ken and Lewis, J. P.}, TITLE = {R{BF} interpolation and {G}aussian process regression through an {RKHS} formulation}, JOURNAL = {J. Math-for-Ind.}, FJOURNAL = {Journal of Math-for-Industry (JMI)}, VOLUME = {3A}, YEAR = {2011}, PAGES = {63--71}, URL = {http://j-mi.org/articles/view/199} } @article{WAnnicchiarico_MCerrolaza_2004a, author = "W. Annicchiarico and M. Cerrolaza", title = "A 3D boundary element optimization approach based on genetic algorithms and surface modeling", journal = "Engineering Analysis with Boundary Elements", volume = "28", number = "11", pages = "1351 - 1361", year = "2004", doi = "10.1016/j.enganabound.2004.05.004", url = "http://dx.doi.org/10.1016/j.enganabound.2004.05.004" } @article {MAnnunziato_ABorzi_2013a, AUTHOR = {M. Annunziato and A. Borz\`\i}, TITLE = {A {F}okker-{P}lanck control framework for multidimensional stochastic processes}, JOURNAL = {J. Comput. Appl. Math.}, FJOURNAL = {Journal of Computational and Applied Mathematics}, VOLUME = {237}, YEAR = {2013}, NUMBER = {1}, PAGES = {487--507}, DOI = {10.1016/j.cam.2012.06.019}, URL = {https://doi.org/10.1016/j.cam.2012.06.019}, } @article {MAnnunziato_ABorzi_2018a, AUTHOR = {M. Annunziato and A. Borz\`\i}, TITLE = {A {F}okker-{P}lanck control framework for stochastic systems}, JOURNAL = {EMS Surv. Math. Sci.}, FJOURNAL = {EMS Surveys in Mathematical Sciences}, VOLUME = {}, YEAR = {2018}, NUMBER = {x}, PAGES = {x-x}, DOI = {10.4171/EMSS/27}, URL = {https://doi.org/10.4171/EMSS/27} } @Article{EAnsari_2014a, author="E. 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Appl.}, FJOURNAL = {Journal of Mathematical Analysis and Applications}, VOLUME = {13}, YEAR = {1966}, PAGES = {476--501}, DOI = {10.1016/0022-247X(66)90043-6}, URL = {https://doi.org/10.1016/0022-247X(66)90043-6}, } @article {PMAnselone_TWPalmer_1968a, AUTHOR = {P. M. Anselone and T. W. Palmer}, TITLE = {Collectively compact sets of linear operators}, JOURNAL = {Pacific J. Math.}, FJOURNAL = {Pacific Journal of Mathematics}, VOLUME = {25}, YEAR = {1968}, PAGES = {417--422}, URL = {http://projecteuclid.org/euclid.pjm/1102986138}, } @article {PMAnselone_TWPalmer_1968b, AUTHOR = {P. M. Anselone and T. W. Palmer}, TITLE = {Spectral analysis of collectively compact, strongly convergent operator sequences}, JOURNAL = {Pacific J. Math.}, FJOURNAL = {Pacific Journal of Mathematics}, VOLUME = {25}, YEAR = {1968}, PAGES = {423--431}, URL = {http://projecteuclid.org/euclid.pjm/1102986139}, } @book{RAnsorge_MGraves_2016a, fauthor = {Ansorge, Richard and Graves, Martin}, author = {R. Ansorge and M. Graves}, title = {The Physics and Mathematics of MRI}, publisher = {Morgan \& Claypool Publishers}, year = {2016}, series = {2053-2571}, url = {http://dx.doi.org/10.1088/978-1-6817-4068-3}, doi = {10.1088/978-1-6817-4068-3} } @PHDTHESIS{HAntil_2009a, author = {H. Antil}, title = {Optimization and Model Reduction of Time Dependent {PDE}-Constrained Optimization Problems: {A}pplications to Surface Acoustic Wave Driven Microfluidic Biochips}, school = {University of Houston, Department of Mathematics}, year = {2009}, month = {December} } @article {HAntil_SBartels_2017a, AUTHOR = {H. Antil and S. Bartels}, FAUTHOR = {Antil, Harbir and Bartels, S\"{o}ren}, TITLE = {Spectral approximation of fractional {PDE}s in image processing and phase field modeling}, JOURNAL = {Comput. Methods Appl. Math.}, FJOURNAL = {Computational Methods in Applied Mathematics}, VOLUME = {17}, YEAR = {2017}, NUMBER = {4}, PAGES = {661--678}, DOI = {10.1515/cmam-2017-0039}, URL = {https://doi.org/10.1515/cmam-2017-0039}, } @article {HAntil_SDolgov_AOnwunta_2023a, AUTHOR = {H. Antil and S. Dolgov and A. Onwunta}, FAUTHOR = {Antil, Harbir and Dolgov, Sergey and Onwunta, Akwum}, TITLE = {T{TRISK}: tensor train decomposition algorithm for risk averse optimization}, JOURNAL = {Numer. Linear Algebra Appl.}, FJOURNAL = {Numerical Linear Algebra with Applications}, VOLUME = {30}, YEAR = {2023}, NUMBER = {3}, PAGES = {Paper No. e2481, 29}, DOI = {10.1002/nla.2481}, URL = {https://doi.org/10.1002/nla.2481}, } @inproceedings{HAntil_AGantner_RHWHoppe_DKoster_KGSiebert_AWixforth_2008a, AUTHOR = {H. Antil and A. Gantner and R.H.W. Hoppe and D. K\"oster and K.G. Siebert and A. Wixforth}, TITLE = {Modeling and simulation of piezoelectrically agitated acoustic streaming on microfluidic biochips}, SERIES = {Lecture Notes in Computational Science and Engineering}, BOOKtitle = {Domain Decomposition Methods in Science and Engineering XVII}, VOLUME = {60}, PAGES = {305--312}, YEAR = {2008}, PUBLISHER = {Springer}, ISBN = {978-3-540-75198-4 (Print) 978-3-540-75199-1 (Online)}, Part = {II}, DOI = {10.1007/978-3-540-75199-1}, } @article{HAntil_RGlowinski_RHWHoppe_CLinsenmann_TWPan_AWixforth_2010a, author={H. Antil and R. Glowinski and R. H. W. Hoppe and C. Linsenmann and T. W. Pan and A. Wixforth}, title={Modeling, simulation, and optimization of surface acoustic wave driven microfluidic biochips}, journal={J. Comput. Math}, volume={28}, number={2}, pages={149-169}, year={2010} } @article {HAntil_MGupta_RPrice_2023a, AUTHOR = {H. Antil and M. Gupta and R. Price}, FAUTHOR = {Harbir Antil and Madhu Gupta and Randy Price}, TITLE = {A Note on Dimensionality Reduction in Deep Neural Networks using Empirical Interpolation Method}, JOURNAL = {arXiv:2305.09842v1}, YEAR = {2023}, URL = {https://doi.org/10.48550/arXiv.2305.09842}, DOI = {10.48550/arXiv.2305.09842} } @article {HAntil_SHardesty_MHeinkenschloss_2017a, AUTHOR = {H. Antil and S. Hardesty and M. Heinkenschloss}, FAUTHOR = {Antil, Harbir and Hardesty, Sean and Heinkenschloss, Matthias}, TITLE = {Shape optimization of shell structure acoustics}, JOURNAL = {SIAM J. Control Optim.}, FJOURNAL = {SIAM Journal on Control and Optimization}, VOLUME = {55}, YEAR = {2017}, NUMBER = {3}, PAGES = {1347--1376}, DOI = {10.1137/16M1070633}, URL = {http://dx.doi.org/10.1137/16M1070633}, } @TECHREPORT{HAntil_SHardesty_MHeinkenschloss_2016b, author = {H. Antil and S. Hardesty and M. Heinkenschloss}, title = {Supplementary Materials: Shape Optimization of Shell Structure Acoustics}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University, Houston, Texas}, year = 2016, note = {http://www.caam.rice.edu/$\sim$heinken/mh\_publications.html} } @TECHREPORT{HAntil_MHeinkenschloss_RHWHoppe_2009a, author = {H. Antil and M. Heinkenschloss and R. H. W. Hoppe}, title = {Domain Decomposition and Balanced Truncation Model Reduction for Shape Optimization of the {S}tokes System}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University}, year = 2009, number = {TR09--24}, note = {Appeared as \cite{HAntil_MHeinkenschloss_RHWHoppe_2011a}} } @article{HAntil_MHeinkenschloss_RHWHoppe_2011a, author = {H. Antil and M. Heinkenschloss and R. H. W. Hoppe}, title = {Domain Decomposition and Balanced Truncation Model Reduction for Shape Optimization of the {S}tokes System}, journal = {Optimization Methods and Software}, volume = {26}, number = {4-5}, pages = {643-669}, year = {2011}, doi = {10.1080/10556781003767904}, URL = {http://dx.doi.org/10.1080/10556781003767904}, } @TECHREPORT{HAntil_MHeinkenschloss_RHWHoppe_CLinsenmann_AWixforth_2009a, author = {H. Antil and M. Heinkenschloss and R. H. W. Hoppe and C. Linsenmann and A. Wixforth}, title = {Reduced Order Modeling Based Shape Optimization of Surface Acoustic Wave Driven Microfluidic Biochips}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University}, year = 2009, number = {TR09}, note = {Mathematics and Computers in Simulation, accepted for publication} } @article{HAntil_MHeinkenschloss_RHWHoppe_CLinsenmann_AWixforth_2012a, author = {H. Antil and M. Heinkenschloss and R. H. W. Hoppe and C. Linsenmann and A. Wixforth}, fauthor = "Harbir Antil and Matthias Heinkenschloss and Ronald H.W. Hoppe and Christopher Linsenmann and Achim Wixforth", title = "Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips", journal = "Mathematics and Computers in Simulation", volume = "82", number = "10", pages = "1986 - 2003", year = "2012", doi = "10.1016/j.matcom.2010.10.027", url = "http://dx.doi.org/10.1016/j.matcom.2010.10.027" } @TECHREPORT{HAntil_MHeinkenschloss_RHWHoppe_DCSorensen_2009a, author = {H. Antil and M. Heinkenschloss and R. H. W. Hoppe and D. C. Sorensen}, title = {Domain Decomposition and Model Reduction for the Numerical Solution of {PDE} Constrained Optimization Problems with Localized Optimization Variables}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University}, year = 2009, number = {TR09--23}, note = {appeared as \cite{HAntil_MHeinkenschloss_RHWHoppe_DCSorensen_2010a}} } @article {HAntil_MHeinkenschloss_RHWHoppe_DCSorensen_2010a, author = {H. Antil and M. Heinkenschloss and R. H. W. Hoppe and D. C. Sorensen}, fauthor = {Antil, Harbir and Heinkenschloss, Matthias and Hoppe, Ronald and Sorensen, Danny}, title = {Domain decomposition and model reduction for the numerical solution of {PDE} constrained optimization problems with localized optimization variables}, journal = {Computing and Visualization in Science}, pages = {249-264}, volume = {13}, issue = {6}, url = {http://dx.doi.org/10.1007/s00791-010-0142-4}, doi = {10.1007/s00791-010-0142-4}, year = {2010} } @incollection {HAntil_MHeinkenschloss_DCSorensen_2014a, AUTHOR = {H. Antil and M. Heinkenschloss and D. C. Sorensen}, TITLE = {Application of the Discrete Empirical Interpolation Method to Reduced Order Modeling of Nonlinear and Parametric Systems}, EDITOR = {A. Quarteroni and G. Rozza}, BOOKTITLE = {Reduced Order Methods for Modeling and Computational Reduction}, SERIES = {MS\&A. Model. Simul. Appl.}, VOLUME = {9}, PAGES = {101-136}, PUBLISHER = {Springer Italia, Milan}, YEAR = {2014}, DOI = {10.1007/978-3-319-02090-7_4}, URL = {http://dx.doi.org/10.1007/978-3-319-02090-7_4} } @article {HAntil_RHWHoppe_CLinsenmann_2007a, AUTHOR = {H. Antil and R. H. W. Hoppe and C. Linsenmann}, TITLE = {Path-following primal-dual interior-point methods for shape optimization of stationary flow problems}, JOURNAL = {J. Numer. Math.}, FJOURNAL = {Journal of Numerical Mathematics}, VOLUME = {15}, YEAR = {2007}, NUMBER = {2}, PAGES = {81--100}, DOI = {10.1515/jnma.2007.005}, URL = {http://dx.doi.org/10.1515/jnma.2007.005}, } @article {HAntil_RHWHoppe_CLinsenmann_2008a, AUTHOR = {H. Antil and R. H. W. Hoppe and C. Linsenmann}, FAUTHOR = {Antil, Harbir and Hoppe, Ronald H. W. and Linsenmann, Christopher}, TITLE = {Optimal design of stationary flow problems by path-following interior-point methods}, JOURNAL = {Control Cybernet.}, FJOURNAL = {Control and Cybernetics}, VOLUME = {37}, YEAR = {2008}, NUMBER = {4}, PAGES = {771--796}, } @book {HAntil_DPKouri_MDLacasse_DRidzal_2018a, EDITOR = {H. Antil and D. P. Kouri and M.-D. Lacasse and D. Ridzal}, TITLE = {Frontiers in {PDE}-constrained optimization}, SERIES = {IMA Vol. Math. Appl.}, VOLUME = {163}, PUBLISHER = {Springer, New York}, YEAR = {2018}, URL = {http://doi.org/10.1007/978-1-4939-8636-1}, DOI = {10.1007/978-1-4939-8636-1} } @article {HAntil_DPKouri_DRidzal_2023a, AUTHOR = {H. Antil and D. P. Kouri and D. Ridzal}, FAUTHOR = {Antil, Harbir and Kouri, Drew P. and Ridzal, Denis}, TITLE = {{ALESQP}: an augmented {L}agrangian equality-constrained {SQP} method for optimization with general constraints}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {33}, YEAR = {2023}, NUMBER = {1}, PAGES = {237--266}, DOI = {10.1137/20M1378399}, URL = {https://doi.org/10.1137/20M1378399}, } @article {HAntil_EOtarola_2015a, AUTHOR = {H. Antil and E. Ot{\'a}rola}, FAUTHOR = {Antil, Harbir and Ot{\'a}rola, Enrique}, TITLE = {A {FEM} for an optimal control problem of fractional powers of elliptic operators}, JOURNAL = {SIAM J. Control Optim.}, FJOURNAL = {SIAM Journal on Control and Optimization}, VOLUME = {53}, YEAR = {2015}, NUMBER = {6}, PAGES = {3432--3456}, DOI = {10.1137/140975061}, URL = {http://dx.doi.org/10.1137/140975061}, } @article{HAntil_EOtarola_2016a, AUTHOR = {H. Antil and E. Ot{\'a}rola}, FAUTHOR = {Antil, Harbir and Ot{\'a}rola, Enrique}, TITLE = {An a posteriori error analysis for an optimal control problem involving the fractional {L}aplacian}, journal ={arXiv:1603.08989v1}, year ={2016} } @article {HAntil_EOtarola_AJSalgado_2016a, AUTHOR = {H. Antil and E. Ot{\'a}rola and A. J. Salgado}, FAUTHOR = {Antil, Harbir and Ot{\'a}rola, Enrique and Salgado, Abner J.}, TITLE = {A Space-Time Fractional Optimal Control Problem: {A}nalysis and Discretization}, JOURNAL = {SIAM J. Control Optim.}, FJOURNAL = {SIAM Journal on Control and Optimization}, VOLUME = {54}, YEAR = {2016}, NUMBER = {3}, PAGES = {1295-1328}, DOI = {10.1137/15M1014991}, URL = {http://dx.doi.org/10.1137/15M1014991}, } @TECHREPORT{HAntil_JPfefferer_2017a, author = {H. Antil and J. Pfefferer}, title = {A short Matlab implementation of fractional Poission equation with nonzero boundary conditions}, institution = {Department of Mathematical Sciences}, address = {George Mason University}, year = 2017, note = {\url{http://math.gmu.edu/~hantil/Tech_Report/HAntil_JPfefferer_2017a.pdf} (accessed Nov 13, 2019)} } @article {HAntil_JPfefferer_SRogovs_2018a, FAUTHOR = {Antil, Harbir and Pfefferer, Johannes and Rogovs, Sergejs}, AUTHOR = {H. Antil and J. Pfefferer and S. Rogovs}, TITLE = {Fractional operators with inhomogeneous boundary conditions: analysis, control, and discretization}, JOURNAL = {Commun. Math. Sci.}, FJOURNAL = {Communications in Mathematical Sciences}, VOLUME = {16}, YEAR = {2018}, NUMBER = {5}, PAGES = {1395--1426}, DOI = {10.4310/CMS.2018.v16.n5.a11}, URL = {https://doi.org/10.4310/CMS.2018.v16.n5.a11}, } @article {HAntil_CNRautenberg_2019a, FAUTHOR = {Antil, Harbir and Rautenberg, Carlos N.}, AUTHOR = {H. Antil and C. N. Rautenberg}, TITLE = {Sobolev spaces with non-{M}uckenhoupt weights, fractional elliptic operators, and applications}, JOURNAL = {SIAM J. Math. Anal.}, FJOURNAL = {SIAM Journal on Mathematical Analysis}, VOLUME = {51}, YEAR = {2019}, NUMBER = {3}, PAGES = {2479--2503}, DOI = {10.1137/18M1224970}, URL = {https://doi.org/10.1137/18M1224970}, } @article {PFAntonietti_PPacciarini_AQuarteroni_2016a, AUTHOR = {P. F. Antonietti and P. Pacciarini and A. 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Tiba}, TITLE = {On the approximation and the optimization of plates}, institution = {Weierstrass Institute for Applied Analysis and Stochastics}, address = {Mohrenstr. 39, 10117 Berlin, Germany}, year = 1997 } @article {VArnautu_HLangmach_JSprekels_DTiba_2000a, AUTHOR = {V. Arnautu and H. Langmach and J. Sprekels and D. Tiba}, TITLE = {On the approximation and the optimization of plates}, JOURNAL = {Numer. Funct. Anal. Optim.}, FJOURNAL = {Numerical Functional Analysis and Optimization. An International Journal}, VOLUME = {21}, YEAR = {2000}, NUMBER = {3-4}, PAGES = {337--354} } @article {VArnautu_JSprekels_DTiba_2005a, AUTHOR = {V. Arn{\u{a}}utu and J. Sprekels and D. Tiba}, FAUTHOR = {Arn{\u{a}}utu, Viorel and Sprekels, J{\"u}rgen and Tiba, Dan}, TITLE = {Optimization problems for curved mechanical structures}, JOURNAL = {SIAM J. Control Optim.}, FJOURNAL = {SIAM Journal on Control and Optimization}, VOLUME = {44}, YEAR = {2005}, NUMBER = {2}, PAGES = {743--775 (electronic)} } @article {RArndt_ANCeretani_CNRautenberg_2020a, AUTHOR = {R. Arndt and A. N. Ceretani and C. N. Rautenberg}, FAUTHOR = {Arndt, Rafael and Ceretani, Andrea N. and Rautenberg, Carlos N.}, TITLE = {On existence and uniqueness of solutions to a {B}oussinesq system with nonlinear and mixed boundary conditions}, JOURNAL = {J. Math. Anal. Appl.}, FJOURNAL = {Journal of Mathematical Analysis and Applications}, VOLUME = {490}, YEAR = {2020}, NUMBER = {1}, PAGES = {124201, 29}, DOI = {10.1016/j.jmaa.2020.124201}, URL = {https://doi.org/10.1016/j.jmaa.2020.124201}, } @MISC{CArnholm_1997, author = {C. Arnholm}, title = {Mixed language programming using {C++} and {FORTRAN 77}}, note = {http://home.online.no/~arnholm/}, year = 1997 } @article {DNArnold_1982a, AUTHOR = {D. N. 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Shu}, booktitle = {Discontinuous {G}alerkin Methods: Theory, Computation and Applications}, series = {Lecture Notes in Computational Science and Engineering, Vol.~11}, publisher = {Springer Verlag}, address = {Berlin, Heidelberg, New York}, year = 2000, pages = {89--101}, DOI = {10.1007/978-3-642-59721-3_5}, URL = {https://doi.org/10.1007/978-3-642-59721-3_5}, } @article {DNArnold_FBrezzi_BCockburn_LDMarini_2001a, AUTHOR = {D. N. Arnold and F. Brezzi and B. Cockburn and L. D. Marini}, FAUTHOR = {Arnold, Douglas N. and Brezzi, Franco and Cockburn, Bernardo and Marini, L. Donatella}, TITLE = {Unified analysis of discontinuous {G}alerkin methods for elliptic problems}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {39}, YEAR = {2001/02}, NUMBER = {5}, PAGES = {1749--1779 (electronic)}, DOI = {10.1137/S0036142901384162}, URL = {https://doi.org/10.1137/S0036142901384162}, } @article {DNArnold_FBrezzi_LDMarini_2005a, AUTHOR = {D. N. Arnold and F. Brezzi and L. D. Marini}, FAUTHOR = {Arnold, Douglas N. and Brezzi, Franco and Marini, L. Donatella}, TITLE = {A family of discontinuous {G}alerkin finite elements for the {R}eissner-{M}indlin plate}, JOURNAL = {J. Sci. Comput.}, FJOURNAL = {Journal of Scientific Computing}, VOLUME = {22/23}, YEAR = {2005}, PAGES = {25--45}, DOI = {10.1007/s10915-004-4134-8}, URL = {https://doi.org/10.1007/s10915-004-4134-8}, } @article{DArnold_VDemyanov_DTatum_MChristie_TRojas_SGeiger_PCorbett_2013a, author = "D. Arnold and V. Demyanov and D. Tatum and M. Christie and T. Rojas and S. Geiger and P. Corbett", title = "Hierarchical benchmark case study for history matching, uncertainty quantification and reservoir characterisation ", journal = "Computers \& Geosciences ", volume = "50", number = "0", pages = "4 - 15", year = "2013", doi = "10.1016/j.cageo.2012.09.011", url = "http://dx.doi.org/10.1016/j.cageo.2012.09.011", } @article {DNArnold_RSFalk_1988a, AUTHOR = {D. N. Arnold and R. S. Falk}, FAUTHOR = {Arnold, Douglas N. and Falk, Richard S.}, TITLE = {A new mixed formulation for elasticity}, JOURNAL = {Numer. Math.}, FJOURNAL = {Numerische Mathematik}, VOLUME = {53}, YEAR = {1988}, NUMBER = {1-2}, PAGES = {13--30} } @article {DNArnold_RSFalk_1989a, AUTHOR = {D. N. Arnold and R. S. Falk}, FAUTHOR = {Arnold, Douglas N. and Falk, Richard S.}, TITLE = {A uniformly accurate finite element method for the {R}eissner-{M}indlin plate}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {26}, YEAR = {1989}, NUMBER = {6}, PAGES = {1276--1290} } @INCOLLECTION{DNArnold_RSFalk_1989b, AUTHOR = {D. N. Arnold and R. S. Falk}, FAUTHOR = {Arnold, Douglas N. and Falk, Richard S.}, title = {Edge effects in the {R}eissner-{M}indlin plate theory}, booktitle = {Analytic and Computational Models of Shells}, publisher = {A.S.M.E.}, address = {New York}, editor = {A. K. Noor and T. Belytschko and J. C. 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Ascher}, FAUTHOR = {Ascher, Uri M.}, TITLE = {Numerical methods for evolutionary differential equations}, SERIES = {Computational Science \& Engineering}, VOLUME = {5}, PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA}, YEAR = {2008}, DOI = {10.1137/1.9780898718911}, URL = {http://dx.doi.org/10.1137/1.9780898718911}, } @article {UMAscher_GBader_1986a, AUTHOR = {U. M. Ascher and G. Bader}, TITLE = {Stability of collocation at {G}aussian points}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {23}, YEAR = {1986}, NUMBER = {2}, PAGES = {412--422}, DOI = {10.1137/0723028}, URL = {https://doi.org/10.1137/0723028}, } @article{UMAscher_GBader_1989a, AUTHOR = {U. M. Ascher and G. Bader}, TITLE = {A note on conditioning, stability and collocation matrices}, NOTE = {Numerical ordinary differential equations (Albuquerque, NM, 1986)}, JOURNAL = {Appl. Math. Comput.}, FJOURNAL = {Applied Mathematics and Computation}, VOLUME = {31}, YEAR = {1989}, PAGES = {437--448}, DOI = {10.1016/0096-3003(89)90132-X}, URL = {https://doi.org/10.1016/0096-3003(89)90132-X}, } @ARTICLE {UMAscher_EHaber_2001a, AUTHOR = {U. M. Ascher and E. Haber}, TITLE = {Grid refinement and scaling for distributed parameter estimation problems}, JOURNAL = {Inverse Problems}, VOLUME = {17}, YEAR = {2001}, NUMBER = {3}, PAGES = {571--590} } @TECHREPORT{UMAscher_EHaber_2001b, author = {U. M. Ascher and E. Haber}, title = {A multigrid method for distributed parameter estimation problems}, institution = {Institute of Applied Mathematics, University of British Columbia}, address = {Vancouver, BC, V6T 1Z4,Canada}, year = 2001, note = {Appeared as \cite{UMAscher_EHaber_2003a}} } @article {UMAscher_EHaber_2003a, AUTHOR = {Ascher, U. M. and Haber, E.}, TITLE = {A multigrid method for distributed parameter estimation problems}, JOURNAL = {Electron. Trans. Numer. Anal.}, FJOURNAL = {Electronic Transactions on Numerical Analysis}, VOLUME = {15}, YEAR = {2003}, PAGES = {1--17 (electronic)} } @BOOK{UMAscher_RMMMattheij_RDRussel_1995, AUTHOR = {U. M. Ascher and R. M. M. Mattheij and R. D. Russel}, FAUTHOR = {Ascher, Uri M. and Mattheij, Robert M. M. and Russell, Robert D.}, TITLE = {Numerical solution of boundary value problems for ordinary differential equations}, SERIES = {Classics in Applied Mathematics}, VOLUME = {13}, NOTE = {Corrected reprint of the 1988 original}, PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA}, YEAR = {1995}, DOI = {10.1137/1.9781611971231}, URL = {https://doi.org/10.1137/1.9781611971231}, } @article {UMAscher_MROsborne_1987a, AUTHOR = {U. M. Ascher and M. R. Osborne}, TITLE = {A note on solving nonlinear equations and the natural criterion function}, JOURNAL = {J. Optim. Theory Appl.}, FJOURNAL = {Journal of Optimization Theory and Applications}, VOLUME = {55}, YEAR = {1987}, NUMBER = {1}, PAGES = {147--152}, DOI = {10.1007/BF00939050}, URL = {http://dx.doi.org/10.1007/BF00939050}, } @BOOK{UMAscher_LRPetzold_1998, author = {U. M. Ascher and L. R. Petzold}, title = {Computer Methods for Ordinary Differential Equations and Differential--Algebraic Equations}, publisher = {SIAM}, address = {Philadelphia}, year = 1998, DOI = {10.1137/1.9781611971392}, URL = {http://dx.doi.org/10.1137/1.9781611971392}, } @article {UMAscher_RJSpiteri_1994a, AUTHOR = {U. M. Ascher and R. J. Spiteri}, FAUTHOR = {Ascher, Uri M. and Spiteri, Raymond J.}, TITLE = {Collocation software for boundary value differential-algebraic equations}, JOURNAL = {SIAM J. Sci. Comput.}, FJOURNAL = {SIAM Journal on Scientific Computing}, VOLUME = {15}, YEAR = {1994}, NUMBER = {4}, PAGES = {938--952}, DOI = {10.1137/0915056}, URL = {https://doi.org/10.1137/0915056}, } @article {UMAscher_RWeiss_1983a, AUTHOR = {U. M. Ascher and R. Weiss}, TITLE = {Collocation for singular perturbation problems. {I}. {F}irst order systems with constant coefficients}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {20}, YEAR = {1983}, NUMBER = {3}, PAGES = {537--557}, DOI = {10.1137/0720035}, URL = {https://doi.org/10.1137/0720035}, } @article {UMAscher_RWeiss_1984a, AUTHOR = {U. M. Ascher and R. Weiss}, TITLE = {Collocation for singular perturbation problems. {II}. {L}inear first order systems without turning points}, JOURNAL = {Math. 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Dupuis}, FAUTHOR = {Atar, Rami and Chowdhary, Kenny and Dupuis, Paul}, TITLE = {Robust bounds on risk-sensitive functionals via {R}\'{e}nyi divergence}, JOURNAL = {SIAM/ASA J. Uncertain. Quantif.}, FJOURNAL = {SIAM/ASA Journal on Uncertainty Quantification}, VOLUME = {3}, YEAR = {2015}, NUMBER = {1}, PAGES = {18--33}, DOI = {10.1137/130939730}, URL = {https://doi.org/10.1137/130939730}, } @article {MAthans_1967a, AUTHOR = {M. Athans}, FAUTHOR = {Athans, Michael}, TITLE = {The matrix minimum principle}, JOURNAL = {Information and Control}, FJOURNAL = {Information and Computation}, VOLUME = {11}, YEAR = {1967}, PAGES = {592--606} } @TECHREPORT{MAthans_1967b, AUTHOR = {M. Athans}, FAUTHOR = {Athans, Michael}, TITLE = {The matrix minimum principle}, institution = {NASA}, number = {ESL-R-317; NASA-CR-89628}, year = 1967, note = {Available from http://ntrs.nasa.gov} } @ARTICLE{MAthans_1971a, author={M. 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Stewart}, FAUTHOR = {Atkinson, Kendall E. and Han, Weimin and Stewart, David}, TITLE = {Numerical solution of ordinary differential equations}, SERIES = {Pure and Applied Mathematics (Hoboken)}, PUBLISHER = {John Wiley \& Sons, Inc., Hoboken, NJ}, YEAR = {2009}, DOI = {10.1002/9781118164495}, URL = {https://doi.org/10.1002/9781118164495}, } @article {AAttia_AAlexanderian_AKSaibaba_2018a, AUTHOR = {A. Attia and A. Alexanderian and A. K. Saibaba}, FAUTHOR = {Attia, Ahmed and Alexanderian, Alen and Saibaba, Arvind K.}, TITLE = {Goal-oriented optimal design of experiments for large-scale {B}ayesian linear inverse problems}, JOURNAL = {Inverse Problems}, FJOURNAL = {Inverse Problems. 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Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {8}, YEAR = {1971}, PAGES = {304--315}, DOI = {10.1137/0708031}, URL = {https://doi.org/10.1137/0708031}, } @article {IBabuska_1973a, AUTHOR = {I. Babu{\v{s}}ka}, TITLE = {The finite element method with {L}agrangian multipliers}, JOURNAL = {Numer. Math.}, VOLUME = {20}, NUMBER = {3}, YEAR = {1973}, PAGES = {179--192}, DOI = {10.1007/BF01436561}, URL = {http://dx.doi.org/10.1007/BF01436561} } @article {IBabuska_1973b, AUTHOR = {I. Babu{\v{s}}ka}, TITLE = {The finite element method with penalty}, JOURNAL = {Math. Comp.}, VOLUME = {27}, YEAR = {1973}, PAGES = {221--228}, DOI = {10.2307/2005611}, URL = {https://doi.org/10.2307/2005611}, } } @INPROCEEDINGS{IBabuska_AAziz_1972, author = {I. Babuska and A. K. Aziz}, title = {Survey lectures on the mathematical foundations of the finite element method}, editor = {A. K. 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Math.}, FJOURNAL = {Numerische Mathematik}, VOLUME = {96}, YEAR = {2004}, NUMBER = {4}, PAGES = {601--640} } @ARTICLE{IBabuska_CEBaumann_JTOden_1999a, Author = {I. Babuska and C. E. Baumann and J. T. Oden}, Year = 1999, Title = {A discontinuous $hp$ finite element method for diffusion problems: $1--D$ Analysis}, Journal = {Comput. Math. Appl.}, Volume = {37}, Pages = {103--122}, note = {\small http://www.ticam.utexas.edu/$\sim$carlosb/} } @article {IBabuska_PChatzipantelidis_2002a, AUTHOR = {I. Babu{\v{s}}ka and P. Chatzipantelidis}, FAUTHOR = {Babu{\v{s}}ka, Ivo and Chatzipantelidis, Panagiotis}, TITLE = {On solving elliptic stochastic partial differential equations}, JOURNAL = {Comput. Methods Appl. Mech. Engrg.}, FJOURNAL = {Computer Methods in Applied Mechanics and Engineering}, VOLUME = {191}, YEAR = {2002}, NUMBER = {37-38}, PAGES = {4093--4122} } @article {IBabuska_KMLiu_2003a, AUTHOR = {I. Babu{\v{s}}ka and K.-M. 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Herty}, title={A method for model identification and parameter estimation}, journal={Inverse Problems}, volume={29}, number={2}, pages={025009, 19}, year={2013}, DOI = {10.1088/0266-5611/29/2/025009}, URL = {http://dx.doi.org/10.1088/0266-5611/29/2/025009}, } @article {ABamberger_THa-Duong_1987a, AUTHOR = {A. Bamberger and T. Ha-Duong}, TITLE = {Diffraction d'une onde acoustique par une paroi absorbante: nouvelles \'equations int\'egrales}, JOURNAL = {Math. Methods Appl. Sci.}, FJOURNAL = {Mathematical Methods in the Applied Sciences}, VOLUME = {9}, YEAR = {1987}, NUMBER = {4}, PAGES = {431--454} } @article {SBanert_RIBot_ERCsetnek_2016a, AUTHOR = {S. Banert and R. I. Bo\c{t} and E. R. Csetnek}, FAUTHOR = {Banert, Sebastian and Bo\c{t}, Radu Ioan and Csetnek, Ern\"{o} Robert}, TITLE = {Fixing and extending some recent results on the {ADMM} algorithm}, JOURNAL = {arXiv:1612.05057v2}, YEAR = {2016}, URL = {http://arxiv.org/abs/1612.05057v2} } @ARTICLE {GNBancroft_etal_2002a, AUTHOR = {G. N. Bancroft and V. I. Sikavitsas and J. {van den Dolder} and T. L. Sheffield and C. G. Ambrose and J. A. Jansen and A. G. Mikos}, TITLE = {Fluid flow increases mineralized matrix deposition in {3D} perfusion culture of marrow stromal osteoblasts in a dose-dependent manner}, JOURNAL = {Proceedings of the National Academy of Sciences (PNAS)}, VOLUME = {99}, NUMBER = {20}, YEAR = {2002}, PAGES = {12600--12605} } @article {ASBandeira_KScheinberg_LNVicente_2014a, AUTHOR = {A. S. Bandeira and K. Scheinberg and L. N. Vicente}, TITLE = {Convergence of trust-region methods based on probabilistic models}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {24}, YEAR = {2014}, NUMBER = {3}, PAGES = {1238--1264}, DOI = {10.1137/130915984}, URL = {https://doi.org/10.1137/130915984}, } @ARTICLE{JWBandler_QSCheng_SADakroury_ASMohamed_MHBakr_KMadsen_JSondergaard_2004a, author = {J. W. Bandler and Q. S. Cheng and S. A. Dakroury and A. S. Mohamed and M. H. Bakr and K. Madsen and J. Sondergaard}, fauthor = {Bandler, J.W. and Cheng, Q.S. and Dakroury, S.A. and Mohamed, A.S. and Bakr, M.H. and Madsen, K. and Sondergaard, J.}, journal = {IEEE Transactions on Microwave Theory and Techniques}, title = {Space mapping: the state of the art}, year = {2004}, volume = {52}, number = {1}, pages = {337-361}, doi = {10.1109/TMTT.2003.820904}, url = {http://dx.doi.org/10.1109/TMTT.2003.820904} } @Article{WBangerth_HKlie_MFWheeler_PLStoffa_MSen_2006a, author = {W. Bangerth and H. Klie and M. F. Wheeler and P. L. Stoffa and M. Sen}, title = {On optimization algorithms for the reservoir oil well placement problem}, journal = {Comp. Geosciences}, year = 2006, volume = {10}, pages = {303--319} } @ARTICLE {WBangerth_RRannacher_1999a, AUTHOR = {W. Bangerth and R. Rannacher}, TITLE = {Finite element approximation of the acoustic wave equation: error control and mesh adaptation}, JOURNAL = {East-West J. Numer. Math.}, VOLUME = {7}, YEAR = {1999}, NUMBER = {4}, PAGES = {263--282} } @ARTICLE {WBangerth_RRannacher_2001a, AUTHOR = {W. Bangerth and R. Rannacher}, TITLE = {Adaptive finite element techniques for the acoustic wave equation}, JOURNAL = {J. Comput. Acoust.}, VOLUME = {9}, YEAR = {2001}, NUMBER = {2}, PAGES = {575--591} } @book {WBangerth_RRannacher_2003a, AUTHOR = {W. Bangerth and R. Rannacher}, FAUTHOR = {Bangerth, Wolfgang and Rannacher, Rolf}, TITLE = {Adaptive finite element methods for differential equations}, SERIES = {Lectures in Mathematics ETH Z\"urich}, PUBLISHER = {Birkh\"auser Verlag}, ADDRESS = {Basel}, YEAR = {2003} } @ARTICLE {EBaengtsson_DNoreland_MBerggren_2003a, AUTHOR = {E. B{\"a}ngtsson and D. Noreland and M. Berggren}, TITLE = {Shape optimization of an acoustic horn}, JOURNAL = {Computer Methods in Applied Mechanics and Engineering}, VOLUME = {192}, YEAR = {2003}, NUMBER = {11-12}, PAGES = {1533--1571} } @article {SBanholzer_TKeil_LMechelli_MOhlberger_FSchindler_SVolkwein_2020a, AUTHOR = {S. Banholzer and T. Keil and L. Mechelli and M. Ohlberger and F. Schindler and S. Volkwein}, FAUTHOR = {Stefan Banholzer and Tim Keil and Luca Mechelli and Mario Ohlberger and Felix Schindler and Stefan Volkwein}, TITLE = {An adaptive projected {N}ewton non-conforming dual approach for trust-region reduced basis approximation of {PDE}-constrained parameter optimization}, JOURNAL = {arXiv:2012.11653v1}, YEAR = {2020}, URL = {http://arxiv.org/abs/2012.11653}, } @article {GBanjac_PGoulart_BStellato_SBoyd_2019a, AUTHOR = {G. Banjac and P. Goulart and B. Stellato and S. Boyd}, FAUTHOR = {Banjac, Goran and Goulart, Paul and Stellato, Bartolomeo and Boyd, Stephen}, TITLE = {Infeasibility detection in the alternating direction method of multipliers for convex optimization}, JOURNAL = {J. Optim. Theory Appl.}, FJOURNAL = {Journal of Optimization Theory and Applications}, VOLUME = {183}, YEAR = {2019}, NUMBER = {2}, PAGES = {490--519}, DOI = {10.1007/s10957-019-01575-y}, URL = {https://doi.org/10.1007/s10957-019-01575-y}, } @article {LBanjai_WHackbusch_2008a, AUTHOR = {L. Banjai and W. Hackbusch}, FAUTHOR = {Banjai, Lehel and Hackbusch, Wolfgang}, TITLE = {Hierarchical matrix techniques for low- and high-frequency {H}elmholtz problems}, JOURNAL = {IMA J. Numer. Anal.}, FJOURNAL = {IMA Journal of Numerical Analysis}, VOLUME = {28}, YEAR = {2008}, NUMBER = {1}, PAGES = {46--79}, DOI = {10.1093/imanum/drm001}, URL = {http://dx.doi.org/10.1093/imanum/drm001}, } @BOOK{REBank_1990, author = {R. E. Bank}, title = {{PLTMG}: A Software Package for Solving Elliptic Partial Differential Equations. User's Guide 6.0}, publisher = {SIAM}, address = {Philadelphia}, series = {Frontiers in Applied Mathematics, Vol.7}, year = 1990 } @incollection {REBank_1996a, AUTHOR = {R. E. Bank}, TITLE = {Hierarchical bases and the finite element method}, BOOKTITLE = {Acta Numerica, 1996}, SERIES = {Acta Numer.}, VOLUME = {5}, PAGES = {1--43}, PUBLISHER = {Cambridge Univ. Press}, ADDRESS = {Cambridge}, YEAR = {1996}, DOI = {10.1017/S0962492900002610} } @ARTICLE{REBank_TFDupont_HYserentant_1988, author = {R. E. Bank and T. F. Dupont and H. Yserentant}, title = {The Hierarchical Basis Multigrid Method}, journal = {Numer. Math.}, volume = {52}, pages = {427--458}, year = 1988 } @incollection {REBank_PEGill_RFMarcia_2003a, AUTHOR = {R. E. Bank and P. E. Gill and R. F. Marcia}, FAUTHOR = {Bank, Randolph E. and Gill, Philip E. and Marcia, Roummel F.}, TITLE = {Interior methods for a class of elliptic variational inequalities}, BOOKTITLE = {Large-scale PDE-constrained optimization (Santa Fe, NM, 2001)}, EDITOR = {L. T. Biegler and O. Ghattas and M. Heinkenschloss and B. van~Bloemen~Waanders}, SERIES = {Lect. Notes Comput. Sci. Eng.}, VOLUME = {30}, PAGES = {218--235}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {2003} } @incollection {REBank_SGutsch_1998a, AUTHOR = {R. E. Bank and S. Gutsch}, TITLE = {The generalized hierarchical basis two-level method for the convection-diffusion equation on a regular grid}, BOOKTITLE = {Multigrid methods V (Stuttgart, 1996)}, SERIES = {Lect. Notes Comput. Sci. Eng.}, VOLUME = {3}, PAGES = {1--20}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {1998} } @INPROCEEDINGS{REBank_SGutsch_1998b, AUTHOR = {R. E. Bank and S. Gutsch}, TITLE = {The generalized hierarchical basis two-level method for the convection-diffusion equation on a regular grid}, editor = {P. Bj{\o}rstad and M. Espedal and D. Keyes}, BOOKtitle = {DD9 Proceedings}, publisher = {Domain Decomposition Press}, address = {Bergen, Norway}, year = 1998, pages = {251--265}, } @INCOLLECTION{REBank_AHSherman_AWeiser_1983, author = {R. E. Bank and A. H. Sherman and A. Weiser}, title = {Refinement Algorithms and Data Structures for Regular Local Mesh Refinement}, editor = {R. Stepleman et.\ al.\ }, booktitle = {Scientific Computing}, publisher = {{IMACS} / North--Holland}, address = {Amsterdam, New York, Oxford, Tokyo}, year = 1983 } @ARTICLE{REBank_RKSmith_1987, author = {R. E. Bank and R. K. Smith}, title = {General sparse elimination requires no permanent integer storage}, journal = {SIAM J. Sci. Stat. Comput.}, volume = {8}, pages = {574--584}, year = 1987 } @ARTICLE{REBank_RKSmith_1999a, author = {R. E. Bank and R. K. Smith}, FAUTHOR = {Bank, Randolph E. and Smith, R. Kent}, TITLE = {The incomplete factorization multigraph algorithm}, JOURNAL = {SIAM J. Sci. Comput.}, FJOURNAL = {SIAM Journal on Scientific Computing}, VOLUME = {20}, YEAR = {1999}, NUMBER = {4}, PAGES = {1349--1364 (electronic)} } @ARTICLE{REBank_RKSmith_2002a, author = {R. E. Bank and R. K. Smith}, FAUTHOR = {Bank, Randolph E. and Smith, R. Kent}, TITLE = {An algebraic multilevel multigraph algorithm}, JOURNAL = {SIAM J. Sci. Comput.}, FJOURNAL = {SIAM Journal on Scientific Computing}, VOLUME = {23}, YEAR = {2002}, NUMBER = {5}, PAGES = {1572--1592 (electronic)} } @article {REBank_CWagner_1999a, AUTHOR = {R. E. Bank and C. Wagner}, TITLE = {Multilevel {ILU} decomposition}, JOURNAL = {Numer. Math.}, FJOURNAL = {Numerische Mathematik}, VOLUME = {82}, YEAR = {1999}, NUMBER = {4}, PAGES = {543--576} } @article {REBank_JWLWan_ZQu_2006a, AUTHOR = {R. E. Bank and J. W. L. Wan and Z. Qu}, FAUTHOR = {Bank, Randolph E. and Wan, Justin W. L. and Qu, Zhenpeng}, TITLE = {Kernel preserving multigrid methods for convection-diffusion equations}, JOURNAL = {SIAM J. Matrix Anal. Appl.}, FJOURNAL = {SIAM Journal on Matrix Analysis and Applications}, VOLUME = {27}, YEAR = {2006}, NUMBER = {4}, PAGES = {1150--1171 (electronic)} } @ARTICLE{REBank_BWelfert_HYserentant_1990, author = {R. E. Bank and B. Welfert and H. Yserentant}, title = {A class of iterative metjods for solving saddle point problems}, journal = {Numerische Mathematik}, volume = {56}, pages = {645--666}, year = 1990 } @incollection {REBank_JXu_1994a, AUTHOR = {R. E. Bank and J. Xu}, TITLE = {The hierarchical basis multigrid method and incomplete {$LU$} decomposition}, BOOKTITLE = {Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}, SERIES = {Contemp. Math.}, VOLUME = {180}, PAGES = {163--173}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {1994} } @article {REBank_JXu_1996a, AUTHOR = {R. E. Bank and J. Xu}, FAUTHOR = {Bank, Randolph E. and Xu, Jinchao}, TITLE = {An algorithm for coarsening unstructured meshes}, JOURNAL = {Numer. Math.}, FJOURNAL = {Numerische Mathematik}, VOLUME = {73}, YEAR = {1996}, NUMBER = {1}, PAGES = {1--36} } @misc {HTBanks_2010a, AUTHOR = {H. T. Banks}, TITLE = {Applied Functional Analysis}, howpublished = {Lecture Notes Spring 2010, Center for Research in Scientific Computation, Department of Mathematics, N.\ C.\ State University}, YEAR = {2010}, } @book {HTBanks_2012a, AUTHOR = {H. T. Banks}, TITLE = {A Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering}, PUBLISHER = {CRC Press, Boca Raton, FL}, YEAR = {2012}, DOI = {10.1201/b12209}, URL = {https://doi.org/10.1201/b12209}, } @article {SPBanks_1992a, AUTHOR = {S. P. Banks}, TITLE = {Infinite-dimensional {C}arleman linearization, the {L}ie series and optimal control of nonlinear partial differential equations}, JOURNAL = {Internat. J. Systems Sci.}, FJOURNAL = {International Journal of Systems Science. Principles and Applications of Systems and Integration}, VOLUME = {23}, YEAR = {1992}, NUMBER = {5}, PAGES = {663--675} } @article {HTBanks_SCBeeler_GMKepler_HTTran_2002a, AUTHOR = {H. T. Banks and S. C. Beeler and G. M. Kepler and H. T. Tran}, TITLE = {Reduced order modeling and control of thin film growth in an {HPCVD} reactor}, JOURNAL = {SIAM J. Appl. Math.}, FJOURNAL = {SIAM Journal on Applied Mathematics}, VOLUME = {62}, YEAR = {2002}, NUMBER = {4}, PAGES = {1251--1280 (electronic)}, DOI = {10.1137/S0036139901383280}, URL = {http://dx.doi.org/10.1137/S0036139901383280}, } @BOOK{HTBanks_MWBuskas_TLin_2000, author = {H. T. Banks and M. W. Buskas and T. Lin}, title = {Electromagnetic Material Interrogation Using Conductive Interfaces and Acoustic Wavefronts}, publisher = {SIAM}, address = {Philadelphia}, series = {Frontiers in Applied Mathematics}, year = 2000 } @article {HTBanks_RCdelRosario_RCSmith_2000a, AUTHOR = {H. T. Banks and R. C. {del Rosario} and R. C. Smith}, TITLE = {Reduced-order model feedback control design: numerical implementation in a thin shell model}, JOURNAL = {IEEE Trans. Automat. Control}, FJOURNAL = {Institute of Electrical and Electronics Engineers. Transactions on Automatic Control}, VOLUME = {45}, YEAR = {2000}, NUMBER = {7}, PAGES = {1312--1324} } @article {HTBanks_SDediu_SLErnstberger_FKappel_2010a, AUTHOR = {HTBanks_SDediu_SLErnstberger_FKappel}, FAUTHOR = {Banks, H. T. and Dediu, Sava and Ernstberger, Stacey L. and Kappel, Franz}, TITLE = {Generalized sensitivities and optimal experimental design}, JOURNAL = {J. Inverse Ill-Posed Probl.}, FJOURNAL = {Journal of Inverse and Ill-Posed Problems}, VOLUME = {18}, YEAR = {2010}, NUMBER = {1}, PAGES = {25--83}, DOI = {10.1515/JIIP.2010.002}, URL = {http://dx.doi.org/10.1515/JIIP.2010.002}, } @INCOLLECTION{HTBanks_RHFabiano_1998, author = {H. T. Banks and R. H. Fabiano}, title = {Approximation Issues for Applications in Optimal Control and Parameter Estimation}, editor = {J. W. Jerome}, booktitle = {Modelling and Computation for Application in Mathematics, Science, and Engineering}, publisher = {Oxford University Press}, address = {New York, London}, pages = {141--165}, year = 1998 } @article {HTBanks_KHolm_FKappel_2011a, AUTHOR = {H. T. Banks and K. Holm and F. Kappel}, TITLE = {Comparison of optimal design methods in inverse problems}, JOURNAL = {Inverse Problems}, FJOURNAL = {Inverse Problems. An International Journal on the Theory and Practice of Inverse Problems, Inverse Methods and Computerized Inversion of Data}, VOLUME = {27}, YEAR = {2011}, NUMBER = {7}, PAGES = {075002, 31}, DOI = {10.1088/0266-5611/27/7/075002}, URL = {http://dx.doi.org/10.1088/0266-5611/27/7/075002}, } @article {HTBanks_SHu_2012a, AUTHOR = {H. T. Banks and S. Hu}, FAUTHOR = {Harvey Thomas Banks and Shuhua Hu}, TITLE = {Propagation of growth uncertainty in a physiologically structured population}, JOURNAL = {Math. Model. Nat. Phenom.}, FJOURNAL = {Mathematical Modelling of Natural Phenomena}, VOLUME = {7}, YEAR = {2012}, NUMBER = {5}, PAGES = {7--23}, DOI = {10.1051/mmnp/20127503}, URL = {https://doi.org/10.1051/mmnp/20127503}, } @ARTICLE{HTBanks_SHu_ZRKenz_2011a, author = {H. T. Banks and S. Hu and Z. R. Kenz}, fauthor = {Harvey Thomas Banks and Shuhua Hu and Zackary R. Kenz}, title = {A Brief Review of Elasticity and Viscoelasticity for Solids}, journal = {Adv. Appl. Math. Mech.}, year = 2011, volume = 3, pages = {1-51}, doi = {10.4208/aamm.10-m1030} } @article {HTBanks_GMKepler_2003a, AUTHOR = {H. T. Banks and G. M. Kepler}, TITLE = {Reduced order computational methods for electromagnetic material interrogation using pulsed signals and conductive reflecting interfaces}, JOURNAL = {J. Inverse Ill-Posed Probl.}, FJOURNAL = {Journal of Inverse and Ill-Posed Problems}, VOLUME = {11}, YEAR = {2003}, NUMBER = {4}, PAGES = {343--370}, DOI = {10.1163/156939403770862776}, URL = {http://dx.doi.org/10.1163/156939403770862776}, } @TECHREPORT{HTBanks_FKojima_1988, author = {H. T. Banks and F. Kojima}, title = {Boundary Shape Identification Problems in two dimensional domains related to thermal testing of materials}, institution = {ICASE, NASA Langley Research Center, Hampton VA 23665}, number = {88--23}, year = 1988 } @BOOK{HTBanks_KKunisch_1989, author = {H. T. Banks and K. Kunisch}, title = {Estimation Techniques for Distributed Parameter Systems}, publisher = {Birkh\"auser-Verlag}, address = {Boston, Basel, Berlin}, series = {Systems \& Control: Foundations \& Applications}, year = 1989 } @book {HTBanks_SHu_WCThompson_2014a, AUTHOR = {H. T. Banks and S. Hu and W. C. Thompson}, FAUTHOR = {Banks, H. T. and Hu, Shuhua and Thompson, W. Clayton}, TITLE = {Modeling and inverse problems in the presence of uncertainty}, SERIES = {Monographs and Research Notes in Mathematics}, PUBLISHER = {CRC Press, Boca Raton, FL}, YEAR = {2014}, } @article {HTBanks_RCSmith_1995a, AUTHOR = {H. T. Banks and R. C. Smith}, TITLE = {Well-posedness of a model for structural acoustic coupling in a cavity enclosed by a thin cylindrical shell}, JOURNAL = {J. Math. Anal. Appl.}, FJOURNAL = {Journal of Mathematical Analysis and Applications}, VOLUME = {191}, YEAR = {1995}, NUMBER = {1}, PAGES = {1--25} } @article {HTBanks_RCSmith_1996a, AUTHOR = {H. T. Banks and R. C. Smith}, TITLE = {Parameter estimation in a structural acoustic system with fully nonlinear coupling conditions}, JOURNAL = {Math. Comput. Modelling}, FJOURNAL = {Mathematical and Computer Modelling}, VOLUME = {23}, YEAR = {1996}, NUMBER = {4}, PAGES = {17--50} } @INCOLLECTION {HTBanks_RCSmith_1998a, AUTHOR = {H. T. Banks and R. C. Smith}, TITLE = {Numerical techniques for simulation, parameter estimation, and noise control in structural acoustic systems}, BOOKTITLE = {Dynamics and control of distributed systems}, PAGES = {202--263}, PUBLISHER = {Cambridge Univ. Press}, ADDRESS = {Cambridge}, YEAR = {1998} } @BOOK{HTBanks_RCSmith_YWang_1996, author = {H. T. Banks and R. C. Smith and Y. Wang}, title = {Smart Material Structures. Modeling, Estimation, and Control}, publisher = {Wiley \& Sons and Masson}, address = {Chichester, New York, Paris}, series = {Research in Applied Mathematics}, year = 1996 } @ARTICLE{HTBanks_YWang_DJInman_JCSlater_1994, author = {H. T. Banks and Y. Wang and D. J. Inman and J. C. Slater}, title = {Approximation and parameter identification for damped second order systems with unbounded input operators}, journal = {Control: Theory and Advanced Technology}, volume = {10}, pages = {873--892}, year = 1994 } @TECHREPORT{RNBannister_2001a, author = {R. N. Bannister}, title = {Elementary 4D-Var}, number = {DARC TR No. 2}, institution = {Data Assimilation Research Centre}, address = {University of Reading, UK}, year = 2001, note = {\url{http://www.met.rdg.ac.uk/~ross/DARC/DataAssim.html} (accessed Feb.~9, 2012)} } @article {HBansal_PSchulze_MHAbbasi_HZwart_LIapichino_WHASchilders_NvandeWouw_2021a, AUTHOR = {H. Bansal and P. Schulze and M. H. Abbasi and H. Zwart and L. Iapichino and W. H. A. Schilders and N. {van de Wouw}}, TITLE = {Port-{H}amiltonian formulation of two-phase flow models}, JOURNAL = {Systems Control Lett.}, FJOURNAL = {Systems \& Control Letters}, VOLUME = {149}, YEAR = {2021}, PAGES = {Paper No. 104881, 9}, DOI = {10.1016/j.sysconle.2021.104881}, URL = {https://doi.org/10.1016/j.sysconle.2021.104881}, } @article {EBansch_1991a, AUTHOR = {E. B{\"a}nsch}, FAUTHOR = {B{\"a}nsch, Eberhard}, TITLE = {An adaptive finite-element strategy for the three-dimensional time-dependent {N}avier-{S}tokes equations}, JOURNAL = {J. Comput. Appl. Math.}, FJOURNAL = {Journal of Computational and Applied Mathematics}, VOLUME = {36}, YEAR = {1991}, NUMBER = {1}, PAGES = {3--28} } @article {EBansch_1991b, AUTHOR = {E. B{\"a}nsch}, FAUTHOR = {B{\"a}nsch, Eberhard}, TITLE = {Local mesh refinement in {$2$} and {$3$} dimensions}, JOURNAL = {Impact Comput. Sci. Engrg.}, FJOURNAL = {Impact of Computing in Science and Engineering}, VOLUME = {3}, YEAR = {1991}, NUMBER = {3}, PAGES = {181--191} } @incollection {EBansch_PBenner_2012a, AUTHOR = {E. B{\"a}nsch and P. Benner}, FAUTHOR = {B{\"a}nsch, Eberhard and Benner, Peter}, TITLE = {Stabilization of incompressible flow problems by {R}iccati-based feedback}, BOOKTITLE = {Constrained optimization and optimal control for partial differential equations}, SERIES = {Internat. Ser. Numer. 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Benner and J. Saak and H. K. Weichelt}, FAUTHOR = {B\"ansch, Eberhard and Benner, Peter and Saak, Jens and Weichelt, Heiko K.}, TITLE = {Riccati-based boundary feedback stabilization of incompressible {N}avier-{S}tokes flows}, JOURNAL = {SIAM J. Sci. Comput.}, FJOURNAL = {SIAM Journal on Scientific Computing}, VOLUME = {37}, YEAR = {2015}, NUMBER = {2}, PAGES = {A832--A858}, DOI = {10.1137/140980016}, URL = {http://dx.doi.org/10.1137/140980016}, } @article {EBansch_BHohn_2000a, AUTHOR = {E. B{\"a}nsch and B. H{\"o}hn}, FAUTHOR = {B{\"a}nsch, Eberhard and H{\"o}hn, Burkhard}, TITLE = {Numerical treatment of the {N}avier-{S}tokes equations with slip boundary condition}, JOURNAL = {SIAM J. Sci. Comput.}, FJOURNAL = {SIAM Journal on Scientific Computing}, VOLUME = {21}, YEAR = {2000}, NUMBER = {6}, PAGES = {2144--2162 (electronic)} } @BOOK{RGBaraniuk_MADavenport_MFDuarte_CHegde_2011a, author = {R. G. Baraniuk and M. A. Davenport and M. F. Duarte and C. 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Gugercin}, title={Krylov-based model reduction of second-order systems with proportional damping}, booktitle={Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on}, year={2005}, month={Dec.}, pages={ 2278-2283}, } @article {CBeattie_SGugercin_2009a, AUTHOR = {C. Beattie and S. Gugercin}, FAUTHOR = {Beattie, Christopher and Gugercin, Serkan}, TITLE = {Interpolatory projection methods for structure-preserving model reduction}, JOURNAL = {Systems Control Lett.}, FJOURNAL = {Systems \& Control Letters}, VOLUME = {58}, YEAR = {2009}, NUMBER = {3}, PAGES = {225--232}, DOI = {10.1016/j.sysconle.2008.10.016}, URL = {http://dx.doi.org/10.1016/j.sysconle.2008.10.016}, } @INPROCEEDINGS{CBeattie_SGugercin_2012a, AUTHOR = {C. Beattie and S. 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Arnold}, FAUTHOR = {Beck, James V. and Arnold, Kenneth J.}, TITLE = {Parameter Estimation in Engineering and Science}, SERIES = {Wiley Series in Probability and Mathematical Statistics}, PUBLISHER = {John Wiley \& Sons, New York-London-Sydney}, YEAR = {1977}, } @article{ABeck_NGuttmann-Beck_2018a, author = {A. Beck and N. Guttmann-Beck}, fauthor = {Amir Beck and Nili Guttmann-Beck}, title = {{FOM} - a {MATLAB} toolbox of first-order methods for solving convex optimization problems}, journal = {Optimization Methods and Software}, volume = {0}, number = {0}, pages = {1-22}, year = {2018}, doi = {10.1080/10556788.2018.1437159}, URL = {https://doi.org/10.1080/10556788.2018.1437159}, } @ARTICLE{CLBeck_JDoyle_KGlover_1996a, author={C. L. Beck and J. Doyle and K. Glover}, title={Model reduction of multidimensional and uncertain systems}, journal={Automatic Control, IEEE Transactions on}, year={1996}, month={oct}, volume={41}, number={10}, pages={1466 -1477}, doi={10.1109/9.539427} } @article{JBeck_FNobile_LTamellini_RTempone_2011a, author = {J. Beck and F. Nobile and L. Tamellin and R. Tempone}, title = {Implementation of optimal {G}alerkin and Collocation approximations of {PDEs} with Random Coefficients}, DOI= "10.1051/proc/201133002", url= "http://dx.doi.org/10.1051/proc/201133002", journal = {ESAIM: Proceedings}, year = 2011, volume = 33, pages = "10-21", month = "October", } @article {ABeck_MTeboulle_2009a, AUTHOR = {A. Beck and M. Teboulle}, FAUTHOR = {Beck, Amir and Teboulle, Marc}, TITLE = {A fast iterative shrinkage-thresholding algorithm for linear inverse problems}, JOURNAL = {SIAM J. Imaging Sci.}, FJOURNAL = {SIAM Journal on Imaging Sciences}, VOLUME = {2}, YEAR = {2009}, NUMBER = {1}, PAGES = {183--202}, DOI = {10.1137/080716542}, URL = {https://doi.org/10.1137/080716542}, } @article {ABeck_MTeboulle_2009b, AUTHOR = {A. Beck and M. Teboulle}, FAUTHOR = {Beck, Amir and Teboulle, Marc}, TITLE = {Fast gradient-based algorithms for constrained total variation image denoising and deblurring problems}, JOURNAL = {IEEE Trans. Image Process.}, FJOURNAL = {IEEE Transactions on Image Processing}, VOLUME = {18}, YEAR = {2009}, NUMBER = {11}, PAGES = {2419--2434}, DOI = {10.1109/TIP.2009.2028250}, URL = {https://doi.org/10.1109/TIP.2009.2028250}, } @incollection {ABeck_MTeboulle_2010a, AUTHOR = {A. Beck and M. Teboulle}, FAUTHOR = {Beck, Amir and Teboulle, Marc}, TITLE = {Gradient-based algorithms with applications to signal-recovery problems}, EDITOR = {D. P. Palomar and Y. C. Eldar}, BOOKTITLE = {Convex optimization in signal processing and communications}, PAGES = {42--88}, PUBLISHER = {Cambridge Univ. Press, Cambridge}, YEAR = {2010}, URL = {https://doi.org/10.1017/CBO9780511804458.003}, DOI = {10.1017/CBO9780511804458.003} } @article {ABeck_MTeboulle_2012a, AUTHOR = {A. Beck and M. Teboulle}, FAUTHOR = {Beck, Amir and Teboulle, Marc}, TITLE = {Smoothing and first order methods: a unified framework}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {22}, YEAR = {2012}, NUMBER = {2}, PAGES = {557--580}, DOI = {10.1137/100818327}, URL = {https://doi.org/10.1137/100818327}, } @BOOK{EBBecker_GFCarey_JTOden_1981, author = {E. B. Becker and G. F. Carey and J. T. Oden}, title = {Finite Elements: An Introduction, Vol I}, publisher = {Prentice Hall }, address = {Englewoods Cliffs, New Jersey}, year = 1981 } @TECHREPORT{RBecker_2001a, author = {R. Becker}, title = {Adaptive Finite Elements for Optimal Control Problems}, institution = {Fakult{\"a}t f{\"u}r Mathematik}, address = {Universti{\"a}t Heidelberg}, year = {2001}, note = {Habilitationsschrift} } @ARTICLE{RBecker_2001b, author = {R. Becker}, title = {Mesh Adaptation for Stationary Flow Control}, journal = {J. Math. Fluid Mech.}, year = 2001, volume = {3}, pages = {317--341} } @ARTICLE{RBecker_2002a, AUTHOR = {R. Becker}, TITLE = {Mesh adaptation for {D}irichlet flow control via {N}itsche's method}, JOURNAL = {Comm. Numer. Methods Engrg.}, FJOURNAL = {Communications in Numerical Methods in Engineering with Biomedical Applications}, VOLUME = {18}, YEAR = {2002}, NUMBER = {9}, PAGES = {669--680}, DOI = {10.1002/cnm.529}, URL = {https://doi.org/10.1002/cnm.529}, } @article {RBecker_MBraack_2001a, AUTHOR = {R. Becker and M. Braack}, TITLE = {A finite element pressure gradient stabilization for the {S}tokes equations based on local projections}, JOURNAL = {Calcolo}, FJOURNAL = {Calcolo. A Quarterly on Numerical Analysis and Theory of Computation}, VOLUME = {38}, YEAR = {2001}, NUMBER = {4}, PAGES = {173--199} } @INCOLLECTION {RBecker_MBraack_RRannacher_2001a, AUTHOR = {R. Becker and M. Braack and R. Rannacher}, TITLE = {Adaptive finite element methods for flow problems}, BOOKTITLE = {Foundations of computational mathematics (Oxford, 1999)}, PAGES = {21--44}, PUBLISHER = {Cambridge Univ. Press}, ADDRESS = {Cambridge}, YEAR = {2001} } @incollection {RBecker_MBraack_DMeidner_RRannacher_BVexler_2007a, AUTHOR = {R. Becker and M. Braack and D. Meidner and R. Rannacher and B. Vexler}, TITLE = {Adaptive finite element methods for {PDE}-constrained optimal control problems}, EDITOR = {W. J{\"a}ger and R. Rannacher and J. Warnatz}, BOOKTITLE = {Reactive flows, diffusion and transport}, PAGES = {177--205}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {2007}, DOI = {10.1007/978-3-540-28396-6_8}, URL = {https://doi.org/10.1007/978-3-540-28396-6_8} } @incollection {RBecker_MBraack_RRannacher_TRichter_2007a, AUTHOR = {R. Becker and M. Braack and R. Rannacher and T. Richter}, TITLE = {Mesh and model adaptivity for flow problems}, EDITOR = {W. J{\"a}ger and R. Rannacher and J. Warnatz}, BOOKTITLE = {Reactive flows, diffusion and transport}, PAGES = {47--75}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {2007} } @incollection {RBecker_MBraack_TRichter_2007a, AUTHOR = {R. Becker and M. Braack and T. Richter}, TITLE = {Parallel Multigrid on Locally Refined Meshes}, EDITOR = {W. J{\"a}ger and R. Rannacher and J. Warnatz}, BOOKTITLE = {Reactive flows, diffusion and transport}, PAGES = {77--92}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {2007} } @article {RBecker_MBraack_BVexler_2004a, AUTHOR = {R. Becker and M. Braack and B. Vexler}, TITLE = {Numerical parameter estimation for chemical models in multidimensional reactive flows}, JOURNAL = {Combust. Theory Modelling}, VOLUME = {8}, YEAR = {2004}, PAGES = {6} } @article {RBecker_MBraack_BVexler_2005a, AUTHOR = {R. Becker and M. Braack and B. Vexler}, TITLE = {Parameter identification for chemical models in combustion problems}, JOURNAL = {Appl. Numer. Math.}, FJOURNAL = {Applied Numerical Mathematics. An IMACS Journal}, VOLUME = {54}, YEAR = {2005}, NUMBER = {3-4}, PAGES = {519--536} } @article {RBecker_PHansbo_MGLarson_2003a, AUTHOR = {R. Becker and P. Hansbo and M. G. Larson}, FAUTHOR = {Becker, Roland and Hansbo, Peter and Larson, Mats G.}, TITLE = {Energy norm a posteriori error estimation for discontinuous {G}alerkin methods}, JOURNAL = {Comput. Methods Appl. Mech. Engrg.}, FJOURNAL = {Computer Methods in Applied Mechanics and Engineering}, VOLUME = {192}, YEAR = {2003}, NUMBER = {5-6}, PAGES = {723--733}, DOI = {10.1016/S0045-7825(02)00593-5}, URL = {http://dx.doi.org/10.1016/S0045-7825(02)00593-5}, } @article {RBecker_PHansbo_RStenberg_2003a, AUTHOR = {R. Becker and P. Hansbo and R. Stenberg}, TITLE = {A finite element method for domain decomposition with non-matching grids}, JOURNAL = {M2AN Math. Model. Numer. Anal.}, FJOURNAL = {M2AN. Mathematical Modelling and Numerical Analysis}, VOLUME = {37}, YEAR = {2003}, NUMBER = {2}, PAGES = {209--225} } @ARTICLE {RBecker_VHeuveline_RRannacher_2002a, AUTHOR = {R. Becker and V. Heuveline and R. Rannacher}, TITLE = {An optimal control approach to adaptivity in computational fluid mechanics}, JOURNAL = {Internat. J. Numer. Methods Fluids}, VOLUME = {40}, YEAR = {2002}, NUMBER = {1-2}, PAGES = {105--120}, } @ARTICLE{RBecker_HKapp_RRannacher_2000a, author = {R. Becker and H. Kapp and R. Rannacher}, title = {Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concepts}, journal = {SIAM J. Control and Optimization}, year = 2000, pages = {113--132}, volume = 39 } @article {RBecker_DMeidner_BVexler_2007a, AUTHOR = {R. Becker and D. Meidner and B. Vexler}, TITLE = {Efficient numerical solution of parabolic optimization problems by finite element methods}, JOURNAL = {Optimization Methods and Software}, FJOURNAL = {Optimization Methods and Software}, VOLUME = {22}, YEAR = {2007}, NUMBER = {5}, PAGES = {813--833} } @article {RBecker_RRannacher_2001a, AUTHOR = {R. Becker and R. 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Zowe}, TITLE = {Optimization methods for truss geometry and topology design}, JOURNAL = {Structural Optimization}, FJOURNAL = {Structural and Multidisciplinary Optimization}, VOLUME = {7}, YEAR = {1994}, PAGES = {141--159} } @article {MPBendsoe_ARDiaz_1993a, AUTHOR = {M. P. Bends{\o}e and A. R. D\'iaz}, TITLE = {Optimization of material properties for improved frequency response}, JOURNAL = {Structural Optimization}, FJOURNAL = {Structural and Multidisciplinary Optimization}, VOLUME = {6}, YEAR = {1993}, PAGES = {268--270} } @article {MPBendsoe_ARDiaz_1994a, AUTHOR = {M. P. Bends{\o}e and A. R. D\'iaz}, TITLE = {Optimization of material properties for improved frequency response}, JOURNAL = {Structural Optimization}, FJOURNAL = {Structural and Multidisciplinary Optimization}, VOLUME = {7}, YEAR = {1994}, PAGES = {138--140} } @article{MPBendsoe_NKikuchi_1988a, author = {M. P. Bendsoe and N. Kikuchi}, fauthor = {Martin Philip Bendsoe and Noboru Kikuchi}, title = {Generating optimal topologies in structural design using a homogenization method}, journal = {Comput. Methods Appl. Mech. Eng.}, volume = {71}, number = {2}, year = {1988}, pages = {197--224} } @BOOK{MPBendsoe_OSigmund_2003, author = {M. P. Bends{\o}e and O. Sigmund}, title = {Topology Optimization. Theory, methods and Applications}, publisher = {Springer Verlag}, address = {Berlin, Heidelberg, New York}, year = 2003, url = {https://doi.org/10.1007/978-3-662-05086-6} } @article {MBenes_PKucera_2016a, AUTHOR = {M. Bene\v{s} and P. Ku\v{c}era}, FAUTHOR = {Bene\v{s}, Michal and Ku\v{c}era, Petr}, TITLE = {Solutions to the {N}avier-{S}tokes equations with mixed boundary conditions in two-dimensional bounded domains}, JOURNAL = {Math. Nachr.}, FJOURNAL = {Mathematische Nachrichten}, VOLUME = {289}, YEAR = {2016}, NUMBER = {2-3}, PAGES = {194--212}, DOI = {10.1002/mana.201400046}, URL = {https://doi.org/10.1002/mana.201400046}, } @ARTICLE{YBengio_PSimard_PFrasconi_1994a, author={Y. Bengio and P. Simard and P. Frasconi}, title={Learning long-term dependencies with gradient descent is difficult}, journal={IEEE Transactions on Neural Networks}, year={1994}, volume={5}, number={2}, pages={157-166}, doi={10.1109/72.279181}, url = {http://dx.doi.org/10.1109/72.279181}, month={Mar} } @inbook{TBengtsson_PBickel_BLi_2008a, fauthor = "Bengtsson, Thomas and Bickel, Peter and Li, Bo", author = "T. Bengtsson and P. Bickel and B. Li", title = "Curse-of-dimensionality revisited: {C}ollapse of the particle filter in very large scale systems", editor = "D. Nolan and T. Speed", booktitle = "Probability and Statistics: Essays in Honor of David A. Freedman", pages = "316--334", publisher = "Institute of Mathematical Statistics", address = "Beachwood, Ohio, USA", series = "Collections", volume = "Volume 2", year = "2008", doi = "10.1214/193940307000000518", url = "http://dx.doi.org/10.1214/193940307000000518" } @article {MBenichou_JMGauthier_GHentges_GRibiere_1977a, AUTHOR = {M. Benichou and J. M. Gauthier and G. Hentges and G. Ribi{\`e}re}, TITLE = {The efficient solution of large-scale linear programming problems---some algorithmic techniques and computational results}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {13}, YEAR = {1977}, NUMBER = {3}, PAGES = {280--322} } @TECHREPORT{DBennequin_MJGander_LHalpern_2004a, author = {D. Bennequin and M. J. Gander and L. Halpern}, title = {Optimized Schwarz Waveform Relaxation Methods for Convection Reaction Diffusion Problems}, institution = {LAGA, Institut Galilee, Universite Paris 13}, number = {2004-24}, year = {2004} } @article {PBenner_2006a, AUTHOR = {P. Benner}, FAUTHOR = {Benner, Peter}, TITLE = {Numerical linear algebra for model reduction in control and simulation}, JOURNAL = {GAMM-Mitt.}, FJOURNAL = {GAMM-Mitteilungen}, VOLUME = {29}, YEAR = {2006}, NUMBER = {2}, PAGES = {275--296}, DOI = {10.1002/gamm.201490034}, URL = {https://doi.org/10.1002/gamm.201490034}, } @incollection {PBenner_2010a, author = {P. Benner}, fauthor = {Benner, Peter}, title = {Advances in Balancing-Related Model Reduction for Circuit Simulation}, booktitle = {Scientific Computing in Electrical Engineering SCEE 2008}, series = {Mathematics in Industry}, editor = {J. Roos and L. R. J. Costa}, publisher = {Springer Berlin Heidelberg}, pages = {469-482}, volume = {14}, url = {http://dx.doi.org/10.1007/978-3-642-12294-1_58}, note = {10.1007/978-3-642-12294-1_58}, year = {2010} } @article {PBenner_TBreiten_2012a, AUTHOR = {P. Benner and T. Breiten}, FAUTHOR = {Benner, Peter and Breiten, Tobias}, TITLE = {Interpolation-based {$\scr H_2$}-model reduction of bilinear control systems}, JOURNAL = {SIAM J. Matrix Anal. Appl.}, FJOURNAL = {SIAM Journal on Matrix Analysis and Applications}, VOLUME = {33}, YEAR = {2012}, NUMBER = {3}, PAGES = {859--885}, DOI = {10.1137/110836742}, URL = {http://dx.doi.org/10.1137/110836742}, } @article {PBenner_TBreiten_2015a, AUTHOR = {P. Benner and T. Breiten}, FAUTHOR = {Benner, Peter and Breiten, Tobias}, TITLE = {Two-sided projection methods for nonlinear model order reduction}, JOURNAL = {SIAM J. Sci. Comput.}, FJOURNAL = {SIAM Journal on Scientific Computing}, VOLUME = {37}, YEAR = {2015}, NUMBER = {2}, PAGES = {B239--B260}, DOI = {10.1137/14097255X}, URL = {http://dx.doi.org/10.1137/14097255X}, } @INPROCEEDINGS{PBenner_TBreiten_2017a, AUTHOR = {P. Benner and T. Breiten}, FAUTHOR = {Peter Benner and Tobias Breiten}, title = {Chapter 6: Model Order Reduction Based on System Balancing}, editor = {P. Benner and A. Cohen and M. Ohlberger and K. Willcox}, booktitle = {Model Reduction and Approximation: {T}heory and Algorithms}, series = {Computational Science and Engineering}, publisher = {SIAM}, address = {Philadelphia}, year = {2017}, pages = {261-295}, doi = {10.1137/1.9781611974829.ch6}, URL = {https://doi.org/10.1137/1.9781611974829.ch6}, } @ARTICLE{PBenner_RByers_1998a, author={P. Benner and R. Byers}, title={An exact line search method for solving generalized continuous-time algebraic {R}iccati equations}, journal={Automatic Control, IEEE Transactions on}, year={1998}, month={Jan}, volume={43}, number={1}, pages={101-107}, doi={10.1109/9.654908} } @article{PBenner_RByers_RMayo_ESQuintanaOrti_VHernandez_2002, author = {P. Benner and R. Byers and R. Mayo and E. S. Quintana-Ort{\'\i} and V. Hern{\'a}ndez}, title = {Parallel Algorithms for {LQ} Optimal Control of Discrete-Time Periodic Linear Systems}, journal = {Journal of Parallel and Distributed Computing}, volume = {62}, number = {2}, pages = {306--325}, year = {2002}, url = {citeseer.nj.nec.com/benner01parallel.html} } @BOOK{PBenner_ACohen_MOhlberger_KWillcox_2017a, editor = {P. Benner and A. Cohen and M. Ohlberger and K. Willcox}, title = {Model Reduction and Approximation: {T}heory and Algorithms}, series = {Computational Science and Engineering}, publisher = {SIAM}, address = {Philadelphia}, year = {2017}, URL = {https://doi.org/10.1137/1.9781611974829}, DOI = {10.1137/1.9781611974829} } @TECHREPORT{PBenner_SDolgov_AOnwunta_MStoll_2015a, author = {P. Benner and S. Dolgov and A. Onwunta and M. Stoll}, fauthor = {Peter Benner and Sergey Dolgov and Akwum Onwunta and Martin Stoll}, title = {Low-rank solvers for unsteady {S}tokes-{B}rinkman optimal control problem with random data}, number = {MPIMD/15-10}, month = jul, year = 2015, institution = {Max Planck Institute Magdeburg}, note = {Appeared as \cite{PBenner_SDolgov_AOnwunta_MStoll_2016a}} } @article {PBenner_SDolgov_AOnwunta_MStoll_2016a, AUTHOR = {P. Benner and S. Dolgov and A. Onwunta and M. Stoll}, FAUTHOR = {Benner, Peter and Dolgov, Sergey and Onwunta, Akwum and Stoll, Martin}, TITLE = {Low-rank solvers for unsteady {S}tokes--{B}rinkman optimal control problem with random data}, JOURNAL = {Comput. Methods Appl. Mech. Engrg.}, FJOURNAL = {Computer Methods in Applied Mechanics and Engineering}, VOLUME = {304}, YEAR = {2016}, PAGES = {26--54}, DOI = {10.1016/j.cma.2016.02.004}, URL = {http://dx.doi.org/10.1016/j.cma.2016.02.004}, } @article {PBenner_HFassbender_2011a, AUTHOR = {P. Benner and H. Fa{\ss}bender}, FAUTHOR = {Benner, Peter and Fa{\ss}bender, Heike}, TITLE = {On the numerical solution of large-scale sparse discrete-time {R}iccati equations}, JOURNAL = {Adv. Comput. Math.}, FJOURNAL = {Advances in Computational Mathematics}, VOLUME = {35}, YEAR = {2011}, NUMBER = {2-4}, PAGES = {119--147}, DOI = {10.1007/s10444-011-9174-7}, URL = {http://dx.doi.org/10.1007/s10444-011-9174-7}, } @INCOLLECTION {PBenner_HFassbender_2013a, AUTHOR = {P. Benner and H. Fa{\ss}bender}, FAUTHOR = {Benner, Peter and Fa{\ss}bender, Heike}, TITLE = {Model Order Reduction: Techniques and Tools}, EDITOR = {J. Baillieul and T. Samad}, BOOKTITLE = {Encyclopedia of Systems and Control}, PAGES = {1--10}, YEAR = {2013}, PUBLISHER = {Springer London}, DOI = {10.1007/978-1-4471-5102-9_142-1}, URL = {http://dx.doi.org/10.1007/978-1-4471-5102-9_142-1} } @INCOLLECTION{PBenner_LFeng_2021a, AUTHOR = {P. Benner and L. Feng}, FAUTHOR = {Peter Benner and Lihong Feng}, TITLE = {Model order reduction based on moment-matching}, EDITOR = {P. Benner and S. Grivet-Talocia and A. Quarteroni and G. Rozza and W. Schilders and L. M. Silveira}, FEDITOR = {Peter Benner and Stefano Grivet-Talocia and Alfio Quarteroni and Gianluigi Rozza and Wil Schilders and Luis Miguel Silveira}, BOOKTITLE = {Model Order Reduction. {V}olume 1: System- and Data-Driven Methods and Algorithms}, PUBLISHER = {Walter de Gruyter \& Co., Berlin}, YEAR = {2021}, PAGES = {57--96}, DOI = {10.1515/9783110498967-003}, URL = {https://doi.org/10.1515/9783110498967-003}, } @article {PBenner_RWFreund_DCSorensen_AVarga_2006a, AUTHOR = {P. Benner and R. W. Freund and D. C. Sorensen and A. Varga}, FAUTHOR = {Benner, Peter and Freund, Roland W. and Sorensen, Danny C. and Varga, Andras}, TITLE = {Preface. {S}pecial issue on: ``{O}rder reduction of large-scale systems''}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {415}, YEAR = {2006}, NUMBER = {2-3}, PAGES = {231--234}, DOI = {10.1016/j.laa.2006.01.018}, URL = {http://dx.doi.org/10.1016/j.laa.2006.01.018}, } @ARTICLE{PBenner_PGoyal_2017a, AUTHOR = {P. Benner and P. Goyal}, FAUTHOR = {Peter Benner and Pawan Goyal}, TITLE = {An Iterative Model Reduction Scheme for Quadratic-Bilinear Descriptor Systems with an Application to {N}avier-{S}tokes Equations}, journal = {arXiv:1705.00934v1}, year = 2017, NOTE = {appeared as \cite{PBenner_PGoyal_2018a}} } @ARTICLE{PBenner_PGoyal_2017b, AUTHOR = {P. Benner and P. Goyal}, FAUTHOR = {Peter Benner and Pawan Goyal}, TITLE = {Balanced Truncation Model Order Reduction For Quadratic-Bilinear Control Systems}, journal = {arXiv:1705.00160v1}, year = 2017, DOI = {10.48550/arXiv.1705.00160}, URL = {https://doi.org/10.48550/arXiv.1705.00160} } @INCOLLECTION {PBenner_PGoyal_2018a, AUTHOR = {P. Benner and P. Goyal}, FAUTHOR = {Peter Benner and Pawan Goyal}, TITLE = {An Iterative Model Reduction Scheme for Quadratic-Bilinear Descriptor Systems with an Application to {N}avier-{S}tokes Equations}, editor = {W. Keiper and A. Milde and S. Volkwein}, booktitle = {Reduced-Order Modeling ({ROM}) for Simulation and Optimization}, pages = {1--19}, year = {2018}, publisher = {{S}pringer {V}erlag}, doi = {10.1007/978-3-319-75319-5_1}, url = {https://doi.org/10.1007/978-3-319-75319-5_1} } @ARTICLE{PBenner_PGoyal_2019a, AUTHOR = {P. Benner and P. Goyal}, FAUTHOR = {Benner, Peter and Goyal, Pawan}, title = {Interpolation-Based Model Order Reduction for Polynomial Parametric Systems}, journal = {arXiv:1904.11891v1}, year = 2019, note = {appeared as \cite{PBenner_PGoyal_2021a}} } @article {PBenner_PGoyal_2021a, AUTHOR = {P. Benner and P. Goyal}, FAUTHOR = {Benner, Peter and Goyal, Pawan}, TITLE = {Interpolation-based model order reduction for polynomial systems}, JOURNAL = {SIAM J. Sci. Comput.}, FJOURNAL = {SIAM Journal on Scientific Computing}, VOLUME = {43}, YEAR = {2021}, NUMBER = {1}, PAGES = {A84--A108}, DOI = {10.1137/19M1259171}, URL = {https://doi.org/10.1137/19M1259171}, } @ARTICLE{PBenner_PGoyal_IPDuff_2022a, author = {P. Benner and P. Goyal and I. P. Duff}, fauthor = {Benner, Peter and Goyal, Pawan and Duff, Igor Pontes}, title = {Gramians, Energy Functionals, and Balanced Truncation for Linear Dynamical Systems With Quadratic Outputs}, journal = {IEEE Transactions on Automatic Control}, year = {2022}, volume = {67}, number = {2}, pages = {886-893}, doi = {10.1109/TAC.2021.3086319}, url = {https://doi.org/10.1109/TAC.2021.3086319} } @article {PBenner_PGoyal_SGugercin_2018a, AUTHOR = {P. Benner and P. Goyal and S. Gugercin}, FAUTHOR = {Benner, Peter and Goyal, Pawan and Gugercin, Serkan}, TITLE = {{${\mathcal H}_2$}-{Q}uasi-{O}ptimal {M}odel {O}rder {R}eduction for {Q}uadratic-{B}ilinear {C}ontrol {S}ystems}, JOURNAL = {SIAM J. Matrix Anal. Appl.}, FJOURNAL = {SIAM Journal on Matrix Analysis and Applications}, VOLUME = {39}, YEAR = {2018}, NUMBER = {2}, PAGES = {983--1032}, DOI = {10.1137/16M1098280}, URL = {https://doi.org/10.1137/16M1098280}, } @ARTICLE{PBenner_PGoyal_JHeiland_IPDuff_2020a, AUTHOR = {P. Benner and P. Goyal and J. Heiland and I. P. Duff}, FAUTHOR = {Peter Benner and Pawan Goyal and Jan Heiland and Igor Pontes Duff}, title = {Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows}, journal = {arXiv:2010.06701v2}, year = 2020, url = {https://arxiv.org/abs/2010.06701}, note = {appeared as \cite{PBenner_PGoyal_JHeiland_IPDuff_2022a}} } @article {PBenner_PGoyal_JHeiland_IPDuff_2022a, AUTHOR = {P. Benner and P. Goyal and J. Heiland and I. P. Duff}, FAUTHOR = {Benner, Peter and Goyal, Pawan and Heiland, Jan and Pontes Duff, Igor}, TITLE = {Operator inference and physics-informed learning of low-dimensional models for incompressible flows}, JOURNAL = {Electron. Trans. Numer. Anal.}, FJOURNAL = {Electronic Transactions on Numerical Analysis}, VOLUME = {56}, YEAR = {2022}, PAGES = {28--51}, MRCLASS = {76D05 (37N10 65F22 68T05)}, MRNUMBER = {4355393}, DOI = {10.1553/etna\_vol56s28}, URL = {https://doi.org/10.1553/etna_vol56s28}, } @ARTICLE{PBenner_PGoyal_BKramer_BPeherstorfer_KWillcox_2020a, AUTHOR = {P. Benner and P. Goyal and B. Kramer and B. Peherstorfer and K. Willcox}, FAUTHOR = {Peter Benner and Pawan Goyal and Boris Kramer and Benjamin Peherstorfer and Karen Willcox}, TITLE = {Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms}, JOURNAL = {Comput. Methods Appl. Mech. Engrg.}, FJOURNAL = {Computer Methods in Applied Mechanics and Engineering}, VOLUME = {372}, YEAR = {2020}, PAGES = {113433, 17}, DOI = {10.1016/j.cma.2020.113433}, URL = {https://doi.org/10.1016/j.cma.2020.113433}, } @BOOK{PBenner_SGrivet-Talocia_AQuarteroni_GRozza_WSchilders_LMSilveira_2021a, EDITOR = {P. Benner and S. Grivet-Talocia and A. Quarteroni and G. Rozza and W. Schilders and L. M. Silveira}, FEDITOR = {Peter Benner and Stefano Grivet-Talocia and Alfio Quarteroni and Gianluigi Rozza and Wil Schilders and Luis Miguel Silveira}, TITLE = {Model Order Reduction. {V}olume 1: System- and Data-Driven Methods and Algorithms}, PUBLISHER = {Walter de Gruyter \& Co., Berlin}, YEAR = {2021}, DOI = {10.1515/9783110498967}, URL = {https://doi.org/10.1515/9783110498967} } @BOOK{PBenner_SGrivet-Talocia_AQuarteroni_GRozza_WSchilders_LMSilveira_2021b, EDITOR = {P. Benner and S. Grivet-Talocia and A. Quarteroni and G. Rozza and W. Schilders and L. M. Silveira}, FEDITOR = {Peter Benner and Stefano Grivet-Talocia and Alfio Quarteroni and Gianluigi Rozza and Wil Schilders and Luis Miguel Silveira}, TITLE = {Model Order Reduction. {V}olume 2: Snapshot-Based Methods and Algorithms}, PUBLISHER = {Walter de Gruyter \& Co., Berlin}, YEAR = {2021}, DOI = {10.1515/9783110671490}, URL = {https://doi.org/10.1515/9783110671490}, } @BOOK{PBenner_SGrivet-Talocia_AQuarteroni_GRozza_WSchilders_LMSilveira_2021c, EDITOR = {P. Benner and S. Grivet-Talocia and A. Quarteroni and G. Rozza and W. Schilders and L. M. Silveira}, FEDITOR = {Peter Benner and Stefano Grivet-Talocia and Alfio Quarteroni and Gianluigi Rozza and Wil Schilders and Luis Miguel Silveira}, TITLE = {Model Order Reduction. {V}olume 3: Applications}, PUBLISHER = {Walter de Gruyter \& Co., Berlin}, YEAR = {2021}, DOI = {10.1515/9783110499001}, URL = {https://doi.org/10.1515/9783110499001} } @article {PBenner_SGugercin_SWRWerner_2021a, AUTHOR = {P. Benner and S. Gugercin and S. W. R. Werner}, FAUTHOR = {Benner, Peter and Gugercin, Serkan and Werner, Steffen W. R.}, TITLE = {Structure-preserving interpolation for model reduction of parametric bilinear systems}, JOURNAL = {Automatica J. IFAC}, FJOURNAL = {Automatica. A Journal of IFAC, the International Federation of Automatic Control}, VOLUME = {132}, YEAR = {2021}, PAGES = {Paper No. 109799, 9}, DOI = {10.1016/j.automatica.2021.109799}, URL = {https://doi.org/10.1016/j.automatica.2021.109799}, } @article {PBenner_SGugercin_SWRWerner_2021b, AUTHOR = {P. Benner and S. Gugercin and S. W. R. Werner}, FAUTHOR = {Benner, Peter and Gugercin, Serkan and Werner, Steffen W. R.}, TITLE = {Structure-preserving interpolation of bilinear control systems}, JOURNAL = {Adv. Comput. Math.}, FJOURNAL = {Advances in Computational Mathematics}, VOLUME = {47}, YEAR = {2021}, NUMBER = {3}, PAGES = {Paper No. 43, 38}, DOI = {10.1007/s10444-021-09863-w}, URL = {https://doi.org/10.1007/s10444-021-09863-w}, } @article {PBenner_SGugercin_KWillcox_2015a, AUTHOR = {P. Benner and S. Gugercin and K. Willcox}, FAUTHOR = {Benner, Peter and Gugercin, Serkan and Willcox, Karen}, TITLE = {A {S}urvey of {P}rojection-{B}ased {M}odel {R}eduction {M}ethods for {P}arametric {D}ynamical {S}ystems}, JOURNAL = {SIAM Rev.}, FJOURNAL = {SIAM Review}, VOLUME = {57}, YEAR = {2015}, NUMBER = {4}, PAGES = {483--531}, DOI = {10.1137/130932715}, URL = {http://dx.doi.org/10.1137/130932715}, } @article{PBenner_SGrundel_2015a, author = "P. Benner and S. Grundel", fauthor = "Peter Benner and Sara Grundel", title = "Model order reduction for a family of linear systems with applications in parametric and uncertain systems ", journal = "Applied Mathematics Letters ", volume = "39", number = "0", pages = "1 - 6", year = "2015", doi = "10.1016/j.aml.2014.08.002", url = "http://dx.doi.org/10.1016/j.aml.2014.08.002" } @ARTICLE{PBenner_JHeiland_2015a, author = {P. Benner and J. Heiland}, title = {Time-dependent Dirichlet conditions in finite element discretizations}, journal = {ScienceOpen Research}, year = 2015, url = {http://dx.doi.org/10.14293/S2199-1006.1.SOR-MATH.AV2JW3.v1}, doi = {10.14293/S2199-1006.1.SOR-MATH.AV2JW3.v1} } @TECHREPORT{PBenner_MHeinkenschloss_JSaak_HKWeichelt_2015a, author = {P. Benner and M. Heinkenschloss and J. Saak and H. K. Weichelt}, fauthor = {Peter Benner and Matthias Heinkenschloss and Jens Saak and Heiko K. Weichelt}, title = {Inexact low-rank {N}ewton-{ADI} method for large-scale algebraic {R}iccati equations}, number = {MPIMD/15-06}, month = {May}, year = 2015, institution = {Max Planck Institute Magdeburg}, note = {appeared as \cite{PBenner_MHeinkenschloss_JSaak_HKWeichelt_2016a}}, } @article {PBenner_MHeinkenschloss_JSaak_HKWeichelt_2016a, AUTHOR = {P. Benner and M. Heinkenschloss and J. Saak and H. K. Weichelt}, FAUTHOR = {Benner, Peter and Heinkenschloss, Matthias and Saak, Jens and Weichelt, Heiko K.}, TITLE = {An inexact low-rank {N}ewton-{ADI} method for large-scale algebraic {R}iccati equations}, JOURNAL = {Appl. Numer. Math.}, FJOURNAL = {Applied Numerical Mathematics. An IMACS Journal}, VOLUME = {108}, YEAR = {2016}, PAGES = {125-142}, DOI = {10.1016/j.apnum.2016.05.006}, URL = {http://dx.doi.org/10.1016/j.apnum.2016.05.006} } @article {PBenner_MHeinkenschloss_JSaak_HKWeichelt_2018a, author = {P. Benner and M. Heinkenschloss and J. Saak and H. K. Weichelt}, fauthor = {Peter Benner and Matthias Heinkenschloss and Jens Saak and Heiko K. Weichelt}, title = {Efficient Solution of Large-Scale Algebraic {R}iccati Equations Associated with Index-2 {DAE}s via the Inexact Low-Rank {N}ewton-{ADI} Method}, JOURNAL = {arXiv:1804.01410v1}, YEAR = {2018}, MONTH = {April}, URL = {http://arxiv.org/abs/1804.01410v1}, } @article {PBenner_MHeinkenschloss_JSaak_HKWeichelt_2020a, AUTHOR = {P. Benner and M. Heinkenschloss and J. Saak and H. K. Weichelt}, FAUTHOR = {Benner, Peter and Heinkenschloss, Matthias and Saak, Jens and Weichelt, Heiko K.}, TITLE = {Efficient Solution of Large-Scale Algebraic {R}iccati Equations Associated with Index-2 {DAE}s via the Inexact Low-Rank {N}ewton-{ADI} Method}, JOURNAL = {Appl. Numer. Math.}, FJOURNAL = {Applied Numerical Mathematics. An IMACS Journal}, VOLUME = {152}, YEAR = {2020}, PAGES = {338 - 354}, DOI = {10.1016/j.apnum.2019.11.016}, URL = {https://doi.org/10.1016/j.apnum.2019.11.016} } @article {PBenner_VHernandez_APastor_2003a, AUTHOR = {P. Benner and V. Hern{\'a}ndez and A. Pastor}, FAUTHOR = {Benner, Peter and Hern{\'a}ndez, Vicente and Pastor, Antonio}, TITLE = {The {K}leinman iteration for nonstabilizable systems}, JOURNAL = {Math. Control Signals Systems}, FJOURNAL = {Mathematics of Control, Signals, and Systems}, VOLUME = {16}, YEAR = {2003}, NUMBER = {1}, PAGES = {76--93}, DOI = {10.1007/s00498-003-0130-z}, URL = {http://dx.doi.org/10.1007/s00498-003-0130-z} } @BOOK{PBenner_MHinze_EJWterMaten_2011a, editor = {P. Benner and M. Hinze and E. J. W. {ter Maten}}, title = {Model Reduction for Circuit Simulation}, publisher= {Springer-Verlag}, address = {Heidelberg}, series = {Lecture Notes in Electrical Engineering, Vol.~74}, year = {2011}, DOI = {10.1007/978-94-007-0089-5}, URL = {http://dx.doi.org/10.1007/978-94-007-0089-5} } @incollection {PBenner_MKohler_JSaak_2021a, AUTHOR = {P. Benner and M. K\"{o}hler and J. Saak}, FAUTHOR = {Benner, Peter and K\"{o}hler, Martin and Saak, Jens}, TITLE = {Matrix equations, sparse solvers: {M-M.E.S.S.}-2.0.1 -- philosophy, features, and application for (parametric) model order reduction}, EDITOR = {P. Benner and T. Breiten and H. Fa{\ss}bender and M. Hinze and T. Stykel and R. Zimmermann}, BOOKTITLE = {Model reduction of complex dynamical systems}, SERIES = {Internat. Ser. Numer. Math.}, VOLUME = {171}, PAGES = {369--392}, PUBLISHER = {Birkh\"{a}user/Springer, Cham}, YEAR = {2021}, DOI = {10.1007/978-3-030-72983-7\_18}, URL = {https://doi.org/10.1007/978-3-030-72983-7_18}, } @TECHREPORT{PBenner_PKurschner_JSaak_2011a, AUTHOR = {P. Benner and P. K{\"u}rschner and J. Saak}, FAUTHOR = {Benner, Peter and K{\"u}rschner, Patrick and Saak, Jens}, TITLE = {Efficient handling of complex shift parameters in the low-rank {C}holesky factor {ADI} method}, number = {MPIMD/11-08}, month = {October}, year = 2011, institution = {Max Planck Institute Magdeburg}, url = {http://www.mpi-magdeburg.mpg.de/preprints/2011/08 (accessed April 1, 2014)}, note = {Appeared as \cite{PBenner_PKurschner_JSaak_2013a}}, } @TECHREPORT{PBenner_PKurschner_JSaak_2012a, AUTHOR = {P. Benner and P. K{\"u}rschner and J. Saak}, FAUTHOR = {Benner, Peter and K{\"u}rschner, Patrick and Saak, Jens}, TITLE = {An improved numerical method for balanced truncation for symmetric second-order systems}, number = {MPIMD/12-20}, month = {November}, year = 2012, institution = {Max Planck Institute Magdeburg}, url = {http://www.mpi-magdeburg.mpg.de/preprints/2012/20 (accessed April 1, 2014)}, note = {Appeared as \cite{PBenner_PKurschner_JSaak_2013b}}, } @article {PBenner_PKurschner_JSaak_2013a, AUTHOR = {P. Benner and P. K{\"u}rschner and J. Saak}, FAUTHOR = {Benner, Peter and K{\"u}rschner, Patrick and Saak, Jens}, TITLE = {Efficient handling of complex shift parameters in the low-rank {C}holesky factor {ADI} method}, JOURNAL = {Numer. Algorithms}, FJOURNAL = {Numerical Algorithms}, VOLUME = {62}, YEAR = {2013}, NUMBER = {2}, PAGES = {225--251}, DOI = {10.1007/s11075-012-9569-7}, URL = {http://dx.doi.org/10.1007/s11075-012-9569-7}, } @article {PBenner_PKurschner_JSaak_2013b, AUTHOR = {P. Benner and P. K{\"u}rschner and J. Saak}, FAUTHOR = {Benner, Peter and K{\"u}rschner, Patrick and Saak, Jens}, TITLE = {An improved numerical method for balanced truncation for symmetric second-order systems}, JOURNAL = {Math. Comput. Model. Dyn. Syst.}, FJOURNAL = {Mathematical and Computer Modelling of Dynamical Systems. Methods, Tools and Applications in Engineering and Related Sciences}, VOLUME = {19}, YEAR = {2013}, NUMBER = {6}, PAGES = {593--615}, DOI = {10.1080/13873954.2013.794363}, URL = {http://dx.doi.org/10.1080/13873954.2013.794363}, } @article {PBenner_PKurschner_JSaak_2013c, AUTHOR = {P. Benner and P. K{\"u}rschner and J. Saak}, FAUTHOR = {Benner, Peter and K{\"u}rschner, Patrick and Saak, Jens}, title = {A Reformulated Low-Rank {ADI} Iteration with Explicit Residual Factors}, journal = {PAMM}, volume = {13}, number = {1}, publisher = {WILEY-VCH Verlag}, url = {http://dx.doi.org/10.1002/pamm.201310273}, doi = {10.1002/pamm.201310273}, pages = {585--586}, year = {2013}, } @article {PBenner_PKurschner_JSaak_2016a, AUTHOR = {P. Benner and P. K\"urschner and J. Saak}, FAUTHOR = {Benner, Peter and K\"urschner, Patrick and Saak, Jens}, TITLE = {Frequency-limited balanced truncation with low-rank approximations}, JOURNAL = {SIAM J. Sci. Comput.}, FJOURNAL = {SIAM Journal on Scientific Computing}, VOLUME = {38}, YEAR = {2016}, NUMBER = {1}, PAGES = {A471--A499}, DOI = {10.1137/15M1030911}, URL = {http://dx.doi.org/10.1137/15M1030911}, } @article {PBenner_JRLi_TPenzl_2008a, AUTHOR = {P. Benner and J.-R. Li and T. Penzl}, FAUTHOR = {Benner, Peter and Li, Jing-Rebecca and Penzl, Thilo}, TITLE = {Numerical solution of large-scale {L}yapunov equations, {R}iccati equations, and linear-quadratic optimal control problems}, JOURNAL = {Numer. Linear Algebra Appl.}, FJOURNAL = {Numerical Linear Algebra with Applications}, VOLUME = {15}, YEAR = {2008}, NUMBER = {9}, PAGES = {755--777}, DOI = {10.1002/nla.622}, URL = {http://dx.doi.org/10.1002/nla.622}, } @BOOK{PBenner_VMehrmann_DCSorensen_2005a, editor = {P. Benner and V. Mehrmann and D. C. Sorensen}, title = {Dimension Reduction of Large-Scale Systems}, publisher= {Springer-Verlag}, address = {Heidelberg}, series = {Lecture Notes in Computational Science and Engineering, Vol.~45}, year = {2005}, doi = {10.1007/3-540-27909-1}, url = {http://dx.doi.org/10.1007/3-540-27909-1} } @INPROCEEDINGS{PBenner_HMena_2004a, author = {P. Benner and H. Mena}, title = {{BDF} Methods for Large-Scale Differential {R}iccati Equations}, editor = {B. De Moor and B. Motmans and J. Willems and P. Van Dooren and V. Blondel}, booktitle= {Proceedings Sixteenth International Symposium on: Mathematical Theory of Network and Systems, MTNS 2004, Leuven, Belgium, July 5-9, 2004}, year = {2004} } @TECHREPORT{PBenner_AOnwunta_MStoll_2013a, author = {P. Benner and A. Onwunta and M. Stoll}, fauthor = {Peter Benner and Akwum Onwunta and Martin Stoll}, title = {Low Rank Solution of Unsteady Diffusion Equations with Stochastic Coefficients}, number = {MPIMD/13-13}, month = {August}, year = 2013, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Appeared as \cite{PBenner_AOnwunta_MStoll_2015b}} } @TECHREPORT{PBenner_AOnwunta_MStoll_2015a, author = {P. Benner and A. Onwunta and M. Stoll}, fauthor = {Peter Benner and Akwum Onwunta and Martin Stoll}, title = {Block-diagonal preconditioning for optimal control problems constrained by {PDEs} with uncertain inputs}, number = {MPIMD/15-05}, month = {April}, year = 2015, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Appeared as \citePBenner_AOnwunta_MStoll_2016a}} } @article {PBenner_AOnwunta_MStoll_2015b, FAUTHOR = {Benner, Peter and Onwunta, Akwum and Stoll, Martin}, AUTHOR = {P. Benner and A. Onwunta and M. Stoll}, TITLE = {Low-rank solution of unsteady diffusion equations with stochastic coefficients}, JOURNAL = {SIAM/ASA J. Uncertain. Quantif.}, FJOURNAL = {SIAM/ASA Journal on Uncertainty Quantification}, VOLUME = {3}, YEAR = {2015}, NUMBER = {1}, PAGES = {622--649}, DOI = {10.1137/130937251}, URL = {http://dx.doi.org/10.1137/130937251}, } @article {PBenner_AOnwunta_MStoll_2016a, FAUTHOR = {Benner, Peter and Onwunta, Akwum and Stoll, Martin}, AUTHOR = {P. Benner and A. Onwunta and M. Stoll}, AUTHOR = {Benner, Peter and Onwunta, Akwum and Stoll, Martin}, TITLE = {Block-diagonal preconditioning for optimal control problems constrained by {PDE}s with uncertain inputs}, JOURNAL = {SIAM J. Matrix Anal. Appl.}, FJOURNAL = {SIAM Journal on Matrix Analysis and Applications}, VOLUME = {37}, YEAR = {2016}, NUMBER = {2}, PAGES = {491--518}, DOI = {10.1137/15M1018502}, URL = {http://dx.doi.org/10.1137/15M1018502}, } @INPROCEEDINGS{PBenner_JSaak_2005a, AUTHOR = {P. Benner and J. Saak}, FAUTHOR = {Peter Benner and Jens Saak}, title = {A Semi-Discretized Heat Transfer Model for Optimal Cooling of Steel Profiles}, editor = {P. Benner and V. Mehrmann and D. C. Sorensen}, booktitle= {Dimension Reduction of Large-Scale Systems}, publisher= {Springer-Verlag}, address = {Heidelberg}, series = {Lecture Notes in Computational Science and Engineering, Vol.~45}, year = {2005}, pages = {353--356} } @article {PBenner_JSaak_2013a, author = {P. Benner and J. Saak}, fauthor = {Benner, Peter and Saak, Jens}, title = {Numerical solution of large and sparse continuous time algebraic matrix {R}iccati and {L}yapunov equations: a state of the art survey}, journal = {GAMM-Mitteilungen}, volume = {36}, number = {1}, url = {http://dx.doi.org/10.1002/gamm.201310003}, doi = {10.1002/gamm.201310003}, pages = {32--52}, year = {2013}, } @article {PBenner_JSaak_MStoll_HKWeichelt_2013a, AUTHOR = {P. Benner and J. Saak and M. Stoll and H. K. Weichelt}, FAUTHOR = {Benner, Peter and Saak, Jens and Stoll, Martin and Weichelt, Heiko K.}, TITLE = {Efficient solution of large-scale saddle point systems arising in {R}iccati-based boundary feedback stabilization of incompressible {S}tokes flow}, JOURNAL = {SIAM J. Sci. Comput.}, FJOURNAL = {SIAM Journal on Scientific Computing}, VOLUME = {35}, YEAR = {2013}, NUMBER = {5}, PAGES = {S150--S170}, DOI = {10.1137/120881312}, URL = {https://doi.org/10.1137/120881312}, } @incollection {PBenner_ESachs_SVolkwein_2014a, AUTHOR = {P. Benner and E. Sachs and S. Volkwein}, FAUTHOR = {Benner, Peter and Sachs, Ekkehard and Volkwein, Stefan}, TITLE = {Model order reduction for {PDE} constrained optimization}, EDITOR = {G. Leugering and P. Benner and S. Engell and A. Griewank and H. Harbrecht and M. Hinze and R. Rannacher and S. Ulbrich}, BOOKTITLE = {Trends in {PDE} constrained optimization}, SERIES = {Internat. Ser. Numer. Math.}, VOLUME = {165}, PAGES = {303--326}, PUBLISHER = {Birkh\"auser/Springer, Cham}, YEAR = {2014}, DOI = {10.1007/978-3-319-05083-6\_19}, URL = {http://dx.doi.org/10.1007/978-3-319-05083-6\_19}, } @INPROCEEDINGS{PBenner_ASchneider_2010a, author = {P. Benner and A. Schneider}, title = {Balanced Truncation Model Order Reduction for {LTI} Systems with many Inputs or Outputs}, editor = {Andras Edelmayer}, booktitle= {Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010), 5-9 July, 2010, Budapest, Hungary}, pages = {1971-1974}, year = {2010} } @TECHREPORT{PBenner_JSchneider_2013a, author = {P. Benner and J. Schneider}, fauthor = {Peter Benner and Judith Schneider}, title = {Uncertainty Quantification for {M}axwell's Equations Using Stochastic Collocation and Model Order Reduction}, number = {MPIMD/13-19}, month = {October}, year = 2013, institution = {Max Planck Institute Magdeburg}, type = {Preprint}, note = {Available from {http://www.mpi-magdeburg.mpg.de/preprints/}}, } @article {PBenner_VISokolov_2006a, AUTHOR = {P. Benner and V. I. Sokolov}, FAUTHOR = {Benner, Peter and Sokolov, Viatcheslav I.}, TITLE = {Partial realization of descriptor systems}, JOURNAL = {Systems Control Lett.}, FJOURNAL = {Systems \& Control Letters}, VOLUME = {55}, YEAR = {2006}, NUMBER = {11}, PAGES = {929--938} } @article {PBenner_TStykel_2014a, AUTHOR = {P. Benner and T. Stykel}, FAUTHOR = {Benner, Peter and Stykel, Tatjana}, TITLE = {Numerical solution of projected algebraic {R}iccati equations}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {52}, YEAR = {2014}, NUMBER = {2}, PAGES = {581--600}, DOI = {10.1137/130923993}, URL = {http://dx.doi.org/10.1137/130923993}, } @book {AFBennett_2002a, AUTHOR = {Bennett, A. F.}, FAUTHOR = {Bennett, Andrew F.}, TITLE = {Inverse modeling of the ocean and atmosphere}, PUBLISHER = {Cambridge University Press}, ADDRESS = {Cambridge}, YEAR = {2002} } @INPROCEEDINGS{JKBennighof_MFKaplan_MBMuller_1999a, author = {J. K. Bennighof and M. F. Kaplan and M. B. Muller}, title = "{Reducing NVH Analysis Burden Using Automated Multi-level Substructuring \#164}", booktitle = {Proc. SPIE Vol. 3727, Proceedings of the 17th International Modal Analysis Conference., p.372}, year = 1999, series = {Presented at the Society of Photo-Optical Instrumentation Engineers (SPIE) Conference}, volume = 3727, pages = {372-+}, } @article {JKBennighof_RBLehoucq_2004a, AUTHOR = {J. K. Bennighof and R. B. Lehoucq}, TITLE = {An automated multilevel substructuring method for eigenspace computation in linear elastodynamics}, JOURNAL = {SIAM J. Sci. Comput.}, FJOURNAL = {SIAM Journal on Scientific Computing}, VOLUME = {25}, YEAR = {2004}, NUMBER = {6}, PAGES = {2084--2106 (electronic)} } @article {MBenning_MBurger_2018a, AUTHOR = {M. Benning and M. Burger}, FAUTHOR = {Benning, Martin and Burger, Martin}, TITLE = {Modern regularization methods for inverse problems}, JOURNAL = {Acta Numer.}, FJOURNAL = {Acta Numerica}, VOLUME = {27}, YEAR = {2018}, PAGES = {1--111}, DOI = {10.1017/s0962492918000016}, URL = {https://doi.org/10.1017/s0962492918000016}, } @article {MBenning_ECelledoni_MJEhrhardt_BOwren_CBSchonlieb_2019a, AUTHOR = {M. Benning and E. Celledoni and M. J. Ehrhardt and B. Owren and C.-B. Sch\"{o}nlieb}, FAUTHOR = {Benning, Martin and Celledoni, Elena and Ehrhardt, Matthias J. and Owren, Brynjulf and Sch\"{o}nlieb, Carola-Bibiane}, TITLE = {Deep learning as optimal control problems: models and numerical methods}, JOURNAL = {J. Comput. Dyn.}, FJOURNAL = {Journal of Computational Dynamics}, VOLUME = {6}, YEAR = {2019}, NUMBER = {2}, PAGES = {171--198}, DOI = {10.3934/jcd.2019009}, URL = {https://doi.org/10.3934/jcd.2019009}, } @article{MBenning_ECelledoni_MJEhrhardt_BOwren_CBSchonlieb_2021a, AUTHOR = {M. Benning and E. Celledoni and M. J. Ehrhardt and B. Owren and C.-B. Sch\"{o}nlieb}, FAUTHOR = {Benning, Martin and Celledoni, Elena and Ehrhardt, Matthias J. and Owren, Brynjulf and Sch\"{o}nlieb, Carola-Bibiane}, TITLE = {Deep learning as optimal control problems}, journal = {IFAC-PapersOnLine}, volume = {54}, number = {9}, pages = {620-623}, year = {2021}, note = {24th International Symposium on Mathematical Theory of Networks and Systems MTNS 2020}, doi = {10.1016/j.ifacol.2021.06.124}, url = {https://doi.org/10.1016/j.ifacol.2021.06.124} } @article {ABenIsrael_1965a, FAUTHOR = {Ben-Israel, Adi}, AUTHOR = {A. Ben-Israel}, TITLE = {An iterative method for computing the generalized inverse of an arbitrary matrix}, JOURNAL = {Math. Comp.}, FJOURNAL = {Mathematics of Computation}, VOLUME = {19}, YEAR = {1965}, PAGES = {452--455}, DOI = {10.2307/2003676}, URL = {http://dx.doi.org/10.2307/2003676}, } @article {ABenIsrael_1966a, FAUTHOR = {Ben-Israel, Adi}, AUTHOR = {A. Ben-Israel}, TITLE = {A note on an iterative method for generalized inversion of matrices}, JOURNAL = {Math. Comp.}, FJOURNAL = {Mathematics of Computation}, VOLUME = {20}, YEAR = {1966}, PAGES = {439--440}, DOI = {10.1090/S0025-5718-66-99922-4 }, URL = {https://doi.org/10.1090/S0025-5718-66-99922-4}, } @BOOK{ABenIsrael_TNEGreville_1974, author = {A. Ben--Israel and T. N. E. Greville}, title = {Generalized Inverses: Theory and Applications}, publisher = {John Wiley \& Sons}, address = {New-York, Chicester, Brisbane, Toronto}, year = 1974 } @book {ABenIsrael_TNEGreville_2003a, AUTHOR = {A. Ben--Israel and T. N. E. Greville}, FAUTHOR = {Ben-Israel, Adi and Greville, Thomas N. E.}, TITLE = {Generalized inverses. {T}heory and applications}, SERIES = {CMS Books in Mathematics/Ouvrages de Math\'ematiques de la SMC, 15}, EDITION = {Second}, PUBLISHER = {Springer-Verlag, New York}, YEAR = {2003}, DOI = {10.1007/b97366}, URL = {https://doi.org/10.1007/b97366} } @article {MBenosman_JBorggaard_OSan_BKramer_2017a, AUTHOR = {M. Benosman and J. Borggaard and O. San and B. Kramer}, FAUTHOR = {Benosman, Mouhacine and Borggaard, Jeff and San, Omer and Kramer, Boris}, TITLE = {Learning-based robust stabilization for reduced-order models of 2{D} and 3{D} {B}oussinesq equations}, JOURNAL = {Appl. Math. Model.}, FJOURNAL = {Applied Mathematical Modelling. Simulation and Computation for Engineering and Environmental Systems}, VOLUME = {49}, YEAR = {2017}, PAGES = {162--181}, DOI = {10.1016/j.apm.2017.04.032}, URL = {https://doi.org/10.1016/j.apm.2017.04.032}, } @PHDTHESIS{DABenson_2005a, AUTHOR = {D. A. Benson}, title = {A {G}auss Pseudospectral Transcription for Optimal Control}, school = {Department of Aeronautics and Astronautics, Massachusetts Institute of Technology}, address = {Cambridge, MA 02139, USA}, year = 2005 } @article {DABenson_GTHuntington_TPThorvaldsen_AVRao_2006a, AUTHOR = {D. A. Benson and G. T. Huntington and T. P. Thorvaldsen and A. V. Rao}, TITLE = {Direct trajectory optimization and costate estimation via an orthogonal collocation method}, JOURNAL = {Journal of Guidance, Control, and Dynamics}, VOLUME = {29}, YEAR = {2006}, NUMBER = {6}, PAGES = {1435-1440} } @article {HYBenson_DFShanno_RJVanderbei_2004a, AUTHOR = {H. Y. Benson and D. F. Shanno and R. J. Vanderbei}, FAUTHOR = {Benson, Hande Y. and hanno, David F. and Vanderbei, Robert J.}, TITLE = {Interior-point methods for nonconvex nonlinear programming: jamming and numerical testing}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {99}, YEAR = {2004}, NUMBER = {1, Ser. A}, PAGES = {35--48}, DOI = {10.1007/s10107-003-0418-2}, URL = {https://doi.org/10.1007/s10107-003-0418-2}, } @article {HYBenson_ASen_DFShanno_RJVanderbei_2006a, AUTHOR = {H. Y. Benson and A. Sen and D. F. Shanno and R. J. Vanderbei}, FAUTHOR = {Benson, Hande Y. and Sen, Arun and Shanno, David F. and Vanderbei, Robert J.}, TITLE = {Interior-point algorithms, penalty methods and equilibrium problems}, JOURNAL = {Comput. Optim. Appl.}, FJOURNAL = {Computational Optimization and Applications. An International Journal}, VOLUME = {34}, YEAR = {2006}, NUMBER = {2}, PAGES = {155--182} } @article {HYBenson_RJVanderbei_DFShanno_2002a, AUTHOR = {H. Y. Benson and R. J. Vanderbei and D. F. 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Yam}, FAUTHOR = {Bensoussan, Alain and Frehse, Jens and Yam, Phillip}, TITLE = {Mean field games and mean field type control theory}, SERIES = {SpringerBriefs in Mathematics}, PUBLISHER = {Springer, New York}, YEAR = {2013}, DOI = {10.1007/978-1-4614-8508-7}, URL = {https://doi.org/10.1007/978-1-4614-8508-7}, } @BOOK{ABensoussan_GDaPrato_MCDelfour_SKMitter_1992a, author = {A. Bensoussan and G. {Da Prato} and M. C. Delfour and S. K. Mitter}, title= {Representation and Control of Infinite Dimensional Systems, Volume {I}.}, publisher = {Birkh{\"a}user}, address = {Basel, Boston, Berlin}, year = 1992 } @BOOK{ABensoussan_GDaPrato_MCDelfour_SKMitter_1992b, author = {A. Bensoussan and G. {Da Prato} and M. C. Delfour and S. K. Mitter}, title= {Representation and Control of Infinite Dimensional Systems, Volume {II}.}, publisher = {Birkh{\"a}user}, address = {Basel, Boston, Berlin}, year = 1992 } @book {ABensoussan_GDaPrato_MCDelfour_SKMitter_2007a, AUTHOR = {A. 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V{\'a}zquez}, FAUTHOR = {Berm{\'u}dez, Alfredo and Nogueiras, Maria R. and V{\'a}zquez, Carlos}, TITLE = {Numerical analysis of convection-diffusion-reaction problems with higher order characteristics/finite elements. {I}. {T}ime discretization}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {44}, YEAR = {2006}, NUMBER = {5}, PAGES = {1829--1853 (electronic)}, DOI = {10.1137/040612014}, URL = {http://dx.doi.org/10.1137/040612014}, } @article {ABermudez_MRNogueiras_CVazquez_2006b, AUTHOR = {A. Berm{\'u}dez and M. R. Nogueiras and C. V{\'a}zquez}, FAUTHOR = {Berm{\'u}dez, Alfredo and Nogueiras, Maria R. and V{\'a}zquez, Carlos}, TITLE = {Numerical analysis of convection-diffusion-reaction problems with higher order characteristics/finite elements. {II}. {F}ully discretized scheme and quadrature formulas}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {44}, YEAR = {2006}, NUMBER = {5}, PAGES = {1854--1876 (electronic)}, DOI = {10.1137/040615109}, URL = {http://dx.doi.org/10.1137/040615109}, } @TECHREPORT{CBernardi_ABlouza_2005a, author = {C. Bernardi and A. Blouza}, title = {Spectral discretization of a {N}agdhi shell model}, institution = {Laboratoire Jacques-Louis Lions, Universit\'e Pierre et Marie Curie}, address = {Boite courrier 187, 75252 Paris Cedex 05, France}, number = {R05037}, year =2005 } @article {CBernardi_ABlouza_2007a, AUTHOR = {C. Bernardi and A. Blouza}, FAUTHOR = {Bernardi, Christine and Blouza, Adel}, TITLE = {Spectral discretization of a {N}aghdi shell model}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {45}, YEAR = {2007}, NUMBER = {6}, PAGES = {2653--2670 (electronic)} } @article {CBernardi_YMaday_1990a, AUTHOR = {C. Bernardi and Y. Maday}, FAUTHOR = {Bernardi, Christine and Maday, Yvon}, TITLE = {Approximation results for spectral methods with domain decomposition}, NOTE = {Spectral multi-domain methods (Paris, 1988)}, JOURNAL = {Appl. Numer. Math.}, FJOURNAL = {Applied Numerical Mathematics. An IMACS Journal}, VOLUME = {6}, YEAR = {1989/90}, NUMBER = {1-2}, PAGES = {33--52}, URL = {https://doi.org/10.1016/0168-9274(89)90053-6}, } @article {CBernardi_YMaday_1992a, AUTHOR = {C. Bernardi and Y. Maday}, FAUTHOR = {Bernardi, Christine and Maday, Yvon}, TITLE = {Polynomial interpolation results in {S}obolev spaces}, NOTE = {Orthogonal polynomials and numerical methods}, JOURNAL = {J. Comput. Appl. Math.}, FJOURNAL = {Journal of Computational and Applied Mathematics}, VOLUME = {43}, YEAR = {1992}, NUMBER = {1-2}, PAGES = {53--80}, DOI = {10.1016/0377-0427(92)90259-Z}, URL = {http://dx.doi.org/10.1016/0377-0427(92)90259-Z}, } @incollection {CBernardi_YMaday_1997a, AUTHOR = {C. Bernardi and Y. Maday}, FAUTHOR = {Bernardi, Christine and Maday, Yvon}, TITLE = {Spectral Methods}, EDITOR = {P. G. Ciarlet and J. L. Lions}, BOOKTITLE = {Handbook of numerical analysis, {V}ol. {V}. Techniques of scientific computing. Part 2}, SERIES = {Handb. Numer. Anal., V}, PAGES = {209--486}, PUBLISHER = {North-Holland}, ADDRESS = {Amsterdam}, YEAR = {1997}, URL = {https://doi.org/10.1016/S1570-8659(97)80003-8} } @incollection {MBernadou_1995a, AUTHOR = {M. Bernadou}, FAUTHOR = {Bernadou, Michel}, TITLE = {Numerical analysis of thin shell junctions}, EDITOR = {Ph. G. Ciarlet and L. Trabucho and J. M. Via{\~n}o}, BOOKTITLE = {Asymptotic methods for elastic structures ({L}isbon, 1993)}, PAGES = {1--13}, PUBLISHER = {de Gruyter}, ADDRESS = {Berlin}, YEAR = {1995} } @book {MBernadou_1996a, AUTHOR = {M. Bernadou}, TITLE = {Finite Element Methods for Thin Shell Problems}, PUBLISHER = {John Wiley \& Sons}, ADDRESS = {New York}, YEAR = {1996} } @article {MBernadou_PGCiarlet_BMiara_1994a, AUTHOR = {M. 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Bertagnolio}, TITLE = {Solution of the incompressible {N}avier-{S}tokes equations on domains with one or several open boundaries}, JOURNAL = {Internat. J. Numer. Methods Fluids}, FJOURNAL = {International Journal for Numerical Methods in Fluids}, VOLUME = {31}, YEAR = {1999}, NUMBER = {7}, PAGES = {1061--1085} } @article{CBertoglio_ACaiazzo_YBazilevs_MBraack_etal_2018a, author = {C. Bertoglio and A. Caiazzo and Y. Bazilevs and M. Braack and M. Esmaily and V. Gravemeier and A. L. Marsden and O. Pironneau and I. E. Vignon-Clementel and W. A. 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Sledge}, fauthor = {Bertozzi, Andrea L. and Franco, Elisa and Mohler, George and Short, Martin B. and Sledge, Daniel}, title = {The challenges of modeling and forecasting the spread of {COVID-19}}, journal = {Proceedings of the National Academy of Sciences}, volume = {117}, number = {29}, pages = {16732--16738}, year = {2020}, doi = {10.1073/pnas.2006520117}, URL = {http://doi.org/10.1073/pnas.2006520117} } @inproceedings {DPBertsekas_1974a, AUTHOR = {D. P. Bertsekas}, FAUTHOR = {Bertsekas, Dimitri P.}, TITLE = {On the {G}oldstein-{L}evitin-{P}olyak gradient projection method}, BOOKTITLE = {Proceedings of the 1974 {IEEE} {C}onference on {D}ecision and {C}ontrol including 13th {S}ymposium on {A}daptive {P}rocesses ({P}hoenix, {A}riz., 1974)}, PAGES = {47--52}, PUBLISHER = {IEEE, New York}, YEAR = {1974}, MRCLASS = {65K05}, MRNUMBER = {468162}, } @article {DPBertsekas_1976a, AUTHOR = {D. P. Bertsekas}, FAUTHOR = {Bertsekas, Dimitri P.}, TITLE = {On the {G}oldstein-{L}evitin-{P}olyak gradient projection method}, JOURNAL = {IEEE Transactions on Automatic Control}, PAGES = {174-184}, VOLUME = {21}, NUMBER = {2}, YEAR = {1976}, DOI = {10.1109/TAC.1976.1101194}, URL = {http://doi.org/10.1109/TAC.1976.1101194} } @ARTICLE{DPBertsekas_1976, author = {D. B. Bertsekas}, title = {On the {G}oldstein-{L}evitin-{P}olyak gradient projection method}, journal = {IEEE Trans. Autom. Control}, VOLUME = {AC-21}, number = 2, year = 1976, pages = {174-184} } @BOOK{DPBertsekas_1982a, author = {D. P. Bertsekas}, title = {Constrained Optimization and {L}agrange Multiplier Methods}, publisher = {Academic Press}, address = {New York,. London, Paris, San Diego, San Francisco}, year = 1982 } @ARTICLE{DPBertsekas_1982b, AUTHOR = {D. P. Bertsekas}, FAUTHOR = {Bertsekas, Dimitri P.}, TITLE = {Projected {N}ewton methods for optimization problems with simple constraints}, JOURNAL = {SIAM J. Control Optim.}, FJOURNAL = {SIAM Journal on Control and Optimization}, VOLUME = {20}, YEAR = {1982}, NUMBER = {2}, PAGES = {221--246}, DOI = {10.1137/0320018}, URL = {https://doi.org/10.1137/0320018}, } @book {DPBertsekas_1991a, AUTHOR = {D. P. Bertsekas}, FAUTHOR = {Bertsekas, Dimitri P.}, TITLE = {Linear Network Optimization: Algorithms and Codes}, PUBLISHER = {MIT Press}, ADDRESS = {Cambridge, MA}, YEAR = {1991} } @BOOK{DPBertsekas_1995, author = {D. P. Bertsekas}, title = {Nonlinear Programming}, publisher = {Athena Scientific}, address = {Belmont, Massachusetts}, year = 1995 } @BOOK{DPBertsekas_1995a, author = {D. P. Bertsekas}, title = {Dynamic Programming and Optimal Control, Vol 1}, publisher = {Athena Scientific}, address = {Belmont, Massachusetts}, year = 1995 } @BOOK{DPBertsekas_1995b, author = {D. P. 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Ozdaglar}, PUBLISHER = {Athena Scientific, Belmont, MA}, YEAR = {2003} } @book {DPBertsekas_2005a, AUTHOR = {D. P. Bertsekas}, FAUTHOR = {Bertsekas, Dimitri P.}, TITLE = {Dynamic programming and optimal control. {V}ol. {I}}, EDITION = {Third}, PUBLISHER = {Athena Scientific, Belmont, MA}, YEAR = {2005} } @book {DPBertsekas_2009a, AUTHOR = {D. P. Bertsekas}, FAUTHOR = {Bertsekas, Dimitri P.}, TITLE = {Convex Optimization Theory}, PUBLISHER = {Athena Scientific, Nashua, NH}, YEAR = {2009}, } @book {DPBertsekas_2015a, AUTHOR = {D. P. Bertsekas}, FAUTHOR = {Bertsekas, Dimitri P.}, TITLE = {Convex Optimization Algorithms}, PUBLISHER = {Athena Scientific, Belmont, MA}, YEAR = {2015}, } @article {DPBertsekas_2015b, AUTHOR = {D. P. Bertsekas}, FAUTHOR = {Bertsekas, Dimitri P.}, TITLE = {Incremental Aggregated Proximal and Augmented {L}agrangian Algorithms}, JOURNAL = {arXiv:1509.09257v2}, YEAR = {2015}, URL = {http://arxiv.org/abs/1509.09257v2}, } @book {DPBertsekas_2016a, AUTHOR = {D. P. Bertsekas}, FAUTHOR = {Bertsekas, Dimitri P.}, TITLE = {Nonlinear Programming}, SERIES = {Athena Scientific Optimization and Computation Series}, EDITION = {Third}, PUBLISHER = {Athena Scientific, Belmont, MA}, YEAR = {2016}, } @book {DPBertsekas_2017a, AUTHOR = {D. P. Bertsekas}, FAUTHOR = {Bertsekas, Dimitri P.}, TITLE = {Dynamic programming and optimal control. {V}ol. {I}}, EDITION = {Fourth}, PUBLISHER = {Athena Scientific, Belmont, MA}, YEAR = {2017}, } @book {DPBertsekas_2018a, AUTHOR = {D. P. Bertsekas}, FAUTHOR = {Bertsekas, Dimitri P.}, TITLE = {Abstract Dynamic Programming}, SERIES = {Athena Scientific Optimization and Computation Series}, EDITION = {Second}, PUBLISHER = {Athena Scientific, Belmont, MA}, YEAR = {2018}, } @book {DPBertsekas_2019a, AUTHOR = {D. P. Bertsekas}, FAUTHOR = {Bertsekas, Dimitri P.}, TITLE = {Reinforcement Learning and Optimal Control}, SERIES = {Athena Scientific Optimization and Computation Series}, PUBLISHER = {Athena Scientific, Belmont, MA}, YEAR = {2019}, } @book {DPBertsekas_2020a, AUTHOR = {D. P. Bertsekas}, FAUTHOR = {Bertsekas, Dimitri P.}, TITLE = {Rollout, Policy Iteration, and Distributed Reinforcement Learning}, SERIES = {Athena Scientific Optimization and Computation Series}, PUBLISHER = {Athena Scientific, Belmont, MA}, YEAR = {2020}, } @book {DPBertsekas_2022a, AUTHOR = {D. P. Bertsekas}, FAUTHOR = {Bertsekas, Dimitri P.}, TITLE = {Lessons from AlphaZero for Optimal, Model Predictive, and Adaptive Control}, SERIES = {Athena Scientific Optimization and Computation Series}, PUBLISHER = {Athena Scientific, Belmont, MA}, YEAR = {2022}, } @article {DPBertsekas_2022b, AUTHOR = {D. P. Bertsekas}, FAUTHOR = {Bertsekas, Dimitri P.}, AUTHOR = {D. Bertsimas and D. B. Brown and C. Caramanis}, TITLE = {{N}ewton’s method for reinforcement learning and model predictive control}, JOURNAL = {Results in Control and Optimization}, FJOURNAL = {Results in Control and Optimization}, VOLUME = {7}, YEAR = {2022}, NUMBER = {Article 100121}, DOI = {10.1016/j.rico.2022.100121}, URL = {https://doi.org/10.1016/j.rico.2022.100121}, } @ARTICLE{DPBertsekas_PTseng1994, author = {D. P. Bertsekas and P. Tseng}, title = {Partial Proximal Minimization Algorithms for Convex Programming}, journal = {SIAM J.\ on Optimization }, year = 1994, pages = {551--572}, volume = 4 } @BOOK{DPBertsekas_JTsitsiklis_1989, author = {D. P. Bertsekas and J. Tsitsiklis}, title = {Parallel and Distributed Computation: Numerical Methods}, publisher = {Prentice Hall}, address = {Englewood Cliffs. N.J.}, year = 1989 } @BOOK{DPBertsekas_JTsitsiklis_1996, author = {D. P. Bertsekas and J. 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Zhuo}, TITLE = {Robust Classification}, JOURNAL = {INFORMS J. Optimization}, FJOURNAL = {INFORMS Journal on Optimization}, VOLUME = {1}, YEAR = {2018}, NUMBER = {1}, PAGES = {2-34}, DOI = {10.1287/ijoo.2018.0001}, URL = {https://doi.org/10.1287/ijoo.2018.0001} } @article {DBertsimas_VGuptas_NKallus_2018a, FAUTHOR = {Bertsimas, Dimitris and Gupta, Vishal and Kallus, Nathan}, AUTHOR = {D. Bertsimas and V. Guptas and N. Kallus}, TITLE = {Data-driven robust optimization}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming}, VOLUME = {167}, YEAR = {2018}, NUMBER = {2, Ser. A}, PAGES = {235--292}, DOI = {10.1007/s10107-017-1125-8}, URL = {https://doi.org/10.1007/s10107-017-1125-8}, } @article {DBertsimas_VGuptas_NKallus_2018b, FAUTHOR = {Bertsimas, Dimitris and Gupta, Vishal and Kallus, Nathan}, AUTHOR = {D. Bertsimas and V. Guptas and N. Kallus}, TITLE = {Robust sample average approximation}, JOURNAL = {Math. 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Betts}, FAUTHOR = {Betts, John T.}, TITLE = {Optimal low-thrust orbit transfers with eclipsing}, JOURNAL = {Optimal Control Appl. Methods}, FJOURNAL = {Optimal Control Applications \& Methods}, VOLUME = {36}, YEAR = {2015}, NUMBER = {2}, PAGES = {218--240}, ISSN = {0143-2087,1099-1514}, MRCLASS = {49N90 (49M20 70M20 93C80)}, MRNUMBER = {3322175}, DOI = {10.1002/oca.2111}, URL = {https://doi.org/10.1002/oca.2111}, } @book {JTBetts_2020a, AUTHOR = {J. T. Betts}, FAUTHOR = {Betts, John T.}, TITLE = {Practical Methods for Optimal Control Using Nonlinear Programming}, SERIES = {Advances in Design and Control}, VOLUME = {36}, EDITION = {Third}, PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA}, YEAR = {2020}, DOI = {10.1137/1.9781611976199}, URL = {https://doi.org/10.1137/1.9781611976199}, } @Article{JTBetts_NBiehn_SLCampbell_2002a, FAUTHOR = {John T. Betts and Neil Biehn and Stephen L. Campbell}, AUTHOR = {J. T. Betts and N. Biehn and S. L. 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Digirolamo}, FAUTHOR = {Betts, John T. and Campbell, Stephen and Digirolamo, Claire}, TITLE = {Examination of solving optimal control problems with delays using {GPOPS}-{II}}, JOURNAL = {Numer. Algebra Control Optim.}, FJOURNAL = {Numerical Algebra, Control and Optimization}, VOLUME = {11}, YEAR = {2021}, NUMBER = {2}, PAGES = {283--305}, DOI = {10.3934/naco.2020026}, URL = {https://doi.org/10.3934/naco.2020026}, } @INPROCEEDINGS{JTBetts_SLCampbell_NNKalla_2003a, author = {J. T. Betts and S. L. Campbell and N. N. Kalla}, title = {Initialization of direct transcription optimal control software}, booktitle = {42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)}, year = {2003}, volume = {4}, pages = {3802-3807 vol.4}, doi = {10.1109/CDC.2003.1271741}, URL = {ttps://doi.org/10.1109/CDC.2003.1271741} } @article {JTBetts_SOErb_2003a, AUTHOR = {J. T. Betts and S. O. 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Part {I}: The {K}rylov--{S}chur solver}, institution = {Computational Mechanics Lab}, address = {Department of Civil and Environmental Engineering, Carnegie Mellon University}, year = {2000}, note ={Appeared as \cite{GBiros_OGhattas_2005a}} } @TECHREPORT{GBiros_OGhattas_2000b, author = {G. Biros and O. Ghattas}, title = {Parallel {L}agrange--{N}ewton--{K}rylov--{S}chur methods for {PDE}--constrained optimization. Part {II}: The {L}agrange--{N}ewton solver and its Application to Optimal Control of Steady Viscous Flows}, institution = {Computational Mechanics Lab}, address = {Department of Civil and Environmental Engineering, Carnegie Mellon University}, year = {2000}, note = {Appeared as \cite{GBiros_OGhattas_2005b}} } @incollection {GBiros_OGhattas_2003a, AUTHOR = {G. Biros and O. Ghattas}, TITLE = {Inexactness issues in the {L}agrange-{N}ewton-{K}rylov-{S}chur method for {PDE}-constrained optimization}, BOOKTITLE = {Large-scale PDE-constrained optimization (Santa Fe, NM, 2001)}, EDITOR = {L. T. Biegler and O. Ghattas and M. Heinkenschloss and B. van~Bloemen~Waanders}, SERIES = {Lect. Notes Comput. Sci. Eng.}, VOLUME = {30}, PAGES = {93--114}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {2003} } @ARTICLE{GBiros_OGhattas_2005a, author = {G. Biros and O. Ghattas}, title = {Parallel {L}agrange--{N}ewton--{K}rylov--{S}chur methods for {PDE}--constrained optimization. Part {I}: The {K}rylov--{S}chur solver}, Journal = {SIAM J. Sci. Comput.}, Volume = 27, Number = 2, Pages = {587--713}, year = {2005} } @ARTICLE{GBiros_OGhattas_2005b, author = {G. Biros and O. Ghattas}, title = {Parallel {L}agrange--{N}ewton--{K}rylov--{S}chur methods for {PDE}--constrained optimization. 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Comp.}, FJOURNAL = {Mathematics of Computation}, VOLUME = {50}, YEAR = {1988}, NUMBER = {181}, PAGES = {1--17}, NOTE = {\cite{JHBramble_JEPasciak_1988b}} } @article {JHBramble_JEPasciak_1988b, AUTHOR = {J. H. Bramble and J. E. Pasciak}, FAUTHOR = {Bramble, James H. and Pasciak, Joseph E.}, TITLE = {Corrigenda: ``{A} preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems''}, JOURNAL = {Math. Comp.}, FJOURNAL = {Mathematics of Computation}, VOLUME = {51}, YEAR = {1988}, NUMBER = {183}, PAGES = {387--388} } @article {JHBramble_JEPasciak_1990a, AUTHOR = {J. H. Bramble and J. E. Pasciak}, FAUTHOR = {Bramble, James H. and Pasciak, Joseph E.}, TITLE = {A domain decomposition technique for {S}tokes problems}, JOURNAL = {Appl. Numer. Math.}, FJOURNAL = {Applied Numerical Mathematics. An IMACS Journal}, VOLUME = {6}, YEAR = {1990}, NUMBER = {4}, PAGES = {251--261} } @article {JHBramble_JEPasciak_1993a, AUTHOR = {J. H. Bramble and J. E. Pasciak}, FAUTHOR = {Bramble, James H. and Pasciak, Joseph E.}, TITLE = {New estimates for multilevel algorithms including the {$V$}-cycle}, JOURNAL = {Math. Comp.}, FJOURNAL = {Mathematics of Computation}, VOLUME = {60}, YEAR = {1993}, NUMBER = {202}, PAGES = {447--471} } @ARTICLE{JHBramble_JEPasciak_AHSchatz_1986, author = {J. H. Bramble and J. E. Pasciak and A. H. Schatz}, title = {The Construction of Preconditioners for Elliptic Problems by Substructuring, {I}}, journal = {Mathematics of Computation}, volume = 47, number = 175, pages = {103--134}, year = 1986, } @ARTICLE{JHBramble_JEPasciak_ATVassilev_1997, AUTHOR = {J. H. Bramble and J. E. Pasciak and A. T. Vassilev}, FAUTHOR = {Bramble, James H. and Pasciak, Joseph E. and Vassilev, Apostol T.}, TITLE = {Analysis of the inexact {U}zawa algorithm for saddle point problems}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {34}, YEAR = {1997}, NUMBER = {3}, PAGES = {1072--1092}, DOI = {10.1137/S0036142994273343}, URL = {https://doi.org/10.1137/S0036142994273343}, } @ARTICLE{JHBramble_JEPasciak_ATVassilev_1998, author = {J. H. Bramble and J. E. Pasciak and A. T. Vassilev}, title = {Analysis of non--overlapping domain decomposition algorithms with inexact solves}, journal = {Mathematics of Computation}, volume = {67}, pages = {1--19}, year = 1998 } @article {JHBramble_JEPasciak_ATVassilev_2000a, AUTHOR = {J. H. Bramble and J. E. Pasciak and A. T. Vassilev}, FAUTHOR = {Bramble, James H. and Pasciak, Joseph E. and Vassilev, Apostol T.}, TITLE = {Uzawa type algorithms for nonsymmetric saddle point problems}, JOURNAL = {Math. Comp.}, FJOURNAL = {Mathematics of Computation}, VOLUME = {69}, YEAR = {2000}, NUMBER = {230}, PAGES = {667--689}, DOI = {10.1090/S0025-5718-99-01152-7}, URL = {https://doi.org/10.1090/S0025-5718-99-01152-7}, } @ARTICLE{JHBramble_ZLeyk_JEPasciak_JXu_1990, author = {J. H. Bramble and J. E. Pasciak and J. Xu}, title = {Parallel multilevel preconditioners}, journal = {Math. Comput.}, volume = {55}, pages = {1--22}, year = 1990 } @article {JHBramble_TSun_1998a, AUTHOR = {J. H. Bramble and T. Sun}, FAUTHOR = {Bramble, James H. and Sun, Tong}, TITLE = {A locking-free finite element method for {N}aghdi shells}, JOURNAL = {J. Comput. Appl. Math.}, FJOURNAL = {Journal of Computational and Applied Mathematics}, VOLUME = {89}, YEAR = {1998}, NUMBER = {1}, PAGES = {119--133} } @ARTICLE{JHBramble_JXu_1991, author = {J. H. Bramble and J. Xu}, title = {Some estimates for a weighted ${L}^2$ projection}, journal = {Math. 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Coleman and Y. Li}, title = {A subspace, interior, and conjugate gradient method for large-scale bound-constrained minimization problems}, institution = {Center for Theory and Simulation in Science and Engineering}, address = {Cornell University, Ithaca, NY 14853--3801}, type = {{CTC}95{TR}217}, year = 1995 } @article {MABranch_TFColeman_YLi_1999a, AUTHOR = {M. A. Branch and T. F. Coleman and Y. Li}, FAUTHOR = {Branch, Mary Ann and Coleman, Thomas F. and Li, Yuying}, TITLE = {A subspace, interior, and conjugate gradient method for large-scale bound-constrained minimization problems}, JOURNAL = {SIAM J. Sci. Comput.}, FJOURNAL = {SIAM Journal on Scientific Computing}, VOLUME = {21}, YEAR = {1999}, NUMBER = {1}, PAGES = {1--23 (electronic)} } @incollection {ChBrandenburg_FLindemann_MUlbrich_SUlbrich_2009a, AUTHOR = {Ch. Brandenburg and F. Lindemann and M. Ulbrich and S. Ulbrich}, FAUTHOR = {Brandenburg, Christian and Lindemann, Florian and Ulbrich, Michael and Ulbrich, Stefan}, TITLE = {A continuous adjoint approach to shape optimization for {N}avier {S}tokes flow}, EDITOR = {K. Kunisch and G. Leugering and J. Sprekels and F. Tr{\"o}ltzsch}, BOOKTITLE = {Optimal control of coupled systems of partial differential equations}, SERIES = {Internat. Ser. Numer. Math.}, VOLUME = {158}, PAGES = {35--56}, PUBLISHER = {Birkh\"auser Verlag}, ADDRESS = {Basel}, YEAR = {2009}, DOI = {10.1007/978-3-7643-8923-9\_2}, URL = {http://dx.doi.org/10.1007/978-3-7643-8923-9\_2} } @article {ABrandt_1977, AUTHOR = {A. Brandt}, FAUTHOR = {Brandt, Achi}, TITLE = {Multi-level adaptive solutions to boundary-value problems}, JOURNAL = {Math. Comp.}, FJOURNAL = {Mathematics of Computation}, VOLUME = {31}, YEAR = {1977}, NUMBER = {138}, PAGES = {333--390} } @inproceedings {ABrandt_1982, AUTHOR = {A. Brandt}, TITLE = {Guide to Multigrid Development}, EDITOR = {W. Hackbusch and U. Trottenberg}, BOOKTITLE = {Multigrid methods. Proceedings of the {C}onference held in {C}ologne, {N}ovember 23--27, 1981}, SERIES = {Lecture Notes in Mathematics}, VOLUME = {960}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {1982}, PAGES = {221--312} } @article {ABrandt_1994a, AUTHOR = {A. Brandt}, FAUTHOR = {Brandt, Achi}, TITLE = {Rigorous quantitative analysis of multigrid. {I}. {C}onstant coefficients two-level cycle with {$L\sb 2$}-norm}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {31}, YEAR = {1994}, NUMBER = {6}, PAGES = {1695--1730} } @incollection {ABrandt_NDinar_1979, AUTHOR = {A. Brandt and N. Dinar}, FAUTHOR = {Brandt, Achi and Dinar, Nathan}, TITLE = {Multigrid solutions to elliptic flow problems}, BOOKTITLE = {Numerical methods for partial differential equations ({P}roc. {A}dv. {S}em., {M}ath. {R}es. {C}enter, {U}niv. {W}isconsin, {M}adison, {W}is., 1978)}, SERIES = {Publ. Math. Res. Center Univ. 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Lorenz}, FAUTHOR = {Bredies, Kristian and Lorenz, Dirk}, TITLE = {Mathematical image processing}, SERIES = {Applied and Numerical Harmonic Analysis}, PUBLISHER = {Birkh\"auser/Springer, Cham}, YEAR = {2018}, DOI = {10.1007/978-3-030-01458-2}, URL = {https://doi.org/10.1007/978-3-030-01458-2}, } @article {KBredies_HSun_2015a, AUTHOR = {K. Bredies and H. Sun}, FAUTHOR = {Bredies, Kristian and Sun, Hongpeng}, TITLE = {Preconditioned {D}ouglas-{R}achford splitting methods for convex-concave saddle-point problems}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {53}, YEAR = {2015}, NUMBER = {1}, PAGES = {421--444}, DOI = {10.1137/140965028}, URL = {https://doi.org/10.1137/140965028}, } @article {KBredies_HSun_2017a, AUTHOR = {K. Bredies and H. Sun}, FAUTHOR = {Bredies, Kristian and Sun, Hongpeng}, TITLE = {A proximal point analysis of the preconditioned alternating direction method of multipliers}, JOURNAL = {J. Optim. 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Gerdts}, FAUTHOR = {B\"{u}skens, Christof and Gerdts, Matthias}, TITLE = {Real-time optimization of {DAE} systems}, EDITOR = {M. Gr\"{o}tschel and S. O. Krumke and J. Rambau}, BOOKTITLE = {Online optimization of large scale systems}, PAGES = {117--128}, PUBLISHER = {Springer, Berlin}, YEAR = {2001}, URL = {https://doi.org/10.1007/978-3-662-04331-8_8}, DOI = {10.1007/978-3-662-04331-8_8} } @article {CBueskens_HMaurer_2000a, AUTHOR = {C. B{\"u}skens and H. Maurer}, FAUTHOR = {B\"{u}skens, Christof and Maurer, Helmut}, TITLE = {S{QP}-methods for solving optimal control problems with control and state constraints: adjoint variables, sensitivity analysis and real-time control}, NOTE = {SQP-based direct discretization methods for practical optimal control problems}, JOURNAL = {J. Comput. Appl. Math.}, FJOURNAL = {Journal of Computational and Applied Mathematics}, VOLUME = {120}, YEAR = {2000}, NUMBER = {1-2}, PAGES = {85--108}, DOI = {10.1016/S0377-0427(00)00305-8}, URL = {https://doi.org/10.1016/S0377-0427(00)00305-8}, } @incollection {CBueskens_HMaurer_2001a, AUTHOR = {C. B{\"u}skens and H. Maurer}, FAUTHOR = {B\"{u}skens, Christof and Maurer, Helmut}, TITLE = {{S}ensitivity analysis and real-time optimization of parametric nonlinear programming problems}, EDITOR = {M. Gr\"{o}tschel and S. O. Krumke and J. Rambau}, BOOKTITLE = {Online optimization of large scale systems}, PAGES = {3--16}, PUBLISHER = {Springer, Berlin}, YEAR = {2001}, URL = {https://doi.org/10.1007/978-3-662-04331-8_1}, DOI = {10.1007/978-3-662-04331-8_1} } @incollection {CBueskens_HMaurer_2001b, AUTHOR = {C. B{\"u}skens and H. Maurer}, FAUTHOR = {B\"{u}skens, Christof and Maurer, Helmut}, TITLE = {{S}ensitivity analysis and real-time control of parametric optimal control problems using nonlinear programming methods}, EDITOR = {M. Gr\"{o}tschel and S. O. Krumke and J. Rambau}, BOOKTITLE = {Online optimization of large scale systems}, PAGES = {57--68}, PUBLISHER = {Springer, Berlin}, YEAR = {2001}, URL = {https://doi.org/10.1007/978-3-662-04331-8_3}, DOI = {10.1007/978-3-662-04331-8_3} } @article {ABuffa_TJRHughes_GSangalli_2006a, AUTHOR = {Buffa, A. and Hughes, T. J. R. and Sangalli, G.}, TITLE = {Analysis of a multiscale discontinuous {G}alerkin method for convection-diffusion problems}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {44}, YEAR = {2006}, NUMBER = {4}, PAGES = {1420--1440 (electronic)} } @INPROCEEDINGS{MBuffoni_KWillcox_2010a, author = {M. Buffoni and K. 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Control Optim.}, FJOURNAL = {SIAM Journal on Control and Optimization}, VOLUME = {58}, YEAR = {2020}, NUMBER = {2}, PAGES = {1118--1120}, DOI = {10.1137/19M1308451}, URL = {https://doi.org/10.1137/19M1308451}, } @PHDTHESIS{TBui-Thanh_2007a, AUTHOR = {T. Bui-Thanh}, title = {Model-Constrained Optimization Methods for Reduction of Parameterized Large-Scale Systems}, school = {Department of Aeronautics and Astronautics, Massachusetts Institute of Technology}, address = {Cambridge, MA 02139, USA}, year = 2007 } @ARTICLE{TBui-Thanh_MDamodaran_KWillcox_2004a, author = {Bui-Thanh, T. and Damodaran, M. and Willcox, K.}, title = {Aerodynamic Data Reconstruction and Inverse Design using Proper Orthogonal Decomposition}, journal = {AIAA Journal}, year = 2004, pages = {1505--1516}, volume = 42, number = {8} } @article {TBui-Thanh_OGhattas_JMartin_GStadler_2013a, AUTHOR = {T. Bui-Thanh and O. Ghattas and J. Martin and G. 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Archives for Scientific Computing}, VOLUME = {71}, YEAR = {2003}, NUMBER = {1}, PAGES = {89--114}, DOI = {10.1007/s00607-003-0016-4}, URL = {http://dx.doi.org/10.1007/s00607-003-0016-4}, } @incollection {HJBungartz_SDirnstorfer_2004a, FAUTHOR = {Bungartz, Hans-Joachim and Dirnstorfer, Stefan}, AUTHOR = {H.-J. Bungartz and S. Dirnstorfer}, TITLE = {Higher order quadrature on sparse grids}, BOOKTITLE = {Computational science---{ICCS} 2004. {P}art {IV}}, SERIES = {Lecture Notes in Comput. Sci.}, VOLUME = {3039}, PAGES = {394--401}, PUBLISHER = {Springer, Berlin}, YEAR = {2004}, DOI = {10.1007/978-3-540-25944-2\_52}, URL = {http://dx.doi.org/10.1007/978-3-540-25944-2\_52}, } @ARTICLE{HJBungartz_MGriebel_2004a, AUTHOR = {H.-J. Bungartz and M. Griebel}, FAUTHOR = {Hans-Joachim Bungartz and Michael Griebel}, TITLE = {Sparse grids}, JOURNAL = {Acta Numerica}, VOLUME = {13}, PAGES = {147--269}, YEAR = {2004} } @book {HBunke_1972a, AUTHOR = {H. Bunke}, FAUTHOR = {Bunke, Helga}, TITLE = {Gew{\"o}hnliche {D}ifferentialgleichungen mit zuf{\"a}lligen {P}arametern}, SERIES = {Mathematische Lehrb{\"u}cher und Monographien, II. Abteilung: Mathematische Monographien [Mathematical Textbooks and Monographs, Part II: Mathematical Monographs]}, VOLUME = {Band XXXI}, PUBLISHER = {Akademie-Verlag, Berlin}, YEAR = {1972}, } @article {ABunse-Gerstner_RByers_VMehrmann_NKNichols_1999a, AUTHOR = {A. Bunse-Gerstner and R. Byers and V. Mehrmann and N. K. Nichols}, FAUTHOR = {Bunse-Gerstner, Angelika and Byers, Ralph and Mehrmann, Volker and Nichols, Nancy K.}, TITLE = {Feedback design for regularizing descriptor systems}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {299}, YEAR = {1999}, NUMBER = {1-3}, PAGES = {119--151}, DOI = {10.1016/S0024-3795(99)00167-6}, URL = {https://doi.org/10.1016/S0024-3795(99)00167-6}, } @ARTICLE{WLBuntine_ASWeigend_1994a, author = {W. L. Buntine and A. S. 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Yalcın Kaya}, TITLE = {{D}ouglas–{R}achford Algorithm for Control- and State-constrained Optimal Control Problems}, journal = {arXiv:1705.00160v1}, year = 2024, DOI = {10.48550/arXiv.2401.07436}, URL = {https://doi.org/10.48550/arXiv.2401.07436} } @article {RSBurachik_BICaldwell_CYKaya_WMMoursi_2024a, AUTHOR = {R. S. Burachik and B. I. Caldwell and C. Y. Kaya and W. M. Moursi}, FAUTHOR = {Burachik, Regina S. and Caldwell, Bethany I. and Kaya, C. Yal\c{c}in and Moursi, Walaa M.}, TITLE = {Optimal {C}ontrol {D}uality and the {D}ouglas--{R}achford {A}lgorithm}, JOURNAL = {SIAM J. Control Optim.}, FJOURNAL = {SIAM Journal on Control and Optimization}, VOLUME = {62}, YEAR = {2024}, NUMBER = {1}, PAGES = {680--698}, DOI = {10.1137/23M1558549}, URL = {https://doi.org/10.1137/23M1558549}, } @ARTICLE{ABurbeau_PSagaut_2002a, author = {A. Burbeau and P. Sagaut}, title = {Simulation of a voscous compressible flow past a circular cylinder with high-order discontinuous {G}alerkin methods}, journal = {Computers and Fluids}, year = {2002}, volume = {31}, pages = {867--889} } @article {MBurger_2001a, AUTHOR = {M. Burger}, TITLE = {A level set method for inverse problems}, JOURNAL = {Inverse Problems}, FJOURNAL = {Inverse Problems. An International Journal on the Theory and Practice of Inverse Problems, Inverse Methods and Computerized Inversion of Data}, VOLUME = {17}, YEAR = {2001}, NUMBER = {5}, PAGES = {1327--1355} } @article {MBurger_2003a, AUTHOR = {M. Burger}, TITLE = {A framework for the construction of level set methods for shape optimization and reconstruction}, JOURNAL = {Interfaces Free Bound.}, FJOURNAL = {Interfaces and Free Boundaries. Mathematical Modelling, Analysis and Computation}, VOLUME = {5}, YEAR = {2003}, NUMBER = {3}, PAGES = {301--329} } @article {MBurger_2004a, AUTHOR = {M. Burger}, TITLE = {Growth of multiple crystals in polymer melts}, JOURNAL = {European J. Appl. Math.}, VOLUME = {x}, YEAR = {2004}, NUMBER = {x}, PAGES = {xx--yy} } @article {MBurger_VCapasso_CSalani_2002a, AUTHOR = {M. Burger and V. Capasso and C. Salani}, TITLE = {Modelling multi-dimensional crystallization of polymers in interaction with heat transfer}, JOURNAL = {Nonlinear Anal. Real World Appl.}, FJOURNAL = {Nonlinear Analysis. Real World Applications. An International Multidisciplinary Journal}, VOLUME = {3}, YEAR = {2002}, NUMBER = {1}, PAGES = {139--160} } @article {MBurger_VCapasso_GEder_2002a, AUTHOR = {M. Burger and V. Capasso and G. Eder}, TITLE = {Modelling of polymer crystallization in temperature fields}, JOURNAL = {ZAMM Z. Angew. Math. Mech.}, FJOURNAL = {ZAMM. Zeitschrift f\"ur Angewandte Mathematik und Mechanik. Journal of Applied Mathematics and Mechanics}, VOLUME = {82}, YEAR = {2002}, NUMBER = {1}, PAGES = {51--63} } @article {MBurger_HWEngl_ALeitao_PMarkowich_2004a, AUTHOR = {Burger, M. and Engl, H. W. and Leitao, A. and Markowich, P. A.}, TITLE = {On inverse problems for semiconductor equations}, JOURNAL = {Milan J. Math.}, FJOURNAL = {Milan Journal of Mathematics}, VOLUME = {72}, YEAR = {2004}, PAGES = {273--313} } @article {MBurger_HWEngl_PMarkowich_PPietra_2001a, AUTHOR = {M. Burger and H. W. Engl and P. Markowich and P. Pietra}, FAUTHOR = {Burger, Martin and Engl, Heinz W. and Markowich, Peter A. and Pietra, Paola}, TITLE = {Identification of doping profiles in semiconductor devices}, JOURNAL = {Inverse Problems}, FJOURNAL = {Inverse Problems. An International Journal on the Theory and Practice of Inverse Problems, Inverse Methods and Computerized Inversion of Data}, VOLUME = {17}, YEAR = {2001}, NUMBER = {6}, PAGES = {1765--1795} } @article {MBurger_BHackl_WRing_2004a, AUTHOR = {M. Burger and B. Hackl and W. Ring}, AUTHOR = {Burger, Martin and Hackl, Benjamin and Ring, Wolfgang}, TITLE = {Incorporating topological derivatives into level set methods}, JOURNAL = {J. Comput. Phys.}, FJOURNAL = {Journal of Computational Physics}, VOLUME = {194}, YEAR = {2004}, NUMBER = {1}, PAGES = {344--362} } @collection {MBurger_ACGMennucci_SOsher_MRumpf_2013a, AUTHOR = {M. Burger and A. C. G. Mennucci and S. Osher and M. Rumpf}, FAUTHOR = {Burger, Martin and Mennucci, Andrea C. G. and Osher, Stanley and Rumpf, Martin}, TITLE = {Level set and {PDE} based reconstruction methods in imaging}, SERIES = {Lecture Notes in Math.}, VOLUME = {2090}, PUBLISHER = {Springer, Cham}, YEAR = {2013}, DOI = {10.1007/978-3-319-01712-9}, URL = {https://doi.org/10.1007/978-3-319-01712-9}, } @article {MBurger_MMoller_MBenning_SOsher_2013a, AUTHOR = {M. Burger and M. M\"{o}ller and M. Benning and S. Osher}, FAUTHOR = {Burger, Martin and M\"{o}ller, Michael and Benning, Martin and Osher, Stanley}, TITLE = {An adaptive inverse scale space method for compressed sensing}, JOURNAL = {Math. Comp.}, FJOURNAL = {Mathematics of Computation}, VOLUME = {82}, YEAR = {2013}, NUMBER = {281}, PAGES = {269--299}, DOI = {10.1090/S0025-5718-2012-02599-3}, URL = {https://doi.org/10.1090/S0025-5718-2012-02599-3}, } @incollection {MBurger_SOsher_2013a, AUTHOR = {M. Burger and S. Osher}, FAUTHOR = {Burger, Martin and Osher, Stanley}, TITLE = {A guide to the {TV} zoo}, EDITOR = {M. Burger and S. Osher}, BOOKTITLE = {Level set and {PDE} based reconstruction methods in imaging}, SERIES = {Lecture Notes in Math.}, VOLUME = {2090}, PAGES = {1--70}, PUBLISHER = {Springer, Cham}, YEAR = {2013}, DOI = {10.1007/978-3-319-01712-9_1}, URL = {https://doi.org/10.1007/978-3-319-01712-9_1}, } @article {MBurger_RPinnau_2003a, AUTHOR = {Burger, M. and Pinnau, R.}, FAUTHOR = {Burger, Martin and Pinnau, Ren{\'e}}, TITLE = {Fast optimal design of semiconductor devices}, JOURNAL = {SIAM J. Appl. Math.}, FJOURNAL = {SIAM Journal on Applied Mathematics}, VOLUME = {64}, YEAR = {2003}, NUMBER = {1}, PAGES = {108--126 (electronic)} } @TECHREPORT{MBurger_RStainko_2004a, author = {M. Burger and R. Stainko}, title = {Phase-Field Relaxation of Topology Optimization with Local Stress Constraints}, institution = {SFB F013 ''Numerical and Symbolic Scientific Computing''}, address = {Johannes Kepler Universit\"at Linz}, number = {2004-35}, year = 2004 } @ARTICLE {JMBurgers_1940, AUTHOR = {J. M. Burgers}, TITLE = {Application of a model system to illustrate some points of the statistical theory of free turbulence}, JOURNAL = {Nederl. Akad. Wetensch., Proc.}, VOLUME = {43}, YEAR = {1940}, PAGES = {2--12} } @INCOLLECTION{JMBurgers_1948, AUTHOR = {J. M. Burgers}, TITLE = {A mathematical model illustrating the theory of turbulence}, EDITOR = {Richard von Mises and Theodore von K\'arm\'an}, BOOKTITLE = {Advances in Applied Mechanics}, PAGES = {171--199}, PUBLISHER = {Academic Press Inc.}, ADDRESS = {New York, N. Y.}, YEAR = {1948} } @ARTICLE{JBurger_CMachbub_1991, author = {J. Burger and C. Machbub}, title = {Comparison of Numerical Solutions of a one-dimensional Nonlinear Heat Equation}, journal = { Communications in Applied Numerical Methods}, year = 1991, pages = {1--14}, volume = 7 } @ARTICLE{JBurger_MPogu_1991, author = {J. Burger and M. Pogu}, title = {Functional and Numerical Solution of a Control Problem Originating from Heat Transfer}, journal = {J. Optim. Theory Appl.}, year = 1991, pages = {49--73}, volume = 68 } @ARTICLE{CJCBurges_1998, author = {C. J. C. Burges}, title = {A Tutorial on Support Vector Machines for Pattern Recognition}, journal = {Data Mining and Knowledge Discovery}, year = 1998, pages = {955--974}, volume = 2 } @MISC{JBurkardt_2007a, author = {J. Burkardt}, title = {{TESTPACK} Testing Multidimensional Integration Routines}, note = {http://people.sc.fsu.edu/$\sim$jburkardt/m_src/testpack/testpack.html (accessed Dec.~3, 2013)}, year = 2007 } @MISC{JBurkardt_2009a, author = {J. Burkardt}, title = {{SOBOL\_DATASET} Generate {S}obol Datasets}, note = {http://people.sc.fsu.edu/$\sim$jburkardt/m_src/sobol\_dataset/sobol\_dataset.html (accessed Aug.~31, 2015)}, year = 2009 } @MISC{JBurkardt_2009b, author = {J. Burkardt}, title = {{FAURE\_DATASET} Generate Datasets of {F}aure Quasirandom Sequences}, note = {http://people.sc.fsu.edu/$\sim$jburkardt/m_src/faure\_dataset/faure\_dataset.html (accessed Aug.~31, 2015)}, year = 2009 } @MISC{JBurkardt_2010a, author = {J. Burkardt}, title = {On the Precision of Certain Multidimensional Isotropic Quadrature Schemes}, note = {http://people.sc.fsu.edu/$\sim$jburkardt/presentations/sgmga\_precision.pdf}, year = 2010 } @MISC{JBurkardt_2010b, author = {J. Burkardt}, title = {Slow Exponential Growth for {G}auss {P}atterson Sparse Grids}, note = {http://people.sc.fsu.edu/$\sim$jburkardt/presentations/sgmga\_gps.pdf}, year = 2010 } @MISC{JBurkardt_2010c, author = {J. Burkardt}, title = {Slow Exponential Growth for {C}lenshaw {C}urtis Sparse Grids}, note = {http://people.sc.fsu.edu/$\sim$jburkardt/presentations/sgmga\_ccs.pdf}, year = 2010 } @MISC{JBurkardt_2010d, author = {J. Burkardt}, title = {Counting Abscissas in Sparse Grids}, note = {http://people.sc.fsu.edu/$\sim$jburkardt/presentations/sgmga\_counting.pdf}, year = 2010 } @MISC{JBurkardt_2010d, author = {J. Burkardt}, title = {Counting Abscissas in Sparse Grids}, note = {http://people.sc.fsu.edu/$\sim$jburkardt/presentations/sgmga\_counting.pdf}, year = 2010 } @MISC{JBurkardt_2010e, author = {J. Burkardt}, title = {The 'Combining Coefficientcients' for Anisotropic Sparse Grids}, note = {http://people.sc.fsu.edu/$\sim$jburkardt/presentations/sgmga\_coefficient.pdf}, year = 2010 } @MISC{JBurkardt_2010f, author = {J. Burkardt}, title = {Efficient Calculation of the Anisotropic 'Combining Coefficientcient'}, note = {http://people.sc.fsu.edu/$\sim$jburkardt/presentations/sgmga\_coefficient2.pdf}, year = 2010 } @MISC{JBurkardt_2010g, author = {J. Burkardt}, title = {1D Quadrature Rules for Sparse Grids}, note = {http://people.sc.fsu.edu/$\sim$jburkardt/presentations/sgmga\_1d\_rules.pdf}, year = 2010 } @INPROCEEDINGS{JBurkardt_MDGunzburger_JPeterson_1995, author = {J. Burkardt and M. D. Gunzburger and J. Peterson}, title = {Discretization of cost and sensitivities in shape optimization}, editor = {K. L. Bowers and J. Lund}, booktitle = {Computation and Control {IV}}, publisher = {Birkh{\"a}user Verlag}, address = {Basel, Boston, Berlin}, pages = {43--56}, year = {1995} } @ARTICLE {JBurkardt_MDGunzburger_JPeterson_2002, AUTHOR = {J. Burkardt and M. D. Gunzburger and J. Peterson}, TITLE = {Insensitive functionals, inconsistent gradients, spurious minima, and regularized functionals in flow optimization problems}, JOURNAL = {International Journal of Computational Fluid Dynamics}, VOLUME = {16}, YEAR = {2002}, NUMBER = {3}, PAGES = {171--185} } @article {JBurkardt_MDGunzburger_CWebster_2007a, AUTHOR = {J. Burkardt and M. D. Gunzburger and C. Webster}, FAUTHOR = {Burkardt, John and Gunzburger, Max D. and Webster, Clayton}, TITLE = {Reduced order modeling of some nonlinear stochastic partial differential equations}, JOURNAL = {Int. J. Numer. Anal. Model.}, FJOURNAL = {International Journal of Numerical Analysis and Modeling}, VOLUME = {4}, YEAR = {2007}, NUMBER = {3-4}, PAGES = {368--391} } @ARTICLE{JVBurke_1992, author = {J. V. Burke}, title = {A robust trust--region method for constrained nonlinear programming problems}, journal = {SIAM J. Optimization}, year = 1992, pages = {325--347}, volume = 2 } @ARTICLE{JVBurke_1990, author = {J. V. Burke}, title = {On the identification of active constraints {II}: The nonconvex case}, journal = {SIAM J. Numer. Anal.}, year = 1990, pages = {1081--1102}, volume = 27 } @incollection {JVBurke_FECurtis_ASLewis_MLOverton_LEESimoes_2020a, AUTHOR = {J. V. Burke and F. E. Curtis and A. S. Lewis and M. L. Overton and L. E. E. Sim\~{o}es}, FAUTHOR = {Burke, James V. and Curtis, Frank E. and Lewis, Adrian S. and Overton, Michael L. and Sim\~{o}es, Lucas E. A.}, TITLE = {Gradient sampling methods for nonsmooth optimization}, EDITOR = {A. M. Bagirov and M. Gaudioso and N. Karmitsa and M. M. M\"{a}kel\"{a} and S. Taheri}, BOOKTITLE = {Numerical Nonsmooth Optimization. State of the Art Algorithms}, PAGES = {201--225}, PUBLISHER = {Springer, Cham}, YEAR = {[2020] \copyright 2020}, DOI = {10.1007/978-3-030-34910-3\_6}, URL = {https://doi.org/10.1007/978-3-030-34910-3_6}, } @article {JVBurke_SPHan_1989a, AUTHOR = {J. V. Burke and S.-P. Han}, TITLE = {A robust sequential quadratic programming method}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {43}, YEAR = {1989}, NUMBER = {3, (Ser. A)}, PAGES = {277--303} } @article {JVBurke_THoheisel_2013a, AUTHOR = {J. V. Burke and T. Hoheisel}, FAUTHOR = {Burke, James V. and Hoheisel, Tim}, TITLE = {Epi-convergent smoothing with applications to convex composite functions}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {23}, YEAR = {2013}, NUMBER = {3}, PAGES = {1457--1479}, DOI = {10.1137/120889812}, URL = {https://doi.org/10.1137/120889812}, } @article {JVBurke_THoheisel_2017a, AUTHOR = {J. V. Burke and T. Hoheisel}, FAUTHOR = {Burke, James V. and Hoheisel, Tim}, TITLE = {Epi-convergence properties of smoothing by infimal convolution}, JOURNAL = {Set-Valued Var. Anal.}, FJOURNAL = {Set-Valued and Variational Analysis}, VOLUME = {25}, YEAR = {2017}, NUMBER = {1}, PAGES = {1--23}, DOI = {10.1007/s11228-016-0362-y}, URL = {https://doi.org/10.1007/s11228-016-0362-y}, } @article {JVBurke_THoheisel_CKanzow_2013a, AUTHOR = {J. V. Burke and T. Hoheisel and Ch. Kanzow}, FAUTHOR = {Burke, James V. and Hoheisel, Tim and Kanzow, Christian}, TITLE = {Gradient consistency for integral-convolution smoothing functions}, JOURNAL = {Set-Valued Var. Anal.}, FJOURNAL = {Set-Valued and Variational Analysis}, VOLUME = {21}, YEAR = {2013}, NUMBER = {2}, PAGES = {359--376}, DOI = {10.1007/s11228-013-0235-6}, URL = {https://doi.org/10.1007/s11228-013-0235-6}, } @article {JVBurke_ASLewis_MLOverton_2003a, AUTHOR = {J. V. Burke and A. S. Lewis and M. L. Overton}, TITLE = {Optimization and pseudospectra, with applications to robust stability}, JOURNAL = {SIAM J. Matrix Anal. Appl.}, FJOURNAL = {SIAM Journal on Matrix Analysis and Applications}, VOLUME = {25}, YEAR = {2003}, NUMBER = {1}, PAGES = {80--104 (electronic)}, DOI = {10.1137/S0895479802402818}, URL = {http://dx.doi.org/10.1137/S0895479802402818}, } @article {JVBurke_ASLewis_MLOverton_2003b, AUTHOR = {J. V. Burke and A. S. Lewis and M. L. Overton}, TITLE = {Robust stability and a criss-cross algorithm for pseudospectra}, JOURNAL = {IMA J. Numer. Anal.}, FJOURNAL = {IMA Journal of Numerical Analysis}, VOLUME = {23}, YEAR = {2003}, NUMBER = {3}, PAGES = {359--375}, DOI = {10.1093/imanum/23.3.359}, URL = {http://dx.doi.org/10.1093/imanum/23.3.359}, } @article {JVBurke_ASLewis_MLOverton_2004a, AUTHOR = {J. V. Burke and A. S. Lewis and M. L. Overton}, TITLE = {Pseudospectral components and the distance to uncontrollability}, JOURNAL = {SIAM J. Matrix Anal. Appl.}, FJOURNAL = {SIAM Journal on Matrix Analysis and Applications}, VOLUME = {26}, YEAR = {2004/05}, NUMBER = {2}, PAGES = {350--361 (electronic)}, DOI = {10.1137/S0895479803433313}, URL = {http://dx.doi.org/10.1137/S0895479803433313}, } @article {JVBurke_ASLewis_MLOverton_2005a, AUTHOR = {J. V. Burke and A. S. Lewis and M. L. Overton}, TITLE = {Variational analysis of functions of the roots of polynomials}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {104}, YEAR = {2005}, NUMBER = {2-3, Ser. B}, PAGES = {263--292} } @ARTICLE{JVBurke_JJMore_1988, author = {J. V. Burke and J. J. Mor\'e}, title = {On the identification of active constraints}, journal = {SIAM J. Numer. Anal.}, year = 1988, pages = {1197--1211}, volume = 25 } @ARTICLE{JVBurke_JJMore_GToraldo_1990, author = {J. V. Burke and J. J. Mor\'e and G. Toraldo}, title = {Convergence properties of trust region methods for linear and convex constraints}, journal = {Math. Programming}, year = 1990, pages = {305--336}, volume = 47 } @article {EBurman_SClaus_PHansbo_MGLarson_AMassing_2015a, AUTHOR = {E. Burman and S. Claus and P. Hansbo and M. G. Larson and A. Massing}, FAUTHOR = {Burman, Erik and Claus, Susanne and Hansbo, Peter and Larson, Mats G. and Massing, Andr\'{e}}, TITLE = {Cut{FEM}: discretizing geometry and partial differential equations}, JOURNAL = {Internat. J. Numer. Methods Engrg.}, FJOURNAL = {International Journal for Numerical Methods in Engineering}, VOLUME = {104}, YEAR = {2015}, NUMBER = {7}, PAGES = {472--501}, DOI = {10.1002/nme.4823}, URL = {https://doi.org/10.1002/nme.4823}, } @article {EBurman_DElfverson_PHansbo_MGLarson_KLarsson_2019a, AUTHOR = {E. Burman and D. Elfverson and P. Hansbo and M. G. Larson and K. Larsson}, FAUTHOR = {Burman, Erik and Elfverson, Daniel and Hansbo, Peter and Larson, Mats G. and Larsson, Karl}, TITLE = {Hybridized {C}ut{FEM} for elliptic interface problems}, JOURNAL = {SIAM J. Sci. Comput.}, FJOURNAL = {SIAM Journal on Scientific Computing}, VOLUME = {41}, YEAR = {2019}, NUMBER = {5}, PAGES = {A3354--A3380}, DOI = {10.1137/18M1223836}, URL = {https://doi.org/10.1137/18M1223836}, } @ARTICLE{EBurman_JGuzman_DLeykekhman_2008a, author = {E. Burman and J. Guzman and D. Leykekhman}, title = {Weighted error estimates of the continuous interior penalty method for singularly perturbed problems}, journal = {IMA J. Numerical Analysis}, pages = {in press}, year = 2008 } @book {JABurns_2014a, AUTHOR = {J. A. Burns}, FAUTHOR = {Burns, John A.}, TITLE = {Introduction to the calculus of variations and control---with modern applications}, SERIES = {Chapman \& Hall/CRC Applied Mathematics and Nonlinear Science Series}, PUBLISHER = {CRC Press, Boca Raton, FL}, YEAR = {2014}, } @TechReport{JABurns_SKang_1990, AUTHOR = {J.~A.~Burns and S.~Kang}, FAUTHOR = {John A. Burns and Sungkwon Kang}, TITLE = {A Control Problem for {B}urgers' Equation with Bounded Input/Output}, INSTITUTION = {ICASE}, NUMBER = {90-45}, YEAR = {1990} } @article{JABurns_SKang_1991a, AUTHOR = {J.~A.~Burns and S.~Kang}, FAUTHOR = {John A. Burns and Sungkwon Kang}, TITLE = {A Control Problem for {B}urgers' Equation with Bounded Input/Output}, JOURNAL = {Nonlinear Dyn.}, FJOURNAL = {Nonlinear Dynamics}, VOLUME = {1}, YEAR = {1991}, NUMBER = {11-12}, PAGES = {235--262}, DOI = {10.1007/BF00045296}, URL = {https://doi.org/10.1007/BF00045296}, } } @INPROCEEDINGS{JABurns_SKang_1991b, AUTHOR = {J.~A.~Burns and S.~Kang}, FAUTHOR = {John A. Burns and Sungkwon Kang}, TITLE = {A stabilization problem for {B}urgers' equation with unbounded control and observation}, BOOKTITLE = {Estimation and Control of Distributed Parameter Systems: Proceedings of an International Conference on Control and Estimation of Distributed Parameter Systems, Vorau, July 8--14, 1990}, IGNORE = {International Series of Numerical Mathematics vol. 100}, PUBLISHER = {International Series of Numerical Mathematics, Vol. 100, Birkhauser Verlag, Basel}, YEAR = {1991} } @article {JABurns_BBKing_1998a, AUTHOR = {J. A. Burns and B. B. King}, FAUTHOR = {Burns, John A. and King, Belinda B.}, TITLE = {A reduced basis approach to the design of low-order feedback controllers for nonlinear continuous systems}, JOURNAL = {J. Vib. Control}, FJOURNAL = {Journal of Vibration and Control}, VOLUME = {4}, YEAR = {1998}, NUMBER = {3}, PAGES = {297--323}, DOI = {10.1177/107754639800400305}, URL = {https://doi.org/10.1177/107754639800400305}, } @article {JABurns_TLin_LGStanley_2005a, AUTHOR = {J. A. Burns and T. Lin and L. G. Stanley}, TITLE = {A {P}etrov {G}alerkin finite-element method for interface problems arising in sensitivity computations}, JOURNAL = {Comput. Math. Appl.}, FJOURNAL = {Computers \& Mathematics with Applications. An International Journal}, VOLUME = {49}, YEAR = {2005}, NUMBER = {11-12}, PAGES = {1889--1903}, DOI = {10.1016/j.camwa.2004.06.037}, URL = {http://dx.doi.org/10.1016/j.camwa.2004.06.037}, } @TechReport{JABurns_HMarrekchi_1993, AUTHOR = {J.~A. Burns and H. Marrekchi}, TITLE = {Optimal fixed-finite-dimensional compensator for {B}urgers' Equation with unbounded input/output operators}, INSTITUTION = {ICASE}, NUMBER = {93-19}, YEAR = {1993} } @ARTICLE{JABurns_BBKing_1998, author = {J. A. Burns and B. B. King}, title = {A reduced basis approach to the design of low order compensators for nonlinear partial differential systems}, journal = {Journal of Vibrations and Control}, vol = 4, year = {1998}, pages = {297--323} } @article {JABurns_CNRautenberg_2015a, AUTHOR = {J. A. Burns and C. N. Rautenberg}, FAUTHOR = {Burns, John A. and Rautenberg, Carlos N.}, TITLE = {The infinite-dimensional optimal filtering problem with mobile and stationary sensor networks}, JOURNAL = {Numer. Funct. Anal. Optim.}, FJOURNAL = {Numerical Functional Analysis and Optimization. An International Journal}, VOLUME = {36}, YEAR = {2015}, NUMBER = {2}, PAGES = {181--224}, DOI = {10.1080/01630563.2014.970647}, URL = {https://doi.org/10.1080/01630563.2014.970647}, } @article {JABurns_CNRautenberg_2015b, AUTHOR = {J. A. Burns and C. N. Rautenberg}, FAUTHOR = {Burns, John A. and Rautenberg, Carlos N.}, TITLE = {Solutions and approximations to the {R}iccati integral equation with values in a space of compact operators}, JOURNAL = {SIAM J. Control Optim.}, FJOURNAL = {SIAM Journal on Control and Optimization}, VOLUME = {53}, YEAR = {2015}, NUMBER = {5}, PAGES = {2846--2877}, DOI = {10.1137/130948513}, URL = {https://doi.org/10.1137/130948513}, } @article {JABurns_LGStanley_2001a, AUTHOR = {J. A. Burns and L. G. Stanley}, TITLE = {A note on the use of transformations in sensitivity computations for elliptic systems}, JOURNAL = {Math. Comput. Modelling}, FJOURNAL = {Mathematical and Computer Modelling}, VOLUME = {33}, YEAR = {2001}, NUMBER = {1-3}, PAGES = {101--114} } @BOOK{KBurrage_1995, author = {K. Burrage}, title = {Parallel and Sequential Methods for Ordinary Differential Equations}, publisher = {Oxford University Press}, series = {Numerical Mathematics and Scientific Computation}, address = {Oxford}, year = 1995 } @article {KBurrage_JCButcher_1979a, AUTHOR = {K. Burrage and J. C. Butcher}, FAUTHOR = {Burrage, Kevin and Butcher, J. C.}, TITLE = {Stability criteria for implicit {R}unge-{K}utta methods}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {16}, YEAR = {1979}, NUMBER = {1}, PAGES = {46--57}, DOI = {10.1137/0716004}, URL = {https://doi.org/10.1137/0716004}, } @ARTICLE{AJBurton_GFMiller_1971, author = {A. J. Burton and G. F. Miller}, title = {The Application of Integral Equation Methods to the Numerical Solution of Some Exterior Boundary-Value Problems}, journal = {Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences}, pages={201-210}, volume={323}, number={1553}, year=1971, } @article {VBusuioc_DCioranescu_2003a, AUTHOR = {V. Busuioc and D. Cioranescu}, TITLE = {On the flow of a {B}ingham fluid passing through an electric field}, JOURNAL = {Internat. J. Non-Linear Mech.}, FJOURNAL = {International Journal of Non-Linear Mechanics}, VOLUME = {38}, YEAR = {2003}, NUMBER = {3}, PAGES = {287--304} } @INPROCEEDINGS{MDButala_JYun_YChen_RAFrazin_FKamalabadi_2008a, author={M. D. Butala and J. Yun and Y. Chen and R. A. Frazin and F. Kamalabadi}, title={Asymptotic convergence of the ensemble {K}alman filter}, booktitle={15th IEEE International Conference on Image Processing, 2008. ICIP 2008.}, year={2008}, month={Oct}, pages={825-828}, doi={10.1109/ICIP.2008.4711882}, } @article{JCButcher_1963a, AUTHOR = {J. C. Butcher}, title = {Coefficients for the study of {R}unge-{K}utta integration processes}, journal = {Journal of the Australian Mathematical Society}, volume = {3}, number = {2}, pages = {185–201}, year = {1963}, DOI = {10.1017/S1446788700027932}, URL = {https://doi.org/10.1017/S1446788700027932} } @article {JCButcher_1964a, AUTHOR = {J. C. Butcher}, TITLE = {Implicit {R}unge-{K}utta processes}, JOURNAL = {Math. Comp.}, FJOURNAL = {Mathematics of Computation}, VOLUME = {18}, YEAR = {1964}, PAGES = {50--64}, DOI = {10.2307/2003405}, URL = {https://doi.org/10.2307/2003405}, } @article {JCButcher_1964b, AUTHOR = {J. C. Butcher}, TITLE = {Integration processes based on {R}adau quadrature formulas}, JOURNAL = {Math. Comp.}, FJOURNAL = {Mathematics of Computation}, VOLUME = {18}, YEAR = {1964}, PAGES = {233--244}, DOI = {10.2307/2003297}, URL = {https://doi.org/10.2307/2003297}, } @article {JCButcher_1976a, AUTHOR = {J. C. Butcher}, TITLE = {On the implementation of implicit {R}unge-{K}utta methods}, JOURNAL = {BIT}, FJOURNAL = {BIT. Numerical Mathematics}, VOLUME = {16}, YEAR = {1976}, PAGES = {237-240}, DOI = {10.1007/BF01932265}, URL = {https://doi.org/10.1007/BF01932265}, } @incollection {JCButcher_1980a, AUTHOR = {J. C. Butcher}, TITLE = {Some implementation schemes for implicit {R}unge-{K}utta methods}, EDITOR = {G. A. Watson}, BOOKTITLE = {Numerical analysis ({P}roc. 8th {B}iennial {C}onf., {U}niv. {D}undee, {D}undee, 1979)}, SERIES = {Lecture Notes in Math}, VOLUME = {773}, PAGES = {12--24}, PUBLISHER = {Springer, Berlin}, YEAR = {1980}, DOI = {10.1007/BFb0094160}, URL = {https://doi.org/10.1007/BFb0094160} } @book {JCButcher_1987a, AUTHOR = {J. C. 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Rannacher}, TITLE = {Indirect multiple shooting for nonlinear parabolic optimal control problems with control constraints}, JOURNAL = {SIAM J. Sci. Comput.}, FJOURNAL = {SIAM Journal on Scientific Computing}, VOLUME = {36}, YEAR = {2014}, NUMBER = {2}, PAGES = {A452--A481}, DOI = {10.1137/120895809}, URL = {http://dx.doi.org/10.1137/120895809}, } @article {FCarravetta_2015a, AUTHOR = {F. Carravetta}, FAUTHOR = {Carravetta, Francesco}, TITLE = {Global exact quadratization of continuous-time nonlinear control systems}, JOURNAL = {SIAM J. Control Optim.}, FJOURNAL = {SIAM Journal on Control and Optimization}, VOLUME = {53}, YEAR = {2015}, NUMBER = {1}, PAGES = {235--261}, DOI = {10.1137/130915418}, URL = {https://doi.org/10.1137/130915418}, } @INPROCEEDINGS{FCarravetta_2016a, AUTHOR = {F. 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Comput.}, FJOURNAL = {SIAM Journal on Scientific Computing}, VOLUME = {36}, YEAR = {2014}, NUMBER = {1}, PAGES = {A289--A309}, DOI = {10.1137/120903002}, URL = {http://dx.doi.org/10.1137/120903002}, } @TECHREPORT{LChen_2006a, author = {L. Chen}, title = {Short bisection implementation in {MATLAB}}, institution = {Department of Mathematics, University of California, Irvine}, address = {Irvine, CA 92697-3875}, year = 2006, url = {http://math.uci.edu/~chenlong/publication.html} } @TECHREPORT{LChen_2008a, author = {L. Chen}, title = {{$i$FEM}: an innovative finite element methods package in {MATLAB}}, institution = {Department of Mathematics, University of California, Irvine}, address = {Irvine, CA 92697-3875}, year = 2008, url = {http://math.uci.edu/~chenlong/iFEM.html} } @inproceedings{LChen_2008b, Author = {L. Chen}, Title = {Short implementation of bisection in {MATLAB}}, Editor = {P. Jorgensen and X. Shen and C.-W. Shu and N. Yan}, Booktitle = {Recent Advances in Computational Sciences -- Selected Papers from the International Workshop on Computational Sciences and Its Education}, Pages = {318 -- 332}, Year = {2008} } @TECHREPORT{LChen_2008c, author = {L. Chen}, title = {Data Structure of Simplicial Triangulations}, institution = {Department of Mathematics, University of California, Irvine}, address = {Irvine, CA 92697-3875}, year = 2008, url = {http://math.uci.edu/~chenlong/publication.html} } @BOOK{WChen_HZhou_WYu_LYang_2021a, author = {W. Chen and H. Zhou and W. Yu and L. Yang}, fauthor = {Wanchun Chen and Hao Zhou and Wenbin Yu and Liang Yang}, title = {Steady Glide Dynamics and Guidance of Hypersonic Vehicle}, publisher = {Springer}, address = {Singapore}, year = {2021}, doi = {10.1007/978-981-15-8901-0}, url = {https://doi.org/10.1007/978-981-15-8901-0} } @article {XChen_2012a, FAUTHOR = {Chen, Xiaojun}, AUTHOR = {X. Chen}, TITLE = {Smoothing methods for nonsmooth, nonconvex minimization}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming}, VOLUME = {134}, YEAR = {2012}, NUMBER = {1, Ser. B}, PAGES = {71--99}, DOI = {10.1007/s10107-012-0569-0}, URL = {https://doi.org/10.1007/s10107-012-0569-0}, } @article {XChen_ZNashed_LQi_2000a, AUTHOR = {X. Chen and Z. Nashed and L. Qi}, FAUTHOR = {Chen, Xiaojun and Nashed, Zuhair and Qi, Liqun}, TITLE = {Smoothing methods and semismooth methods for nondifferentiable operator equations}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {38}, YEAR = {2000}, NUMBER = {4}, PAGES = {1200--1216}, DOI = {10.1137/S0036142999356719}, URL = {https://doi.org/10.1137/S0036142999356719}, } @article {XChen_XSong_ZChen_BYu_2019a, AUTHOR = {X. Chen and X. Song and Z. Chen and B. Yu}, FAUTHOR = {Chen, Xiaotong and Song, Xiaoliang and Chen, Zixuan and Yu, Bo}, TITLE = {A multi-level {ADMM} algorithm for elliptic {PDE}-constrained optimization problems}, JOURNAL = {arXiv:1908.04652v1}, YEAR = {2019}, NOTE = {Appeared as \cite{XChen_XSong_ZChen_BYu_2020a}}, URL = {https://arxiv.org/abs/1908.04652} } @article {XChen_XSong_ZChen_BYu_2020a, AUTHOR = {X. Chen and X. Song and Z. Chen and B. Yu}, FAUTHOR = {Chen, Xiaotong and Song, Xiaoliang and Chen, Zixuan and Yu, Bo}, TITLE = {A multi-level {ADMM} algorithm for elliptic {PDE}-constrained optimization problems}, JOURNAL = {Comput. Appl. Math.}, FJOURNAL = {Computational \& Applied Mathematics}, VOLUME = {39}, YEAR = {2020}, NUMBER = {4}, PAGES = {Paper No. 331, 31}, DOI = {10.1007/s40314-020-01379-1}, URL = {https://doi.org/10.1007/s40314-020-01379-1}, } @article {XChen_RSWomersley_2006a, AUTHOR = {X. Chen and R. S. Womersley}, FAUTHOR = {Chen, Xiaojun and Womersley, Robert S.}, TITLE = {Existence of solutions to systems of underdetermined equations and spherical designs}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {44}, YEAR = {2006}, NUMBER = {6}, PAGES = {2326--2341}, DOI = {10.1137/050626636}, URL = {https://doi.org/10.1137/050626636}, } @PHDTHESIS{ZChen_1991, author = {Z. Chen}, title = {Das Phasenfeldmodell f\"ur das Problem der Phasen\"uberg\"ange: Analysis, Numerik und Steuerung}, school = {Institut f\"ur Mathematik, Universit\"at Augsburg, Germany}, note = {(in german)}, year = 1991 } @TECHREPORT{ZChen_1993, author = {Z. Chen}, title = {Optimal Boundary Controls for a Phase Field Model}, institution = {Institut f\"ur Angewandte Mathematik und Statistik, Technische Universit\"at M\"unchen, Postfach 20 10 32, D--80010 M\"unchen, Germany}, number = {432}, year = 1993 } @techreport{ZChen_2003a, author ={Z. Chen}, fauthor = {Chen, Zhe}, title = {{B}ayesian Filtering: From {K}alman Filters to Particle Filters, and Beyond}, institution = {McMaster University}, year = {2003} } @INPROCEEDINGS{GChen_SSCollis_2003a, author = {G. Chen and S. S. Collis}, fauthor = {Guoquan Chen and S. Scott Collis}, title = {Optimal Control for Burgers Flow Using the Discontinuous {G}alerkin Method}, booktitle = {AIAA Region IV Student Paper Conference}, year = {2003} } @INPROCEEDINGS{GChen_SSCollis_2005a, author = {G. Chen and S. S. Collis}, title = {Multi-Model Methods for Optimal Control of Aeroacoustics}, booktitle = {43rd AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada}, year = {2005}, doi = {doi:10.2514/6.2005-410}, url = {https://doi.org/10.2514/6.2005-410} } @TECHREPORT{GChen_SSCollis_2005b, author = {G. Chen and S. S. Collis}, title = {Multi-model Simulation for Optimal Control of Aeroacoustics}, number = {SAND 2005-2743}, institution = {Sandia National Laboratories}, year = {2005}, note = {available at http://gaston.sandia.gov/ccim_pubs_prod} } @ARTICLE{SChen_GDDoolen_1998a, author = {S. Chen and G. D. Doolen}, title = {Lattice {B}oltzmann Method for Fluiod Flows}, journal = {Annual Review of Fluid Mechanics}, volume = 30, pages = {329--364}, year = 1998 } @article {ZChen_REEwing_1997a, AUTHOR = {Z. Chen and R. E. Ewing}, FAUTHOR = {Chen, Zhangxin and Ewing, Richard E.}, TITLE = {Comparison of various formulations of three-phase flow in porous media}, JOURNAL = {J. Comput. Phys.}, FJOURNAL = {Journal of Computational Physics}, VOLUME = {132}, YEAR = {1997}, NUMBER = {2}, PAGES = {362--373}, DOI = {10.1006/jcph.1996.5641}, URL = {http://dx.doi.org/10.1006/jcph.1996.5641}, } @INPROCEEDINGS{ZChen_KHHoffmann_1991, author = {Z. Chen and K.--H. Hoffmann}, fauthor = {Zhiming Chen and Karl--Heinz Hoffmann}, title = {Numerical Solutions of the Optimal Control Problem Governed by a Phase Field Model}, editor = {W. Desch and F. Kappel and K. Kunisch}, booktitle = {Optimal Control of Partial Differential Equations}, publisher = {Birkh\"auser Verlag}, address = {Basel, Boston, Berlin}, pages = { }, year = 1991, url = {https://doi.org/10.1007/978-3-0348-6418-3_5}, doi = {10.1007/978-3-0348-6418-3_5} } @ARTICLE{ZChen_KHHoffmann_1994, author = {Z. Chen and K.--H. Hoffmann}, fauthor = {Zhiming Chen and Karl--Heinz Hoffmann}, title = {Error Estimate of a Finite Element Scheme for a Phase Field Model}, journal = {IMA Journal on Numerical Analysis}, volume = {14}, number = {2}, pages = {243-255}, year = {1994}, doi = {10.1093/imanum/14.2.243}, url = {https://doi.org/10.1093/imanum/14.2.243}, } @ARTICLE{ZSChen_GHofstetter_HAMang_1998a, author = {Z. S. Chen and G. Hofstetter and H. A. Mang}, title = {A {G}alerkin-type {BE}-{FE} formulation for elasto-acoustic coupling}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = 1998, pages = {47-155}, volume = 152 } @article {ZChen_GHuan_BLi_2004a, AUTHOR = {Z. Chen and G. Huan and B. Li}, TITLE = {An Improved {IMPES} Method for Two-Phase Flow in Porous Media}, JOURNAL = {Transp. in Porous Media}, FJOURNAL = {Transport in Porous Media}, VOLUME = {54}, YEAR = {2004}, PAGES = {361--376} } @book {ZChen_GHuan_YMa_2006a, AUTHOR = {Z. Chen and G. Huan and Y. Ma}, FAUTHOR = {Chen, Zhangxin and Huan, Guanren and Ma, Yuanle}, TITLE = {Computational methods for multiphase flows in porous media}, SERIES = {Computational Science \& Engineering}, PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)}, ADDRESS = {Philadelphia, PA}, YEAR = {2006}, DOI = {10.1137/1.9780898718942}, URL = {http://dx.doi.org/10.1137/1.9780898718942}, } @article {ZChen_DYKwak_YJYon_1998a, AUTHOR = {Z. Chen and D. Y. Kwak and Y. J. Yon}, FAUTHOR = {Chen, Zhangxin and Kwak, Do Y. and Yon, Yoon J.}, TITLE = {Multigrid algorithms for nonconforming and mixed methods for nonsymmetric and indefinite problems}, JOURNAL = {SIAM J. Sci. Comput.}, FJOURNAL = {SIAM Journal on Scientific Computing}, VOLUME = {19}, YEAR = {1998}, NUMBER = {2}, PAGES = {502--515 (electronic)} } @article {CHChen_OLMangasarian_1995a, AUTHOR = {C. H. Chen and O. L. Mangasarian}, FAUTHOR = {Chen, Chun Hui and Mangasarian, O. L.}, TITLE = {Smoothing methods for convex inequalities and linear complementarity problems}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {71}, YEAR = {1995}, NUMBER = {1, Ser. A}, PAGES = {51--69}, DOI = {10.1007/BF01592244}, URL = {http://dx.doi.org/10.1007/BF01592244}, } @article {LChen_RHNochetto_EOtarola_AJSalgado_2015a, AUTHOR = {L. Chen and R. H. Nochetto and E. Ot{\'a}rola and A. J. Salgado}, FAUTHOR = {Chen, Long and Nochetto, Ricardo H. and Ot{\'a}rola, Enrique and Salgado, Abner J.}, TITLE = {A {PDE} approach to fractional diffusion: a posteriori error analysis}, JOURNAL = {J. Comput. Phys.}, FJOURNAL = {Journal of Computational Physics}, VOLUME = {293}, YEAR = {2015}, PAGES = {339--358}, DOI = {10.1016/j.jcp.2015.01.001}, URL = {http://dx.doi.org/10.1016/j.jcp.2015.01.001}, } @article{XChen_EJPark_DXiu_2013a, author = "X. Chen and E.-J. Park and D. Xiu", fauthor = "Xiaoxiao Chen and Eun-Jae Park and Dongbin Xiu", title = "A flexible numerical approach for quantification of epistemic uncertainty ", journal = "Journal of Computational Physics ", volume = "240", number = "0", pages = "211 - 224", year = "2013", doi = "10.1016/j.jcp.2013.01.018", url = "http://dx.doi.org/10.1016/j.jcp.2013.01.018" } @article {TChen_CWShu_2017a, AUTHOR = {T. Chen and C.-W. Shu}, FAUTHOR = {Chen, Tianheng and Shu, Chi-Wang}, TITLE = {Entropy stable high order discontinuous {G}alerkin methods with suitable quadrature rules for hyperbolic conservation laws}, JOURNAL = {J. Comput. Phys.}, FJOURNAL = {Journal of Computational Physics}, VOLUME = {345}, YEAR = {2017}, PAGES = {427--461}, DOI = {10.1016/j.jcp.2017.05.025}, URL = {https://doi.org/10.1016/j.jcp.2017.05.025}, } @article {ZChen_XSong_XZhang_BYu_2019a, AUTHOR = {Z. Chen and X. Song and X. Zhang and B. Yu}, FAUTHOR = {Chen, Zixuan and Song, Xiaoliang and Zhang, Xuping and Yu, Bo}, TITLE = {A {FE}-{ADMM} algorithm for {L}avrentiev-regularized state-constrained elliptic control problem}, JOURNAL = {ESAIM Control Optim. Calc. Var.}, FJOURNAL = {ESAIM. Control, Optimisation and Calculus of Variations}, VOLUME = {25}, YEAR = {2019}, PAGES = {Art. 5, 37}, DOI = {10.1051/cocv/2018019}, URL = {https://doi.org/10.1051/cocv/2018019}, } @article {LChen_DSun_KCToh_2017a, AUTHOR = {L. Chen and D. Sun and K.-C. Toh}, FAUTHOR = {Chen, Liang and Sun, Defeng and Toh, Kim-Chuan}, TITLE = {A note on the convergence of {ADMM} for linearly constrained convex optimization problems}, JOURNAL = {Comput. Optim. Appl.}, FJOURNAL = {Computational Optimization and Applications. An International Journal}, VOLUME = {66}, YEAR = {2017}, NUMBER = {2}, PAGES = {327--343}, DOI = {10.1007/s10589-016-9864-7}, URL = {https://doi.org/10.1007/s10589-016-9864-7}, } @ARTICLE{MChen_RTemam_1991, author = {M. Chen and R. Temam}, title = {Incremental unknowns for solving partial differential equations}, journal = {Numerische Mathematik}, year = {1991}, pages = {255--271}, volume = {59} } @ARTICLE{MChen_RTemam_1993a, author = {M. Chen and R. Temam}, title = {Incremental unknowns for convection--diffusion equations}, journal = {Applied Numerical Mathematics}, year = 1993, pages = {365--383}, volume = 11 } @ARTICLE{MChen_RTemam_1993b, author = {M. Chen and R. Temam}, title = {Incremental unknowns for finite differences: condition number of the matrix}, journal = {SIAM J.\ Matrix Anal.\ Appl.}, year = 1993, pages = {432--455}, volume = 14 } @article {KKChen_JHTu_CWRowley_2012a, AUTHOR = {K. K. Chen and J. H. Tu and C. W. Rowley}, FAUTHOR = {Chen, Kevin K. and Tu, Jonathan H. and Rowley, Clarence W.}, TITLE = {Variants of dynamic mode decomposition: boundary condition, {K}oopman, and {F}ourier analyses}, JOURNAL = {J. Nonlinear Sci.}, FJOURNAL = {Journal of Nonlinear Science}, VOLUME = {22}, YEAR = {2012}, NUMBER = {6}, PAGES = {887--915}, URL = {https://doi.org/10.1007/s00332-012-9130-9}, } @article {LChen_DWang_2007a, author = {L. Chen and D. Wang}, fauthor = {Chen, Lu-yun and Wang, De-yu}, title = {Structural-acoustic optimization of stiffened panels based on a genetic algorithm}, journal = {Journal of Marine Science and Application}, pages = {55-61}, volume = {6}, issue = {4}, url = {http://dx.doi.org/10.1007/s11804-007-7006-4}, note = {10.1007/s11804-007-7006-4}, year = {2007} } @TECHREPORT{LChen_CSZhang_2007a, author = {L. Chen and C.-S. Zhang}, title = {A coarsening algorithm and multilevel methods on adaptive grids by newest vertex bisection}, institution = {Department of Mathematics, University of California, Irvine}, address = {Irvine, CA 92697-3875}, year = 2007, url = {http://math.uci.edu/$\sim$chenlong/publication.html} } @ARTICLE{ZSChen_GHofstetter_HAMang_1998a, author = {Z. S. Chen and G. Hofstetter and H. A. Mang}, title = {A {G}alerkin-type {BE}-{FE} formulation for elasto-acoustic coupling}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = 1998, pages = {47-155}, volume = 152 } @TECHREPORT{MChen_SMehrotra_DPapp_2012a, author = {M. Chen and S. Mehrotra and D. Papp}, title = {Scenario generation for stochastic optimization problems via the sparse grid method}, institution = {Industrial Engineering and Management Sciences, Northwestern University}, year = {2012}, nore = {available at http://users.iems.northwestern.edu/$~$dpapp/research.html (accessed Jan 14, 2013)} } @article {PChen_AQuarteroni_2013a, AUTHOR = {P. Chen and A. Quarteroni}, FAUTHOR = {Chen, Peng and Quarteroni, Alfio}, TITLE = {Accurate and efficient evaluation of failure probability for partial different equations with random input data}, JOURNAL = {Comput. Methods Appl. Mech. Engrg.}, FJOURNAL = {Computer Methods in Applied Mechanics and Engineering}, VOLUME = {267}, YEAR = {2013}, PAGES = {233--260}, DOI = {10.1016/j.cma.2013.08.016}, URL = {http://dx.doi.org/10.1016/j.cma.2013.08.016}, } @TECHREPORT{PChen_AQuarteroni_2013b, author = {P. Chen and A. Quarteroni}, title = {Weighted reduced basis method for stochastic optimal control problems with elliptic {PDE} constraint}, number = {MATHICSE Technical Report Nr. 32.2013}, institution = {Mathematics Institute of Computational Science and Engineering}, address = {School of Basic Sciences - Section of Mathematics, Ecole Polytechnique F\'ed\'erale de Lausanne}, year = 2013 } @article {PChen_AQuarteroni_2014a, AUTHOR = {P. Chen and A. Quarteroni}, FAUTHOR = {Chen, Peng and Quarteroni, Alfio}, TITLE = {Weighted reduced basis method for stochastic optimal control problems with elliptic {PDE} constraint}, JOURNAL = {SIAM/ASA J. Uncertain. Quantif.}, FJOURNAL = {SIAM/ASA Journal on Uncertainty Quantification}, VOLUME = {2}, YEAR = {2014}, NUMBER = {1}, PAGES = {364--396}, DOI = {10.1137/130940517}, URL = {http://dx.doi.org/10.1137/130940517}, } @article {PChen_AQuarteroni_2015a, AUTHOR = {P. Chen and A. Quarteroni}, FAUTHOR = {Chen, Peng and Quarteroni, Alfio}, TITLE = {A new algorithm for high-dimensional uncertainty quantification based on dimension-adaptive sparse grid approximation and reduced basis methods}, JOURNAL = {J. Comput. Phys.}, FJOURNAL = {Journal of Computational Physics}, VOLUME = {298}, YEAR = {2015}, PAGES = {176--193}, DOI = {10.1016/j.jcp.2015.06.006}, URL = {http://dx.doi.org/10.1016/j.jcp.2015.06.006}, } @TECHREPORT{PChen_AQuarteroni_GRozza_2012a, author = {P. Chen and A. Quarteroni and G. Rozza}, title = {Stochastic optimal {R}obin boundary control problems of advection-dominated elliptic equations}, number = {MATHICSE Technical Report Nr. 23.2012}, institution = {Mathematics Institute of Computational Science and Engineering}, address = {School of Basic Sciences - Section of Mathematics, Ecole Polytechnique F\'ed\'erale de Lausanne}, year = 2012, note = {Revised version 10.2013} } @TECHREPORT{PChen_AQuarteroni_GRozza_2012b, author = {P. Chen and A. Quarteroni and G. Rozza}, title = {Comparison between reduced basis and stochastic collocation methods for elliptic problems}, number = {MATHICSE Technical Report Nr. 34.2012}, institution = {Mathematics Institute of Computational Science and Engineering}, address = {School of Basic Sciences - Section of Mathematics, Ecole Polytechnique F\'ed\'erale de Lausanne}, year = 2012 } @TECHREPORT{PChen_AQuarteroni_GRozza_2013a, author = {P. Chen and A. Quarteroni and G. Rozza}, title = {A weighted reduced basis method for elliptic partial differential equations with random input data}, number = {MATHICSE Technical Report Nr. 04.2013}, institution = {Mathematics Institute of Computational Science and Engineering}, address = {School of Basic Sciences - Section of Mathematics, Ecole Polytechnique F\'ed\'erale de Lausanne}, year = 2013 } @TECHREPORT{PChen_AQuarteroni_GRozza_2013b, author = {P. Chen and A. Quarteroni and G. Rozza}, title = {Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by {S}tokes equations}, number = {MATHICSE Technical Report Nr. 33.2013}, institution = {Mathematics Institute of Computational Science and Engineering}, address = {School of Basic Sciences - Section of Mathematics, Ecole Polytechnique F\'ed\'erale de Lausanne}, year = 2013 } @article {PChen_AQuarteroni_GRozza_2013c, AUTHOR = {P. Chen and A. Quarteroni and G. Rozza}, FAUTHOR = {Chen, Peng and Quarteroni, Alfio and Rozza, Gianluigi}, TITLE = {A weighted reduced basis method for elliptic partial differential equations with random input data}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {51}, YEAR = {2013}, NUMBER = {6}, PAGES = {3163--3185}, DOI = {10.1137/130905253}, URL = {http://dx.doi.org/10.1137/130905253}, } @article {PChen_AQuarteroni_GRozza_2013d, AUTHOR = {P. Chen and A. Quarteroni and G. Rozza}, FAUTHOR = {Chen, Peng and Quarteroni, Alfio and Rozza, Gianluigi}, TITLE = {Stochastic optimal {R}obin boundary control problems of advection-dominated elliptic equations}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {51}, YEAR = {2013}, NUMBER = {5}, PAGES = {2700--2722}, DOI = {10.1137/120884158}, URL = {http://dx.doi.org/10.1137/120884158}, } @article {Chen_AQuarteroni_GRozza_2014a, AUTHOR = {P. Chen and A. Quarteroni and G. Rozza}, FAUTHOR = {Chen, Peng and Quarteroni, Alfio and Rozza, Gianluigi}, TITLE = {A weighted empirical interpolation method: {\it a priori} convergence analysis and applications}, JOURNAL = {ESAIM Math. Model. Numer. Anal.}, FJOURNAL = {ESAIM. Mathematical Modelling and Numerical Analysis}, VOLUME = {48}, YEAR = {2014}, NUMBER = {4}, PAGES = {943--953}, DOI = {10.1051/m2an/2013128}, URL = {http://dx.doi.org/10.1051/m2an/2013128}, } @TECHREPORT{PChen_AQuarteroni_GRozza_2015a, author = {P. Chen and A. Quarteroni and G. Rozza}, title = {Reduced order methods for uncertainty quantification problems}, number = {{SAM} {R}esearch {R}eport 2015-03}, institution = {Seminar f{\"u}r Angewandte Mathematik}, address = {ETH Z{\"u}rich}, year = 2015, } @article {PChen_AQuarteroni_GRozza_2017a, AUTHOR = {P. Chen and A. Quarteroni and G. Rozza}, FAUTHOR = {Chen, Peng and Quarteroni, Alfio and Rozza, Gianluigi}, TITLE = {Reduced basis methods for uncertainty quantification}, JOURNAL = {SIAM/ASA J. Uncertain. Quantif.}, FJOURNAL = {SIAM/ASA Journal on Uncertainty Quantification}, VOLUME = {5}, YEAR = {2017}, NUMBER = {1}, PAGES = {813--869}, URL = {https://doi.org/10.1137/151004550}, } @TECHREPORT{PChen_ChSchwab_2014a, AUTHOR = {P. Chen and Ch. Schwab}, title = {Sparse-Grid, Reduced-Basis {B}ayesian Inversion}, institution = {Seminar f{\"u}r Angewandte Mathematik}, address = {ETH Z{\"u}rich}, type = {{SAM} {R}esearch {R}eport 2014-36}, year = 2014 } @article{PChen_ChSchwab_2015a, author = "P. Chen and Ch. Schwab", fauthor = "Peng Chen and Christoph Schwab", title = "Sparse-grid, reduced-basis Bayesian inversion ", journal = "Computer Methods in Applied Mechanics and Engineering ", volume = "297", number = "", pages = "84 - 115", year = "2015", doi = "10.1016/j.cma.2015.08.006", url = "http://dx.doi.org/10.1016/j.cma.2015.08.006", } @TECHREPORT{PChen_ChSchwab_2015b, AUTHOR = {P. Chen and Ch. Schwab}, title = {Sparse-Grid, Reduced-Basis {B}ayesian Inversion: {N}onaffine-Parametric Nonlinear Equations}, institution = {Seminar f{\"u}r Angewandte Mathematik}, address = {ETH Z{\"u}rich}, type = {{SAM} {R}esearch {R}eport 2015-21}, year = 2015 } @article {GChen_GFu_JRSingler_YZhang_2019a, FAUTHOR = {Chen, Gang and Fu, Guosheng and Singler, John R. and Zhang, Yangwen}, AUTHOR = {G. Chen and G. Fu and J. R. Singler and Y. Zhang}, TITLE = {A class of embedded {DG} methods for {D}irichlet boundary control of convection diffusion {PDE}s}, JOURNAL = {J. Sci. Comput.}, FJOURNAL = {Journal of Scientific Computing}, VOLUME = {81}, YEAR = {2019}, NUMBER = {2}, PAGES = {623--648}, DOI = {10.1007/s10915-019-01043-9}, URL = {https://doi.org/10.1007/s10915-019-01043-9}, } @article {GChen_JRSingler_YZhang_2019a, AUTHOR = {G. Chen and J. R. Singler and Y. Zhang}, TITLE = {An {HDG} {M}ethod for {D}irichlet {B}oundary {C}ontrol of {C}onvection {D}ominated {D}iffusion {PDE}s}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {57}, YEAR = {2019}, NUMBER = {4}, PAGES = {1919--1946}, DOI = {10.1137/18M1208708}, URL = {https://doi.org/10.1137/18M1208708}, } @BOOK{EWCheney_1966, author = {E. W. Cheney}, title = {Introduction to Approximation Theory}, publisher = {McGraw--Hill}, address = {New York, St.Louis, San Francisco, Toronto, London, Sydney}, year = 1966, call-no = {QA 221 C47} } @BOOK{WCheney_2001, AUTHOR = {W. Cheney}, FAUTHOR = {Cheney, Ward}, TITLE = {Analysis for Applied Mathematics}, SERIES = {Graduate Texts in Mathematics}, VOLUME = {208}, PUBLISHER = {Springer-Verlag, New York}, YEAR = {2001}, DOI = {10.1007/978-1-4757-3559-8}, URL = {https://doi.org/10.1007/978-1-4757-3559-8}, } @ARTICLE {MCheney_DIsaacson_JCNewell_1999, AUTHOR = {M. Cheney and D. Isaacson and J. C. 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Sch{\"o}tzau}, FAUTHOR = {Cockburn, Bernardo and Kanschat, Guido and Sch{\"o}tzau, Dominik}, TITLE = {A locally conservative {LDG} method for the incompressible {N}avier-{S}tokes equations}, JOURNAL = {Math. Comp.}, FJOURNAL = {Mathematics of Computation}, VOLUME = {74}, YEAR = {2005}, NUMBER = {251}, PAGES = {1067--1095 (electronic)} } @TECHREPORT{BCockburn_GEKarniadakis_CWShu_1999a, editor = {B. Cockburn and G. E. Karniadakis and C.--W. Shu}, title = {The development of discontinuous {G}alerkin methods}, institution = {IMA--Institute for Mathematics and its Applications}, address = {University of Minnesota, 207 Church Street, Minneapolis, MN 55455--0436}, type = {1662}, year = 1999, note = {http://www.ima.umn.edu/preprints/dec99/dec99.html} } @BOOK{BCockburn_GEKarniadakis_CWShu_2000a, author = {B. Cockburn and G. E. Karniadakis and C.--W. 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Shu}, FAUTHOR = {Cockburn, Bernardo and Shu, Chi-Wang}, TITLE = {The local discontinuous {G}alerkin method for time-dependent convection-diffusion systems}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {35}, YEAR = {1998}, NUMBER = {6}, PAGES = {2440--2463}, DOI = {10.1137/S0036142997316712}, URL = {https://doi.org/10.1137/S0036142997316712}, } @TECHREPORT{BCockburn_CWShu_2000, author = {B. Cockburn and C.--W. Shu}, title = {Discontinuous {G}alerkin Methods}, institution = {Department of Mathematics}, address = {University of Minnesota, 207 Church Street, Minneapolis, MN 55455--0436}, year = 2000, note = {http://www.math.umn.edu/$\sim$cockburn/LectureNotes.html} } @article {BCockburn_CWShu_2001a, AUTHOR = {B. Cockburn and C.--W. Shu}, FAUTHOR = {Cockburn, Bernardo and Shu, Chi-Wang}, TITLE = {{R}unge-{K}utta discontinuous {G}alerkin methods for convection-dominated problems}, JOURNAL = {J. Sci. Comput.}, FJOURNAL = {Journal of Scientific Computing}, VOLUME = {16}, YEAR = {2001}, NUMBER = {3}, PAGES = {173--261}, DOI = {10.1023/A:1012873910884}, URL = {https://doi.org/10.1023/A:1012873910884}, } @article {RCodina_2000a, AUTHOR = {R. Codina}, FAUTHOR = {Codina, Ramon}, TITLE = {Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods}, JOURNAL = {Comput. Methods Appl. Mech. Engrg.}, FJOURNAL = {Computer Methods in Applied Mechanics and Engineering}, VOLUME = {190}, YEAR = {2000}, NUMBER = {13-14}, PAGES = {1579--1599} } @article {RCodina_2001a, AUTHOR = {R. Codina}, FAUTHOR = {Codina, Ramon}, TITLE = {A stabilized finite element method for generalized stationary incompressible flows}, JOURNAL = {Comput. Methods Appl. Mech. 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Chen}, title = {Toward Optimal Control of Aeroacoustic Flows using Discontinuous {G}alerkin Discretizations}, booktitle = {42th Aerospace Science Meeting \& Exhibit, January, 2005, Reno, Nevada, AIAA Paper 2004--364}, year = {2004} } @INPROCEEDINGS{SSCollis_GChen_2005a, author = {S. S. Collis and G. Chen}, title = {Multi-Model Methods for Optimal Control of Aeroacoustics}, booktitle = {43th Aerospace Science Meeting \& Exhibit, January, 2005, Reno, Nevada, AIAA Paper 2005--410}, year = {2005} } @INPROCEEDINGS{SSCollis_KGhayour_MHeinkenschloss_2002a, author = {S. S. Collis and K. Ghayour and M. Heinkenschloss}, title = {Optimal Control of Aeroacoustic Flows: Transpiration Boundary Control}, booktitle = {3rd AIAA Theoretical Fluid Mechanics Meeting, June~24--27, 2002, St. Louis, Missouri, AIAA Paper 2002-2757}, year = {2002}, doi = {10.2514/6.2002-2757}, url = {http://doi.org/10.2514/6.2002-2757}, } @ARTICLE{SSCollis_KGhayour_MHeinkenschloss_2002b, author = {S. S. Collis and K. Ghayour and M. Heinkenschloss}, title = {Optimal Control of Aeroacoustic Noise Generated by Cylinder Vortex Interaction}, journal = {International Journal of Aeroacoustics}, pages = {97--114}, volume = {1}, year = {2002}, doi={10.1260/147547202760236923}, url={http://doi.org/10.1260/147547202760236923}, } @ARTICLE{SSCollis_KGhayour_MHeinkenschloss_2003a, author = {S. S. Collis and K. Ghayour and M. Heinkenschloss}, title = {Optimal Transpiration Boundary Control for Aeroacoustics}, journal = {AIAA Journal}, pages = {1257--1270}, volume = {41}, year = {2003}, doi = {10.2514/2.2094}, url = {http://doi.org/10.2514/2.2094} } @INPROCEEDINGS{SSCollis_KGhayour_MHeinkenschloss_MUlbrich_SUlbrich_2001a, author = {S. S. Collis and K. Ghayour and M. Heinkenschloss and M. Ulbrich and S. Ulbrich}, title = {Towards Adjoint--Based Methods for Aeroacoustic Control}, booktitle = {39th Aerospace Science Meeting \& Exhibit, January 8--11, 2001, Reno, Nevada, AIAA Paper 2001--0821}, year = {2001}, doi = {10.2514/6.2001-821}, url = {http://doi.org/10.2514/6.2001-821} } @ARTICLE{SSCollis_KGhayour_MHeinkenschloss_MUlbrich_SUlbrich_2002a, author = {S. S. Collis and K. Ghayour and M. Heinkenschloss and M. Ulbrich and S. Ulbrich}, title = {Optimal Control of Unsteady Compressible Viscous Flows}, journal = {International Journal for Numerical Methods in Fluids}, pages = {1401--1429}, volume = {40}, number = {11}, year = {2002}, DOI = {10.1002/fld.420}, URL = {http://doi.org/10.1002/fld.420} } @INPROCEEDINGS{SSCollis_KGhayour_MHeinkenschloss_MUlbrich_SUlbrich_2002b, author = {S. S. Collis and K. Ghayour and M. Heinkenschloss and M. Ulbrich and S. Ulbrich}, title = {Numerical Solution of Optimal Control Problems Governed by the Compressible Navier--Stokes Equations}, editors = {K.-H. Hoffmann and I. Lasiecka and G. Leugering and J. Sprekels and F. Tr{\"o}ltzsch}, booktitle = {Optimal Control of Complex Structures}, publisher = {Birkh{\"a}user Verlag}, Series = {International Series of Numerical Mathematics, Vol.~139}, pages = {43--55}, year = {2002}, doi={10.1007/978-3-0348-8148-7_4}, url={http://doi.org/10.1007/978-3-0348-8148-7_4}, } @techreport{SSCollis_MHeinkenschloss_2002a, author = {S. S. Collis and M. Heinkenschloss}, title = {Analysis of the Streamline Upwind/{P}etrov {G}alerkin Method Applied to the Solution of Optimal Control Problems}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University, Houston, TX 77005--1892}, number = {TR02--01}, year = {2002}, url = {http://www.caam.rice.edu/~heinken/mh_publications.html} } @article{SSCollis_RDJoslin_ASeifert_VTheofilis_2004a, author = {S. S. Collis and R. D. Joslin and A. Seifert and V. Theofilis}, fauthor = {S. Scott Collis and Ronald D. 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Dickinson}, TITLE = {Closed-loop control of leading-edge and tip vortices for small {UAV}}, EDITOR = {R. King}, BOOKTITLE = {Active Flow Control. Papers contributed to the Conference Active Flow Control 2006, Berlin, Germany, September 27 to 29, 2006}, PUBLISHER = {Springer Verlag}, SERIES = {Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM), Vol. 95}, YEAR = {2007} } @article {BColson_PMarcotte_GSavard_2007a, AUTHOR = {B. Colson and P. Marcotte and G. Savard}, FAUTHOR = {Colson, Beno\^{\i}t and Marcotte, Patrice and Savard, Gilles}, TITLE = {An overview of bilevel optimization}, JOURNAL = {Ann. Oper. Res.}, FJOURNAL = {Annals of Operations Research}, VOLUME = {153}, YEAR = {2007}, PAGES = {235--256}, DOI = {10.1007/s10479-007-0176-2}, URL = {https://doi.org/10.1007/s10479-007-0176-2}, } @BOOK{DColton_RKress_1983a, author = {D. Colton and R. 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M. and Orban, Dominique and Toint, Philippe L.}, TITLE = {A primal-dual trust-region algorithm for non-convex nonlinear programming}, NOTE = {Studies in algorithmic optimization}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {87}, YEAR = {2000}, NUMBER = {2, Ser. B}, PAGES = {215--249}, DOI = {10.1007/s101070050112}, URL = {https://doi.org/10.1007/s101070050112}, } @ARTICLE{ARConn_NIMGould_ASartenaer_PhLToint_1993, AUTHOR = {A. R. Conn and N. I. M. Gould and A. Sartenaer and Ph. L. Toint}, TITLE = {Global convergence of a class of trust region algorithms for optimization using inexact projections on convex constraints}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {3}, YEAR = {1993}, NUMBER = {1}, PAGES = {164--221}, DOI = {10.1137/0803009}, URL = {https://doi.org/10.1137/0803009}, } @INCOLLECTION{ARConn_NIMGould_ASartenaer_PhLToint_1996, author = {A. R. Conn and N. I. M. Gould and A. Sartenaer and Ph. L. Toint}, title = {On Iterated--Subspace Minimization Methods for Nonlinear Optimization}, booktitle = {Linear and Nonlinear Conjugate Gradient Related Methods}, publisher = {SIAM}, address = {Philadelphia}, editor = {L. Adams and J. L. Nazareth}, year = {1996}, pages = {50--78} } @ARTICLE{ARConn_NIMGould_PhLToint_1988, author = {A. R. Conn and N. I. M. Gould and Ph. L. Toint}, title = {Global Convergence of a Class of Trust Region Algorithms for Optimization with Simple Bounds}, journal = {SIAM J. Numer. Anal.}, year = 1988, pages = {433--460}, volume = 25, note = {See \cite{ARConn_NIMGould_PhLToint_1989}}, keywords = {trust region} } @ARTICLE{ARConn_NIMGould_PhLToint_1988b, author = {A. R. Conn and N. I. M. Gould and Ph. L. Toint}, title = {Testing a Class of Methods for Soling Minimization Problems with Simple Bounds on the variables}, journal = {Mathematics of Computation}, year = 1988, pages = {399--430}, volume = 50, keywords = {trust region} } @ARTICLE{ARConn_NIMGould_PhLToint_1989, author = {A. R. Conn and N. I. M. Gould and Ph. L. Toint}, title = {Correction to the paper on Global Convergence of a Class of Trust Region Algorithms for Optimization with Simple Bounds}, journal = {SIAM J. Numer. Anal.}, year = 1989, pages = {764--767}, volume = 26, keywords = {trust region} } @ARTICLE{ARConn_NIMGould_PhLToint_1991, author = {A. R. Conn and N. I. M. Gould and Ph. L. Toint}, title = {A Globally convergent augmented {L}agrangian algorithm for optimization with general constraints and simple bounds}, journal = {SIAM J. Numer. Anal. }, year = 1991, pages = {545--572}, volume = 28, keywords = {augmented Lagrangian} } @BOOK{ARConn_NIMGould_PhLToint_1992, author = {A. R. Conn and N. I. M. Gould and Ph. L. Toint}, title = {{LANCELOT}: {A} {FORTRAN} package for large scale nonlinear optimization with simple bounds}, publisher = {Springer Verlag}, series = {Springer Series in Computational Mathematics, Vol.~17}, address = {Berlin, Heidelberg, New York}, year = 1992 } @ARTICLE{ARConn_NIMGould_PhLToint_1994, author = {A. R. Conn and N. I. M. Gould and Ph. L. Toint}, title = {A note on using alternative second--order models for the subproblems arising in barrier function methods}, journal = {Numerische Mathematik}, year = 1994, pages = {17--33}, volume = 68, keywords = {barrier functions} } @INPROCEEDINGS{ARConn_NIMGould_PhLToint_1994b, author = {A. R. Conn and N. I. M. Gould and Ph. L. Toint}, title = {Improving the decomposition of partially separable functions in the context of large-scale optimization: A first approach}, booktitle = {Large Scale Optimization: State of the Art}, editor = {W. W. Hager and D. Hearn and P. Pardalos}, publisher = {Kluwer}, papges = {82--94}, year = {1994} } @ARTICLE{ARConn_NIMGould_PhLToint_1997a, author = {A. R. Conn and N. I. M. Gould and Ph. L. Toint}, title = {A globally convergent {L}agrangian barrier algorithm for optimization with general inequality constraints and simple bounds}, journal = {Mathematics of Computation}, year = 1997, pages = {261--288}, volume = 66, } @ARTICLE{ARConn_NIMGould_PhLToint_1997b, author = {A. R. Conn and N. I. M. Gould and Ph. L. Toint}, title = {On the number of inner iterations per outer iteration of a globally convergent algorithm for optimization with general inequality constraints and simple bounds}, journal = {Computational Optimization and Applications}, year = 1997, pages = {41--70}, volume = 7, } @BOOK{ARConn_NIMGould_PhLToint_2000a, AUTHOR = {A. R. Conn and N. I. M. Gould and Ph. L. Toint}, FAUTHOR = {Conn, Andrew R. and Gould, Nicholas I. M. and Toint, Philippe L.}, TITLE = {Trust-Region Methods}, SERIES = {MPS/SIAM Series on Optimization}, PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA; Mathematical Programming Society (MPS), Philadelphia, PA}, YEAR = {2000}, PAGES = {xx+959}, DOI = {10.1137/1.9780898719857}, URL = {https://doi.org/10.1137/1.9780898719857}, } @INCOLLECTION{ARConn_KScheinberg_PhLToint_1997, author = {A. R. Conn and K. Scheinberg and Ph. L. Toint}, title = {On the convergence of derivative-free methods for unconstrained optimization}, editor = {M. D. Buhmann and A. Iserles}, BOOKtitle = {Approximation Theory and Optimization: Tribuites to M. J. D. Powell}, publisher = {Cambridge University Press}, address = {Cambridge, New-York}, pages = {83--108}, year = 1997 } @ARTICLE{ARConn_KScheinberg_PhLToint_1997b, author = {A. R. Conn and K. Scheinberg and Ph. L. Toint}, title = {Recent progress in unconstrained nonlinear optimization without derivatives}, journal = {Mathematical Programming}, volume = {79}, pages = {397--414}, year = 1997 } @BOOK{ARConn_KScheinberg_LNVicente_2009a, AUTHOR = {A. R. Conn and K. Scheinberg and L. N. Vicente}, FAUTHOR = {Conn, Andrew R. and Scheinberg, Katya and Vicente, Luis N.}, TITLE = {Introduction to derivative-free optimization}, SERIES = {MPS/SIAM Series on Optimization}, VOLUME = {8}, PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA; Mathematical Programming Society (MPS), Philadelphia, PA}, YEAR = {2009}, DOI = {10.1137/1.9780898718768}, URL = {https://doi.org/10.1137/1.9780898718768}, } @ARTICLE{ARConn_LNVicente_CVisweswariah_1999a, author = {A. R. Conn and L. N. Vicente and C. Visweswariah}, title = {Two--step algorithms for nonlinear optimization with structured applications}, journal = {SIAM J. 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Delfour}, FAUTHOR = {Delfour, Michel C.}, TITLE = {Introduction to Optimization and {H}adamard Semidifferential calculus}, SERIES = {MOS-SIAM Series on Optimization}, VOLUME = {27}, EDITION = {Second edition}, PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA}, YEAR = {2020}, DOI = {10.1137/1.9781611975963}, URL = {https://doi.org/10.1137/1.9781611975963}, } @incollection {MCDelfour_FTrochu_1978a, AUTHOR = {Delfour, M. C. and Trochu, F.}, TITLE = {Discontinuous finite element methods for the approximation of optimal control problems governed by hereditary differential systems}, BOOKTITLE = {Distributed parameter systems: modelling and identification (Proc. IFIP Working Conf., Rome, 1976)}, PAGES = {256--271. Lecture Notes in Control and Informat. Sci., Vol. 1}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {1978} } @incollection {MCDelfour_JZhao_1999a, AUTHOR = {M. C. Delfour and J. 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C. and Zol{\'e}sio, J.-P.}, FAUTHOR = {Delfour, Michel C. and Zol{\'e}sio, Jean-Paul}, TITLE = {Convergence of the linear {$P(1,1)$} and {$P(2,1)$} thin shells to asymptotic shells}, EDITOR = {M. Fortin}, BOOKTITLE = {Plates and shells ({Q}u\'ebec, {QC}, 1996)}, SERIES = {CRM Proc. Lecture Notes}, VOLUME = {21}, PAGES = {125--158}, PUBLISHER = {Amer. Math. Soc., Providence, RI}, YEAR = {1999}, } @BOOK{MCDelfour_JPZolesio_2001a, author = {M. C. Delfour and J.-P. Zol{\'e}sio}, title = {Shapes and Geometries. Analysis, Differential Calculus, and Optimization}, publisher = {SIAM}, series = {Advances in Design and Control}, address = {Philadelphia}, year = 2001 } @article {MDelgado_JAMontero_ASuarez_2002a, AUTHOR = {Delgado, M. and Montero, J. A. and Su{\'a}rez, A.}, TITLE = {Optimal control for the degenerate elliptic logistic equation}, JOURNAL = {Appl. Math. Optim.}, FJOURNAL = {Applied Mathematics and Optimization. An International Journal with Applications to Stochastics}, VOLUME = {45}, YEAR = {2002}, NUMBER = {3}, PAGES = {325--345} } @article {MDelgado_JAMontero_ASuarez_2003a, AUTHOR = {Delgado, M. and Montero, J. A. and Su{\'a}rez, A.}, TITLE = {Study of the optimal harvesting control and the optimality system for an elliptic problem}, JOURNAL = {SIAM J. Control Optim.}, FJOURNAL = {SIAM Journal on Control and Optimization}, VOLUME = {42}, YEAR = {2003}, NUMBER = {5}, PAGES = {1559--1577 (electronic)} } @book {FdeLimaMarquezino_RPortugal_CLavor_2019a, AUTHOR = {F. {de Lima Marquezino} and R. Portugal and C. Lavor}, FAUTHOR = {de Lima Marquezino, Franklin and Portugal, Renato and Lavor, Carlile}, TITLE = {A Primer on Quantum Computing}, SERIES = {SpringerBriefs in Computer Science}, PUBLISHER = {Springer, Cham}, YEAR = {2019}, DOI = {10.1007/978-3-030-19066-8}, URL = {https://doi.org/10.1007/978-3-030-19066-8}, } @book {JCDeLosReyes_2015a, AUTHOR = {J. C. {De Los Reyes}}, FAUTHOR = {De los Reyes, Juan Carlos}, TITLE = {Numerical {PDE}-Constrained Optimization}, SERIES = {SpringerBriefs in Optimization}, PUBLISHER = {Springer, Cham}, YEAR = {2015}, DOI = {10.1007/978-3-319-13395-9}, URL = {https://doi.org/10.1007/978-3-319-13395-9}, } @article {JCDeLosReyes_CBSchoenlieb_TValkonen_2016a, AUTHOR = {J. C. {De Los Reyes} and C.-B. Sch\"onlieb and T. Valkonen}, TITLE = {The structure of optimal parameters for image restoration problems}, JOURNAL = {J. Math. Anal. Appl.}, FJOURNAL = {Journal of Mathematical Analysis and Applications}, VOLUME = {434}, YEAR = {2016}, NUMBER = {1}, PAGES = {464--500}, DOI = {10.1016/j.jmaa.2015.09.023}, URL = {https://doi.org/10.1016/j.jmaa.2015.09.023}, } @article {JCDeLosReyes_CBSchoenlieb_TValkonen_2017a, AUTHOR = {J. C. {De Los Reyes} and C.-B. Sch\"onlieb and T. Valkonen}, TITLE = {Bilevel parameter learning for higher-order total variation regularisation models}, JOURNAL = {J. Math. Imaging Vision}, FJOURNAL = {Journal of Mathematical Imaging and Vision}, VOLUME = {57}, YEAR = {2017}, NUMBER = {1}, PAGES = {1--25}, DOI = {10.1007/s10851-016-0662-8}, URL = {https://doi.org/10.1007/s10851-016-0662-8}, } @article {JCDeLosReyes_TStykel_2011a, AUTHOR = {J. C. {De Los Reyes} and T. Stykel}, FAUTHOR = {De Los Reyes, Juan Carlos and Stykel, Tatjana}, TITLE = {A balanced truncation-based strategy for optimal control of evolution problems}, JOURNAL = {Optim. Methods Softw.}, FJOURNAL = {Optimization Methods \& Software}, VOLUME = {26}, YEAR = {2011}, NUMBER = {4-5}, PAGES = {671--692}, DOI = {10.1080/10556788.2010.526756}, URL = {http://dx.doi.org/10.1080/10556788.2010.526756}, } @article {TDeLuca_FFacchinei_ChKanzow_2000a, AUTHOR = {T. De Luca and F. Facchinei and Ch. 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Tulowitzki}, title = {Local convergence analysis for successive inexact quadratic programming methods}, number = {SOM Series B \# 78}, institution = {Department of Computer Science, Yale University}, year = {1984} } @INPROCEEDINGS{RSDembo_UTulowitzki_1985, author = {R. S. Dembo and U. Tulowitzki}, title = {Sequential Truncated Quadratic Programming}, booktitle = {Numerical Optimization 1984}, editor= {P. T. Boggs and R. H. Byrd and R. B. Schnabel}, publisher = {SIAM, Philadelphia}, year = {1985}, pages = {83--101} } @article {YDemidovich_GMalinovsky_ISokolov_PRichtarik_2023a, AUTHOR = {Y. Demidovich and G. Malinovsky and I. Sokolov and P. Richt\'{a}rik}, FAUTHOR = {Yury Demidovich and Grigory Malinovsky and Igor Sokolov and Peter Richt\'{a}rik}, TITLE = {A Guide Through the Zoo of Biased SGD}, JOURNAL = { arXiv:2305.16296v1}, YEAR = {2023}, URL = {https://doi.org/10.48550/arXiv.2305.16296}, DOI = {10.48550/arXiv.2305.16296} } @TECHREPORT{LDemkowicz_2006a, author = {L. 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Comput.}, FJOURNAL = {Journal of Scientific Computing}, VOLUME = {66}, YEAR = {2016}, NUMBER = {3}, PAGES = {889--916}, DOI = {10.1007/s10915-015-0048-x}, URL = {https://doi.org/10.1007/s10915-015-0048-x}, } @BOOK{DDenHertog_1994, author = {D. {Den Hertog}}, title = {Interior Point Approach to Linear, Quadratic and Convex Programming}, publisher = {Kluwer Academic Publishers}, address = {Dordrecht, Boston, London}, year = 1994 } @ARTICLE{DDenHertog_CRoos_TTerlaky_1992, author = {D. {Den Hertog} and C. Roos and T. Terlaky}, title = {On the classical logarithmic barrier function method for a class of smooth convex programming problems}, journal = {J. of Optimization Theory and Applications}, year = 1992, pages = {1--25}, volume = {73}, keyword = {interior point} } @article{HDenli_JQSun_2008a, author = "H. Denli and J.Q. Sun", title = "Structural-Acoustic optimization of sandwich cylindrical shells for minimum interior sound transmission", journal = "Journal of Sound and Vibration", volume = "316", number = "1-5", pages = "32 - 49", year = "2008", doi = "10.1016/j.jsv.2008.02.027", url = "http://dx.doi.org/10.1016/j.jsv.2008.02.027" } @INCOLLECTION{JEDennis_1971, author = {J. E. {Dennis, Jr. }}, title = {Toward a unified convergence theory for {N}ewton--like methods}, editor = {L. B. Rall}, BOOKtitle = {Nonlinear Functional and Applications}, publisher = {Academic Press}, address = {New-York}, pages = {425--472}, year = 1971, DOI = {10.1016/B978-0-12-576350-9.50010-2}, URL = {https://doi.org/10.1016/B978-0-12-576350-9.50010-2} } @INCOLLECTION{JEDennis_1977, author = {J. E. {Dennis, Jr. }}, title = {Nonlinear Least Squares and Equations}, editor = {D. Jacobs}, BOOKtitle = {The State of The Art in Numerical Analysis}, publisher = {Academic Press}, address = {London}, pages = {269--312}, year = 1977 } @TECHREPORT{JEDennis_MEl-Alem_MCMaciel_1994, author = {J. E. Dennis and M. El--Alem and M. C. Maciel}, title = {A Global Convergence Theory for General Trust--Region--Based Algorithms for Equality Constrained Optimization}, institution = {Technical Report, Rice University, Houston, TX}, year = 1994, note = {Appeared as \cite{JEDennis_MEl-Alem_MCMaciel_1997}} } @ARTICLE{JEDennis_MEl-Alem_MCMaciel_1997, AUTHOR = {J. E. Dennis and M. El--Alem and M. C. Maciel}, FAUTHOR = {Dennis, Jr., J. E. and El-Alem, Mahmoud and Maciel, Maria C.}, TITLE = {A global convergence theory for general trust-region-based algorithms for equality constrained optimization}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {7}, YEAR = {1997}, NUMBER = {1}, PAGES = {177--207}, DOI = {10.1137/S1052623492238881}, URL = {https://doi.org/10.1137/S1052623492238881}, } @ARTICLE{JEDennis_MEl-Alem_KWilliamson_1999, author = {J. E. Dennis and M. El--Alem and K. Williamson}, title = {A Trust--Region Algorithms for Least--Squares Solutions of Nonlinear Systems of Equalities and Inequalities}, journal = {SIAM J. Optimization}, year = {1999}, pages = {291--315}, volume = {9} } @ARTICLE{JEDennis_DMGay_REWelsch_1981a, author = {J. E. Dennis and D. M. Gay and R. E. Welsch}, title = {An adaptive nonlinear least-squares algorithm}, journal = {ACM Trans. Math. Softw.}, volume = 7, year = 1981, pages = {348--368}, url = {https://doi.org/10.1145/355958.355965}, doi = {10.1145/355958.355965} } @ARTICLE{JEDennis_DMGay_REWelsch_1981b, author = {J. E. Dennis and D. M. Gay and R. E. Welsch}, title = {{A}lgorithm 573 {NL2SOL} -- An adaptive nonlinear least-squares algorithm}, journal = {ACM Trans. Math. Softw.}, volume = 7, year = 1981, pages = {369--383}, url = {https://doi.org/10.1145/355958.355966}, doi = {10.1145/355958.355966}, note = {Fortran code available from \url{http://www.netlib.org/toms/573} (accessed Dec.~18, 2019)} } @ARTICLE{JEDennis_MHeinkenschloss_LNVicente_1998, AUTHOR = {J. E. Dennis and M. Heinkenschloss and L. N. Vicente}, FAUTHOR = {Dennis, J. E. and Heinkenschloss, Matthias and Vicente, Lu{\'{\i}}s N.}, TITLE = {Trust-region interior-point {SQP} algorithms for a class of nonlinear programming problems}, JOURNAL = {SIAM J. Control Optim.}, FJOURNAL = {SIAM Journal on Control and Optimization}, VOLUME = {36}, YEAR = {1998}, NUMBER = {5}, PAGES = {1750--1794}, DOI = {10.1137/S036012995279031}, URL = {http://dx.doi.org/10.1137/S036012995279031} } @ARTICLE{JEDennis_JMMartinez_XZhang_1994, author = {J. E. {Dennis, Jr.} and J. M. Martinez and X. Zhang}, title = {Triangular Decomposition Methods for Solving Reducible Nonlinear Systems of Equations}, journal = {SIAM J. Optimization}, year = 1994, pages = {358--382}, volume = {4} } @ARTICLE{JEDennis_HJMartinez_RATapia_1989, author = {J. E. {Dennis, Jr.} and H. J. Martinez and R. A. Tapia}, title = {Convergence Theory for the Structured {BFGS} secant method with an application to nonlinear least squares}, journal = {J. Optim. Theory Appl.}, year = 1989, pages = {161--178}, volume = {61} } @article {JEDennis_JJMore_1974a, AUTHOR = {J. E. {Dennis, Jr.} and J. J. Mor{\'e}}, TITLE = {A characterization of superlinear convergence and its application to quasi-{N}ewton methods}, JOURNAL = {Math. Comp.}, FJOURNAL = {Mathematics of Computation}, VOLUME = {28}, YEAR = {1974}, PAGES = {549--560} } @ARTICLE{JEDennis_JJMore_1977, AUTHOR = {J. E. {Dennis, Jr.} and J. J. Mor{\'e}}, TITLE = {Quasi-{N}ewton methods, motivation and theory}, JOURNAL = {SIAM Rev.}, FJOURNAL = {SIAM Review. A Publication of the Society for Industrial and Applied Mathematics}, VOLUME = {19}, YEAR = {1977}, NUMBER = {1}, PAGES = {46--89}, DOI = {10.1137/1019005}, URL = {https://doi.org/10.1137/1019005}, } @article {JEDennis_JJMore_1983a, AUTHOR = {J. E. {Dennis, Jr.} and J. J. Mor{\'e}}, TITLE = {Quasi-{N}ewton methods, motivation and theory}, NOTE = {Translated from the English by Wen Yu Sun}, JOURNAL = {Appl. Math. Math. Comput.}, FJOURNAL = {Applied Mathematics \& Mathematics of Computation. Yingyong Shuxue yu Jisuan Shuxue}, YEAR = {1983}, NUMBER = {1}, PAGES = {1--30} } @MISC{JEDennis_DMoore_1999, author = {{FOCUS}: Framework for optimization with constraints, using surrogates}, note = {{\small http://www.caam.rice.edu/$\sim$dougm/focus.html}} } @INPROCEEDINGS{JEDennis_RMLewis_1994, author = {J. E. Dennis and R. M. Lewis}, title = {Problem Formulation and Other Optimization Issues in Mulitdisciplinary Optimization}, booktitle = {AIAA/NASA/USAF/ISSMO Symposium on Fluid Dynamics, AIAA Paper 94--2196}, year = {1994} } @TECHREPORT{JEDennis_RMLewis_1994b, author = {J. E. Dennis and R. M. Lewis}, title = {A Comparison of Nonlinear Programming Approaches to an Elliptic Inverse Problem and a New Domain Decomposition Approach}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University, P.O.Box 1892, Houston, TX 77251--1892}, year = 1994, number = {TR94--33} } @BOOK{JEDennis_RBSchnabel_1983, author = {J. E. {Dennis, Jr. } and R. B. Schnabel}, title = {Numerical Methods for Nonlinear Equations and Unconstrained Optimization}, publisher = {Prentice-Hall}, address = {Englewood Cliffs, N. J}, year = 1983, call-no = {QA402.5 D44 1983}, note = {Republished as \cite{JEDennis_RBSchnabel_1996}} } @BOOK{JEDennis_RBSchnabel_1996, AUTHOR = {J. E. {Dennis, Jr.} and R. B. Schnabel}, TITLE = {Numerical Methods for Unconstrained Optimization and Nonlinear Equations}, SERIES = {Classics in Applied Mathematics}, VOLUME = {16}, NOTE = {Corrected reprint of the 1983 original}, PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA}, YEAR = {1996}, DOI = {10.1137/1.9781611971200}, URL = {https://doi.org/10.1137/1.9781611971200}, } @ARTICLE{JEDennis_VTorczon_1991, author = {J. E. Dennis and V. Torczon}, title = {Direct Search Methods on Parallel Machines}, journal = {SIAM J. Optimization}, pages = {448--474}, year = {1991} } @INPROCEEDINGS{JEDennis_VTorczon_1994, author = {J. E. Dennis and V. Torczon}, title = {Derivative--Free Pattern Search Methods for Multidisciplinary Design Optimization}, booktitle = {Proceedings from the AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, AIAA Paper 94--4334}, year = {1994} } @TECHREPORT{JEDennis_VTorczon_1995a, author = {J. E. Dennis and V. Torczon}, title = {Managing Approximation Models in Optimization}, number = {CRPC--TR95550}, institution = {Center for Research on Parallel Computation, Rice University}, year = {1995}, note = {Electronically availabe as softlib.rice.edu/pub/CRPC-TRs/reports/CRPC-TR95550.pdf. Appeared as \cite{JEDennis_VTorczon_1997}} } @INPROCEEDINGS{JEDennis_VTorczon_1996, author = {J. E. Dennis and V. Torczon}, title = {Approximation model managemet for optimization}, booktitle = {Proceedings from the AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Work-in-progress Paper AIAA--96--4099-CP}, pages = {1044--1046}, year = {1996} } @INPROCEEDINGS{JEDennis_VTorczon_1997, author = {J. E. Dennis and V. Torczon}, title = {Managing Approximation Models in Optimization}, editor = {N. Alexandrov and M. Y. Hussaini}, booktitle = {Multidisciplinary Design Optimization. State of the Art}, publisher = {SIAM}, address = {Philadelphia}, pages = {330--347}, year = {1997} } @techreport{JEDennis_JFTraub_RPWeber_1971a, fauthor={Dennis Jr, John E and Traub, Joseph Frederick and Weber, Robert Philip}, author={J. E. {Dennis Jr.} and J. F. Traub and R. P. Weber}, title={On the Matrix Polynomial, Lamda-Matrix and Block Eigenvalue Problems}, year={1971}, number = {CMU-CS-71-110}, institution={Computer Science Department, Carnegie Mellon University} } @article {JEDennis_JFTraub_RPWeber_1976a, FAUTHOR = {Dennis Jr, John E and Traub, Joseph Frederick and Weber, Robert Philip}, AUTHOR = {J. E. {Dennis Jr.} and J. F. Traub and R. P. Weber}, TITLE = {The algebraic theory of matrix polynomials}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {13}, YEAR = {1976}, NUMBER = {6}, PAGES = {831--845}, DOI = {10.1137/0713065} } @article {JEDennis_JFTraub_RPWeber_1978a, FAUTHOR = {Dennis Jr, John E and Traub, Joseph Frederick and Weber, Robert Philip}, AUTHOR = {J. E. {Dennis Jr.} and J. F. Traub and R. P. Weber}, TITLE = {Algorithms for solvents of matrix polynomials}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {15}, YEAR = {1978}, NUMBER = {3}, PAGES = {523--533}, DOI = {10.1137/0715034} } @ARTICLE{JEDennis_KTurner_1987, author = {J. E. {Dennis, Jr. } and K. Turner}, title = {Generalized Conjugate Directions}, journal = {Linear Algebra Appl. }, year = 1987, pages = {187--209}, volume = {88/89} } @TECHREPORT{JEDennis_LNVicente_1994a, author = {J. E. Dennis and L. N. Vicente}, title = {On the convergence theory of general trust--region--based algorithms for equality--constrained optimization}, number = {TR94--36}, institution = {Department of Computational and Applied Mathematics, Rice University}, year = {1994}, note = {Appeared as \cite{JEDennis_LNVicente_1997}} } @TECHREPORT{JEDennis_LNVicente_1994b, author = {J. E. Dennis and L. N. Vicente}, title = {Trust--region interior--point algorithms for minimization problems with simple bounds}, number = {TR94--42}, institution = {Department of Computational and Applied Mathematics, Rice University}, year = {1994}, note = {Appeared as \cite{JEDennis_LNVicente_1996}} } @INPROCEEDINGS{JEDennis_LNVicente_1996, author = {J. E. Dennis and L. N. Vicente}, title = {Trust-region interior-point algorithms for minimization methods with simple bounds}, editor = {H. Fischer and B. Riedm\"uller and S. Sch\"affler}, booktitle = {Applied Mathematics and Parallel Computing, Festschrift for Klaus Ritter}, publisher = {Physica-Verlag}, address = {Heidelberg}, pages = {97--107}, year = {1996}, note = {{\small http://www.mat.uc.pt/$\sim$lvicente/papers/papers.html}} } @ARTICLE{JEDennis_LNVicente_1997, AUTHOR = {J. E. Dennis and L. N. Vicente}, FAUTHOR = {Dennis, J. E. and Vicente, Lu{\'{\i}}s N.}, TITLE = {On the convergence theory of trust-region-based algorithms for equality-constrained optimization}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {7}, YEAR = {1997}, NUMBER = {4}, PAGES = {927--950}, DOI = {10.1137/S1052623494276026}, URL = {http://dx.doi.org/10.1137/S1052623494276026} } @ARTICLE{JEDennis_HFWalker_1981, author = {J. E. Dennis and H. F. Walker}, title = {Convergence theorems for least change secant update methods}, journal = {SIAM J. Numer. Anal.}, year = 1981, volume = 18, pages = {949-987} } @INCOLLECTION{JEDennis_HFWalker_1984, author = {J. E. Dennis and H. F. Walker}, title = {Inaccuracy in quasi-{N}ewton methods: {L}ocal improvement theorems}, year=1984, booktitle={Mathematical Programming Study 22: Mathematical Programming at Oberwolfach II}, pages={70--85}, publisher={North--Holland}, address={Amsterdam}, doi={10.1007/BFb0121009}, url={http://dx.doi.org/10.1007/BFb0121009} } @ARTICLE{JEDennis_HFWalker_1985, author = {J. E. Dennis and H. F. Walker}, title ={Least-change sparse secant updates with inaccurate secant conditions}, journal = {SIAM J. Numer. Anal.}, year = 1985, volume = 22, pages = {760-778} } @article {DDentcheva_YLin_2022a, AUTHOR = {D. Dentcheva and Y. Lin}, FAUTHOR = {Dentcheva, Darinka and Lin, Yang}, TITLE = {Bias reduction in sample-based optimization}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {32}, YEAR = {2022}, NUMBER = {1}, PAGES = {130--151}, DOI = {10.1137/20M1326428}, URL = {https://doi.org/10.1137/20M1326428}, } @article {DDentcheva_GMartinez_2013a, AUTHOR = {D. Dentcheva and G. Martinez}, FAUTHOR = {Dentcheva, Darinka and Martinez, Gabriela}, TITLE = {Regularization methods for optimization problems with probabilistic constraints}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming}, VOLUME = {138}, YEAR = {2013}, NUMBER = {1-2, Ser. A}, PAGES = {223--251}, DOI = {10.1007/s10107-012-0539-6}, URL = {https://doi.org/10.1007/s10107-012-0539-6}, } @article {DDentcheva_SPenev_ARuszczynski_2017a, AUTHOR = {D. Dentcheva and S. Penev and A. Ruszczy\'{n}ski}, FAUTHOR = {Dentcheva, Darinka and Penev, Spiridon and Ruszczy\'{n}ski, Andrzej}, TITLE = {Statistical estimation of composite risk functionals and risk optimization problems}, JOURNAL = {Ann. Inst. Statist. Math.}, FJOURNAL = {Annals of the Institute of Statistical Mathematics}, VOLUME = {69}, YEAR = {2017}, NUMBER = {4}, PAGES = {737--760}, DOI = {10.1007/s10463-016-0559-8}, URL = {https://doi.org/10.1007/s10463-016-0559-8}, } @article {DDentcheva_ARuszczynski_2003a, AUTHOR = {D. Dentcheva and A. Ruszczy\'{n}ski}, FAUTHOR = {Dentcheva, Darinka and Ruszczy\'{n}ski, Andrzej}, TITLE = {Optimization with stochastic dominance constraints}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {14}, YEAR = {2003}, NUMBER = {2}, PAGES = {548--566}, DOI = {10.1137/S1052623402420528}, URL = {https://doi.org/10.1137/S1052623402420528}, } @article {DDentcheva_ARuszczynski_2014a, AUTHOR = {D. Dentcheva and A. Ruszczy\'{n}ski}, FAUTHOR = {Dentcheva, Darinka and Ruszczy\'{n}ski, Andrzej}, TITLE = {Risk preferences on the space of quantile functions}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming}, VOLUME = {148}, YEAR = {2014}, NUMBER = {1-2, Ser. B}, PAGES = {181--200}, DOI = {10.1007/s10107-013-0724-2}, URL = {https://doi.org/10.1007/s10107-013-0724-2}, } @article {DDentcheva_ARuszczynski_2018a, AUTHOR = {D. Dentcheva and A. Ruszczy\'{n}ski}, FAUTHOR = {Dentcheva, Darinka and Ruszczy\'{n}ski, Andrzej}, TITLE = {Time-coherent risk measures for continuous-time {M}arkov chains}, JOURNAL = {SIAM J. Financial Math.}, FJOURNAL = {SIAM Journal on Financial Mathematics}, VOLUME = {9}, YEAR = {2018}, NUMBER = {2}, PAGES = {690--715}, DOI = {10.1137/16M1063794}, URL = {https://doi.org/10.1137/16M1063794}, } @article {DDentcheva_ARuszczynski_2020a, AUTHOR = {D. Dentcheva and S. Penev and A. Ruszczy\'{n}ski}, FAUTHOR = {Dentcheva, Darinka and Ruszczy\'{n}ski, Andrzej}, TITLE = {Risk forms: representation, disintegration, and application to partially observable two-stage systems}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming}, VOLUME = {181}, YEAR = {2020}, NUMBER = {2, Ser. 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Vidyasagar}, FAUTHOR = {Desoer, Charles A. and Vidyasagar, M.}, TITLE = {Feedback systems: {I}nput-output properties}, SERIES = {Classics in Applied Mathematics}, VOLUME = {55}, NOTE = {Reprint of the 1975 original}, PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA}, YEAR = {2009}, DOI = {10.1137/1.9780898719055}, URL = {http://dx.doi.org/10.1137/1.9780898719055}, } @article {HDeSterck_RDFalgout_SFriedhoff_OAKrzysik_SPMacLachlan_2020a, AUTHOR = {H. {De Sterck} and R. D. Falgout and S. Friedhoff and O. A. Krzysik and S. P. MacLachlan}, FAUTHOR = {Hans {De Sterck} and Robert D. Falgout and Stephanie Friedhoff and Oliver A. Krzysik and Scott P. MacLachlan}, TITLE = {Optimizing {MGRIT} and Parareal coarse-grid operators for linear advection}, JOURNAL = {1910.03726v2}, YEAR = {2020}, URL = {http://arxiv.org/abs/1910.03726}, } @article {EDeSturler_1999a, AUTHOR = {E. {De Sturler}}, TITLE = {Truncation strategies for optimal {K}rylov subspace methods}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {36}, YEAR = {1999}, NUMBER = {3}, PAGES = {864--889 (electronic)} } @article {PhDestuynder_1981a, AUTHOR = {Ph. Destuynder}, TITLE = {M\'ethode d'\'el\'ements finis pour le mod\`ele des plaques en flexion de {N}aghdi-{R}eissner}, JOURNAL = {RAIRO Anal. Num\'er.}, FJOURNAL = {RAIRO Analyse Num\'erique}, VOLUME = {15}, YEAR = {1981}, NUMBER = {3}, PAGES = {201--230} } @book {PhDestuynder_MSalaun_1996a, AUTHOR = {Ph. Destuynder and M. Sala{\"u}n}, FAUTHOR = {Destuynder, Philippe and Salaun, Michel}, TITLE = {Mathematical analysis of thin plate models}, SERIES = {Math\'ematiques \& Applications (Berlin) [Mathematics \& Applications]}, VOLUME = {24}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {1996} } @article {PhDestuynder_MSalaun_1998a, AUTHOR = {Ph. Destuynder and M. Sala{\"u}n}, FAUTHOR = {Destuynder, Philippe and Salaun, Michel}, TITLE = {Approximation of shell geometry for nonlinear analysis}, JOURNAL = {Comput. Methods Appl. Mech. Engrg.}, FJOURNAL = {Computer Methods in Applied Mechanics and Engineering}, VOLUME = {156}, YEAR = {1998}, NUMBER = {1-4}, PAGES = {111--148} } @article {PhDestuynder_MSalaun_1998b, AUTHOR = {Ph. Destuynder and M. Sala{\"u}n}, FAUTHOR = {Destuynder, Philippe and Salaun, Michel}, TITLE = {Approximation of shell geometry for non-linear analysis}, JOURNAL = {Comput. Methods Appl. Mech. Engrg.}, FJOURNAL = {Computer Methods in Applied Mechanics and Engineering}, VOLUME = {152}, YEAR = {1998}, NUMBER = {3-4}, PAGES = {393--430} } @ARTICLE{PDeuflhard_1974, author = {P. Deuflhard}, title ={A Modified {N}ewton method for the solution of Ill-Conditioned Systems of Nonlinear Equations with Applications to Multiple Shooting}, journal = {Numer. Math.}, year = 1974, volume = 22, pages = {289--315} } @INPROCEEDINGS{PDeuflhard_1979, author = {P. Deuflhard}, title = {Nonlinear Equation Solvers in Boundary Value Problem Codes}, booktitle = {Codes for Boundary-Value Problems in Ordinary Differential Equations}, editor= {B. Childs}, publisher = {Springer Lecture Notes in Computer Science, Vol.~76}, pages = {40--66}, year = 1979 } @INPROCEEDINGS{PDeuflhard_1990, author = {P. Deuflhard}, title = {Uniqueness theorems for stiff {ODE} initial value problems}, booktitle = {Numerical Analysis 1989}, editor= {D. F. Griffith and G. A. Watson}, publisher = {Pitman Research Notes Mathematics, Vol.~228}, pages = {74--89}, year = 1990 } @ARTICLE{PDeuflhard_1991, author = {P. Deuflhard}, title ={Global Inexact {N}ewton Methods for Very Large Scale Nonlinear Problems}, journal = {Impact of Computing in Science and Engineering}, year = 1991, volume = 4, pages = {366--393} } @TECHREPORT{PDeuflhard_1993a, author = {P. Deuflhard}, title = {A Study of {L}anczos--Type Iterations for Symmetric Indefinite Linear Systems}, institution = {Konrad--Zuse--Zentrum f{\"u}r Informationstechnik Berlin (ZIB)}, address = {Heilbronner Str. 10, D--10711 Berlin (Wilmersdorf)}, type = {Preprint {SC} 93-6}, year = 1993 } @TECHREPORT{PDeuflhard_1993b, author = {P. Deuflhard}, title = {Cascadic Conjugate Gradient Methods for Elliptic Partial Differential Equations I. Algorithm and Numerical Results}, institution = {Konrad--Zuse--Zentrum f{\"u}r Informationstechnik Berlin (ZIB)}, address = {Heilbronner Str. 10, D--10711 Berlin (Wilmersdorf)}, type = {Preprint {SC} 93-23}, year = 1993 } @book {PDeuflhard_2004a, AUTHOR = {P. Deuflhard}, TITLE = {Newton Methods for Nonlinear Problems. {A}ffine Invariance and Adaptive Algorithms}, SERIES = {Springer Series in Computational Mathematics}, VOLUME = {35}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {2004} } @book {PDeuflhard_2005a, AUTHOR = {P. Deuflhard}, TITLE = {Newton Methods for Nonlinear Problems. {A}ffine Invariance and Adaptive Algorithms}, SERIES = {Springer Series in Computational Mathematics}, VOLUME = {35}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {2005}, NOTE = {Second Printing} } @book {PDeuflhard_2011a, AUTHOR = {P. Deuflhard}, FAUTHOR = {Deuflhard, Peter}, TITLE = {Newton Methods for Nonlinear Problems. {A}ffine Invariance and Adaptive Algorithms}, SERIES = {Springer Series in Computational Mathematics}, VOLUME = {35}, NOTE = {First softcover printing of the 2006 corrected printing}, PUBLISHER = {Springer, Heidelberg}, YEAR = {2011}, DOI = {10.1007/978-3-642-23899-4}, URL = {https://doi.org/10.1007/978-3-642-23899-4} } @INCOLLECTION{PDeuflhard_VApostulescu_1980, author = {P. Deuflhard and V. Apostulescu}, title = {A Study of the {G}auss--{N}ewton Algorithm for the Solution of Nonlinear Least Squares Problems}, editor = {J. Frehse and D. Pallaschke and U. Trottenberg}, booktitle = {Special Topics of Applied Mathematics}, publisher = {North Holland}, address = {Amsterdam, New York}, pages = {129--150}, year = 1980 } @BOOK{PDeuflhard_FBornemann_2002a, author = {P. Deuflhard and F. Bornemann}, title = {Numerische Mathematik {II}. 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R. and Stenberg, Rolf}, TITLE = {Stabilized finite element methods}, EDITOR = {M. D. Gunzburger and R. A. Nicolaides}, BOOKTITLE = {Incompressible computational fluid dynamics: trends and advances}, PAGES = {87--107}, PUBLISHER = {Cambridge Univ. Press, Cambridge}, NOTE = {Reprint of the 1993 original}, YEAR = {2008}, } @article{VFrancois-Lavet_PHenderson_RIslam_MGBellemare_JPineau_2018a, fauthor = {Vincent Francois-Lavet and Peter Henderson and Riashat Islam and Marc G. Bellemare and Joelle Pineau}, author = {V. Francois-Lavet and P. Henderson and R. Islam and M. G. Bellemare and J. Pineau}, title = {An Introduction to Deep Reinforcement Learning}, journal = {Foundations and Trends(R) in Machine Learning}, year = {2018}, volume = {11}, number = {3-4}, pages = {219-354}, doi = {10.1561/2200000071}, url = {http://doi.org/10.1561/2200000071} } @INCOLLECTION{MFrangos_YMarzouk_KWillcox_BvanBloemenWaanders_2011, author = {M. Frangos and Y. Marzouk and K. 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Manzoni}, FAUTHOR = {Fresca, Stefania and Ded{'e}, Luca and Manzoni, Andrea}, TITLE = {A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized {PDE}s}, JOURNAL = {J. Sci. Comput.}, FJOURNAL = {Journal of Scientific Computing}, VOLUME = {87}, YEAR = {2021}, NUMBER = {2}, PAGES = {Paper No. 61, 36}, DOI = {10.1007/s10915-021-01462-7}, URL = {https://doi.org/10.1007/s10915-021-01462-7}, } @article {SFresca_AManzoni_2022a, AUTHOR = {S. Fresca and A. Manzoni}, AUTHOR = {Fresca, Stefania and Manzoni, Andrea}, TITLE = {P{OD}-{DL}-{ROM}: enhancing deep learning-based reduced order models for nonlinear parametrized {PDE}s by proper orthogonal decomposition}, JOURNAL = {Comput. Methods Appl. Mech. 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Gander}, title = {Time Parallel Time Integration}, institution = {Section de Math\'ematiques, Universit\'e de Genve}, address = {2-4 rue du Lievre, CP 64, CH-1211 Geneve}, note = {Lecture Notes}, month = {November}, year = 2018 } @book {WGander_MJGander_FKwok_2014a, AUTHOR = {W. Gander and M. J. Gander and F. Kwok}, FAUTHOR = {Gander, Walter and Gander, Martin J. and Kwok, Felix}, TITLE = {Scientific computing. {A}n introduction using {M}aple and {MATLAB}}, SERIES = {Texts in Computational Science and Engineering}, VOLUME = {11}, PUBLISHER = {Springer, Cham}, YEAR = {2014}, DOI = {10.1007/978-3-319-04325-8}, URL = {https://doi.org/10.1007/978-3-319-04325-8}, } @incollection {WGander_GHGolub_1997a, AUTHOR = {W. Gander and G. H. 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Zulehner}, BOOKTITLE = {Domain decomposition methods in science and engineering {XVII}}, SERIES = {Lect. Notes Comput. Sci. Eng.}, VOLUME = {60}, PAGES = {45--56}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {2008}, DOI = {10.1007/978-3-540-75199-1_4}, URL = {http://dx.doi.org/10.1007/978-3-540-75199-1_4}, } @article {MJGander_EHairer_2014a, AUTHOR = {M. J. Gander and E. Hairer}, FAUTHOR = {Gander, Martin J. and Hairer, Ernst}, TITLE = {Analysis for parareal algorithms applied to {H}amiltonian differential equations}, JOURNAL = {J. Comput. Appl. Math.}, FJOURNAL = {Journal of Computational and Applied Mathematics}, VOLUME = {259}, YEAR = {2014}, NUMBER = {part A}, PAGES = {2--13}, DOI = {10.1016/j.cam.2013.01.011}, URL = {https://doi.org/10.1016/j.cam.2013.01.011}, } @article {MJGander_LHalpern_2005a, AUTHOR = {M. J. Gander and L. 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J. and Halpern, L. and Japhet, C.}, TITLE = {Optimized {S}chwarz algorithms for coupling convection and convection-diffusion problems}, BOOKTITLE = {Domain decomposition methods in science and engineering (Lyon, 2000)}, SERIES = {Theory Eng. Appl. Comput. Methods}, PAGES = {255--262}, PUBLISHER = {Internat. Center Numer. Methods Eng. (CIMNE), Barcelona}, YEAR = {2002} } @INPROCEEDINGS{MJGander_LHalpern_CJaphet_VMartin_2007a, author = {M. J. Gander and L. Halpern and C. Japhet and V. Martin}, title = {Advection Diffusion Problems with Pure Advection Approximation in Subregions}, editor = {O. Widlund and D. Keyes}, booktitle = {Domain Decomposition Methods in Science and Engineering XVI}, publisher= {Springer-Verlag}, address = {Heidelberg}, series = {Lecture Notes in Computational Science and Engineering, Vol.~55}, year = {2007}, pages = {xx--yy} } @article {MJGander_LHalpern_FNataf_2003a, AUTHOR = {Gander, M. J. and Halpern, L. and Nataf, F.}, FAUTHOR = {Gander, Martin J. and Halpern, Laurence and Nataf, Fr{\'e}d{\'e}ric}, TITLE = {Optimal {S}chwarz waveform relaxation for the one dimensional wave equation}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {41}, YEAR = {2003}, NUMBER = {5}, PAGES = {1643--1681 (electronic)} } @incollection {MJGander_FKwok_2016a, AUTHOR = {M. J. Gander and F. Kwok}, FAUTHOR = {Gander, Martin J. and Kwok, Felix}, TITLE = {Schwarz Methods for the Time-Parallel Solution of Parabolic Control Problems}, EDITOR = {Th. Dickopf and M. J. Gander and L. Halpern and R. Krause and L. F. Pavarino}, BOOKTITLE = {Domain decomposition methods in science and engineering {XXII}}, SERIES = {Lect. Notes Comput. Sci. 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E. Gill and W. Murray and M. A. Saunders}, FAUTHOR = {Gill, Philip E. and Murray, Walter and Saunders, Michael A.}, TITLE = {{SNOPT}: an {SQP} algorithm for large-scale constrained optimization}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {12}, YEAR = {2002}, NUMBER = {4}, PAGES = {979--1006}, DOI = {10.1137/S1052623499350013}, URL = {https://doi.org/10.1137/S1052623499350013}, } @article {PEGill_WMurray_MASaunders_2005a, AUTHOR = {P. E. Gill and W. Murray and M. A. Saunders}, FAUTHOR = {Gill, Philip E. and Murray, Walter and Saunders, Michael A.}, TITLE = {{SNOPT}: an {SQP} algorithm for large-scale constrained optimization}, JOURNAL = {SIAM Rev.}, FJOURNAL = {SIAM Review}, VOLUME = {47}, YEAR = {2005}, NUMBER = {1}, PAGES = {99--131}, DOI = {10.1137/S0036144504446096}, URL = {https://doi.org/10.1137/S0036144504446096}, } @incollection {PEGill_WMurray_MASaunders_MHWright_1982a, AUTHOR = {P. E. Gill and W. Murray and M. A. Saunders and M. H. Wright}, FAUTHOR = {Gill, Philip E. and Murray, Walter and Saunders, Michael A. and Wright, Margaret H.}, TITLE = {Linearly constrained optimization}, EDITOR = {M. J. D. Powell}, BOOKTITLE = {Nonlinear optimization, 1981 ({C}ambridge, 1981)}, SERIES = {NATO Conference Series II: Systems Science}, PAGES = {123--139}, PUBLISHER = {Academic Press}, ADDRESS = {London}, YEAR = {1982} } @article {PEGill_WMurray_MASaunders_MHWright_1982b, AUTHOR = {P. E. Gill and W. Murray and M. A. Saunders and M. H. Wright}, FAUTHOR = {Gill, Philip E. and Murray, Walter and Saunders, Michael A. and Wright, Margaret H.}, TITLE = {Sparse matrix methods in optimization}, JOURNAL = {SIAM J. Sci. Statist. Comput.}, FJOURNAL = {Society for Industrial and Applied Mathematics. Journal on Scientific and Statistical Computing}, VOLUME = {5}, YEAR = {1984}, NUMBER = {3}, PAGES = {562--589}, DOI = {10.1137/0905041}, URL = {https://doi.org/10.1137/0905041}, } @TECHREPORT{PEGill_WMurray_MASaunders_MHWright_1986a, author = {P. E. Gill and W. Murray and M. A. Saunders and M. H. Wright}, TITLE = {Some theoretical properties of an augmented {L}agrangian merit function}, number = {SOL 86-6R}, institution = {Systems Optimization Laboratory, Department of Operations Research, Stanford University}, address = {Stanford, CA}, year = 1986, note = {appeared as \cite{PEGill_WMurray_MASaunders_MHWright_1992a}} } @article {PEGill_WMurray_MASaunders_MHWright_1987a, AUTHOR = {P. E. Gill and W. Murray and M. A. Saunders and M. H. Wright}, FAUTHOR = {Gill, Philip E. and Murray, Walter and Saunders, Michael A. and Wright, Margaret H.}, TITLE = {Maintaining {$LU$} factors of a general sparse matrix}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {88/89}, YEAR = {1987}, PAGES = {239--270}, DOI = {10.1016/0024-3795(87)90112-1}, URL = {https://doi.org/10.1016/0024-3795(87)90112-1}, } @TECHREPORT{PEGill_WMurray_MASaunders_MHWright_1987b, AUTHOR = {P. E. Gill and W. Murray and M. A. Saunders and M. H. Wright}, FAUTHOR = {Gill, Philip E. and Murray, Walter and Saunders, Michael A. and Wright, Margaret H.}, TITLE = {A {S}chur-complement method for sparse quadratic programming}, number = {SOL 87-12}, institution = {Systems Optimization Laboratory, Department of Operations Research, Stanford University}, address = {Stanford, CA}, year = 1987, note = {appeared as \cite{PEGill_WMurray_MASaunders_MHWright_1990a}} } @article {PEGill_WMurray_MASaunders_MHWright_1989a, AUTHOR = {P. E. Gill and W. Murray and M. A. Saunders and M. H. Wright}, FAUTHOR = {Gill, Philip E. and Murray, Walter and Saunders, Michael A. and Wright, Margaret H.}, TITLE = {A practical anti-cycling procedure for linearly constrained optimization}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {45}, YEAR = {1989}, NUMBER = {3, (Ser. B)}, PAGES = {437--474}, DOI = {10.1007/BF01589114}, URL = {https://doi.org/10.1007/BF01589114}, } @incollection {PEGill_WMurray_MASaunders_MHWright_1990a, AUTHOR = {P. E. Gill and W. Murray and M. A. Saunders and M. H. Wright}, FAUTHOR = {Gill, Philip E. and Murray, Walter and Saunders, Michael A. and Wright, Margaret H.}, TITLE = {A {S}chur-complement method for sparse quadratic programming}, EDITOR = {Cox, M. G. and Hammarling, S.}, BOOKTITLE = {Reliable numerical computation}, SERIES = {Oxford Sci. Publ.}, PAGES = {113--138}, PUBLISHER = {Oxford Univ. Press, New York}, YEAR = {1990}, } @INCOLLECTION{PEGill_WMurray_MASaunders_MHWright_1992a, AUTHOR = {P. E. Gill and W. Murray and M. A. Saunders and M. H. Wright}, TITLE = {Some theoretical properties of an augmented {L}agrangian merit function}, BOOKTITLE = {Advances in optimization and parallel computing. Honorary volume on the occasion of J. B. Rosen's 70th birthday}, EDITOR = {Pardalos, Panos M.}, PUBLISHER = {North-Holland Publishing Co.}, ADDRESS = {Amsterdam}, YEAR = {1992}, PAGES = {101--128} } @book {PEGill_WMurray_MHWright_1981a, AUTHOR = {P. E. Gill and W. Murray and M. H. Wright}, FAUTHOR = {Gill, Philip E. and Murray, Walter and Wright, Margaret H.}, TITLE = {Practical Optimization}, PUBLISHER = {Academic Press Inc. [Harcourt Brace Jovanovich Publishers]}, ADDRESS = {London}, YEAR = {1981}, NOTE = {republished as \cite{PEGill_WMurray_MHWright_2019a}} } @book {PEGill_WMurray_MHWright_1991a, AUTHOR = {P. E. Gill and W. Murray and M. H. Wright}, FAUTHOR = {Gill, Philip E. and Murray, Walter and Wright, Margaret H.}, TITLE = {Numerical Linear Algebra and Optimization. {V}ol.\ 1}, PUBLISHER = {Addison-Wesley Publishing Company Advanced Book Program}, ADDRESS = {Redwood City, CA}, YEAR = {1991} } @book {PEGill_WMurray_MHWright_2019a, AUTHOR = {P. E. Gill and W. Murray and M. H. Wright}, FAUTHOR = {Gill, Philip E. and Murray, Walter and Wright, Margaret H.}, TITLE = {Practical Optimization}, SERIES = {Classics in Applied Mathematics}, VOLUME = {81}, PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA}, YEAR = {2019}, URL = {https://doi.org/10.1137/1.9781611975604}, DOI = {10.1137/1.9781611975604} } @book {PEGill_WMurray_MHWright_2021a, AUTHOR = {P. E. Gill and W. Murray and M. H. Wright}, FAUTHOR = {Gill, Philip E. and Murray, Walter and Wright, Margaret H.}, TITLE = {Numerical Linear Algebra and Optimization}, SERIES = {Classics in Applied Mathematics}, VOLUME = {83}, PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA}, YEAR = {2021}, DOI = {10.1137/1.9781611976571}, URL = {https://doi.org/10.1137/1.9781611976571}, } @article{PEGill_EWong_2015a, FAUTHOR = {Philip E. Gill and Elizabeth Wong}, AUTHOR = {P. E. Gill and E. Wong}, TITLE = {Methods for convex and general quadratic programming}, JOURNAL = {Math. Prog. Comp.}, FJOURNAL = {Mathematical Programming Computation}, PAGES = {71-112}, VOLUME = {7}, ISSUE = {1}, YEAR = {2015}, DOI = {10.1007/s12532-014-0075-x}, URL = {http://dx.doi.org/10.1007/s12532-014-0075-x} } @article {DTGillespie_1976a, AUTHOR = {D. T. Gillespie}, FAUTHOR = {Gillespie, Daniel T.}, TITLE = {A general method for numerically simulating the stochastic time evolution of coupled chemical reactions}, JOURNAL = {J. Computational Phys.}, FJOURNAL = {Journal of Computational Physics}, VOLUME = {22}, YEAR = {1976}, NUMBER = {4}, PAGES = {403--434} } @article {DTGillespie_1977a, AUTHOR = {D. T. Gillespie}, FAUTHOR = {Gillespie, Daniel T.}, TITLE = {Concerning the validity of the stochastic approach to chemical kinetics}, JOURNAL = {J. Statist. Phys.}, FJOURNAL = {Journal of Statistical Physics}, VOLUME = {16}, YEAR = {1977}, NUMBER = {3}, PAGES = {311--318} } @article {DTGillespie_1977b, AUTHOR = {D. T. Gillespie}, FAUTHOR = {Gillespie, Daniel T.}, TITLE = {Master equations for random walks with arbitrary pausing time distributions}, JOURNAL = {Phys. Lett. A}, FJOURNAL = {Physics Letters. A}, VOLUME = {64}, YEAR = {1977}, NUMBER = {1}, PAGES = {22--24} } @article {DTGillespie_1978b, AUTHOR = {D. T. Gillespie}, FAUTHOR = {Gillespie, Daniel T.}, TITLE = {Monte {C}arlo simulation of random walks with residence time dependent transition probability rates}, JOURNAL = {J. Comput. Phys.}, FJOURNAL = {Journal of Computational Physics}, VOLUME = {28}, YEAR = {1978}, NUMBER = {3}, PAGES = {395--407} } @article {DTGillespie_1981a, AUTHOR = {D. T. Gillespie}, FAUTHOR = {Gillespie, Daniel T.}, TITLE = {Moment expansion representation of probability density functions}, JOURNAL = {Amer. J. Phys.}, FJOURNAL = {American Journal of Physics}, VOLUME = {49}, YEAR = {1981}, NUMBER = {6}, PAGES = {552--555} } @book {DTGillespie_1992a, AUTHOR = {D. T. Gillespie}, FAUTHOR = {Gillespie, Daniel T.}, TITLE = {Markov processes}, NOTE = {An introduction for physical scientists}, PUBLISHER = {Academic Press Inc.}, ADDRESS = {Boston, MA}, YEAR = {1992} } @article {DTGillespie_1992b, AUTHOR = {D. T. Gillespie}, FAUTHOR = {Gillespie, Daniel T.}, TITLE = {A rigorous derivation of the chemical master equation}, JOURNAL = {Physica A}, FJOURNAL = {Physica A}, VOLUME = {188}, YEAR = {1992}, NUMBER = {1-3}, PAGES = {404-425} } @article {DTGillespie_2000a, AUTHOR = {D. T. Gillespie}, FAUTHOR = {Gillespie, Daniel T.}, TITLE = {The chemical {L}angevin equation}, JOURNAL = {The Journal of Chemical Physics}, FJOURNAL = {The Journal of Chemical Physics}, VOLUME = {113}, YEAR = {2000}, NUMBER = {1}, PAGES = {297--306} } @PHDTHESIS{SGillijns_2007a, AUTHOR = {S. Gillijns}, FAUTHOR = {Steven Gillijns}, TITLE = {{K}alman Filtering Techniques for System Inversion and Data Assimilation}, SCHOOL = {Katholieke Universiteit Leuven, Faculteit Ingenieurswetenschappen}, ADDRESS = {Arenbergkasteel, B-3001 Heverlee (Belgium)}, YEAR = {2007} } @INPROCEEDINGS{SGillijns_OBarreroMendoza_JChandrasekar_BLRDeMoor_DSBernstein_ARidley_2006a, author = {S. Gillijns and O. {Barrero Mendoza} and J. Chandrasekar and B. L. R. De Moor and D. S. Bernstein and A. Ridley}, title = {What Is the Ensemble {K}alman Filter and How Well Does it Work}, booktitle = {Proceedings of the 2006 American Control Conference Minneapolis, Minnesota, USA, June 14-16, 2006}, address = {Minneapolis, Minnesota}, year = {2006}, doi={10.1109/ACC.2006.1657419} } @article {NGillis_2014a, AUTHOR = {N. Gillis}, FAUTHOR = {Gillis, Nicolas}, TITLE = {The why and how of nonnegative matrix factorization}, JOURNAL = {arXiv:1401.5226v2}, YEAR = {2014}, URL = {http://arxiv.org/abs/1401.5226v2}, NOTE = {appeared as \cite{NGillis_2015a}} } @incollection {NGillis_2015a, AUTHOR = {N. Gillis}, FAUTHOR = {Gillis, Nicolas}, TITLE = {The why and how of nonnegative matrix factorization}, EDITOR = {J. A. K. Suykens and M. Signoretto and A. Argyriou}, BOOKTITLE = {Regularization, optimization, kernels, and support vector machines}, SERIES = {Chapman \& Hall/CRC Mach. Learn. Pattern Recogn. Ser.}, PAGES = {257--291}, PUBLISHER = {CRC Press, Boca Raton, FL}, YEAR = {2015}, } @article {AGillman_PGMartinsson_2014a, AUTHOR = {A. Gillman and P.-G. Martinsson}, FAUTHOR = {Gillman, Adrianna and Martinsson, Per-Gunnar}, TITLE = {A direct solver with {$O(N)$} complexity for variable coefficient elliptic {PDE}s discretized via a high-order composite spectral collocation method}, JOURNAL = {SIAM J. Sci. Comput.}, FJOURNAL = {SIAM Journal on Scientific Computing}, VOLUME = {36}, YEAR = {2014}, NUMBER = {4}, PAGES = {A2023--A2046}, DOI = {10.1137/130918988}, URL = {http://dx.doi.org/10.1137/130918988}, } @article {AGillman_PGMartinsson_2014b, AUTHOR = {A. Gillman and P.-G. Martinsson}, FAUTHOR = {Gillman, Adrianna and Martinsson, Per-Gunnar}, TITLE = {An {$O(N)$} algorithm for constructing the solution operator to 2{D} elliptic boundary value problems in the absence of body loads}, JOURNAL = {Adv. Comput. Math.}, FJOURNAL = {Advances in Computational Mathematics}, VOLUME = {40}, YEAR = {2014}, NUMBER = {4}, PAGES = {773--796}, DOI = {10.1007/s10444-013-9326-z}, URL = {http://dx.doi.org/10.1007/s10444-013-9326-z}, } @article {EGine_RNickl_2008a, AUTHOR = {E. Gin\'{e} and R. Nickl}, FAUTHOR = {Evarist Gin\'{e} and Richard Nickl}, AUTHOR = {Gin\'{e}, Evarist and Nickl, Richard}, TITLE = {Uniform central limit theorems for kernel density estimators}, JOURNAL = {Probab. Theory Related Fields}, FJOURNAL = {Probability Theory and Related Fields}, VOLUME = {141}, YEAR = {2008}, NUMBER = {3-4}, PAGES = {333--387}, DOI = {10.1007/s00440-007-0087-9}, URL = {https://doi.org/10.1007/s00440-007-0087-9}, } @book {EGine_RNickl_2015a, AUTHOR = {E. Gin\'{e} and R. Nickl}, FAUTHOR = {Evarist Gin\'{e} and Richard Nickl}, TITLE = {Mathematical Foundations of Infinite-Dimensional Statistical Models}, SERIES = {Cambridge Series in Statistical and Probabilistic Mathematics}, PUBLISHER = {Cambridge University Press}, ADDRESS = {Cambridge}, YEAR = {2015}, URL = {https://doi.org/10.1017/CBO9781107337862}, DOI = {10.1017/CBO9781107337862} } @book {EGine_RNickl_2015b, AUTHOR = {E. Gin\'{e} and R. Nickl}, FAUTHOR = {Evarist Gin\'{e} and Richard Nickl}, TITLE = {Mathematical Foundations of Infinite-Dimensional Statistical Models}, MONTH = {March 22}, YEAR = {2015}, NOTE = {Preprint of \cite{EGine_RNickl_2015a}} } @article {GGiordano_FBlanchini_RBruno_PColaneri_ADiFilippo_ADiMatteo_MColaneri_2020a, FAUTHOR = {Giordano, Giulia and Blanchini, Franco and Bruno, Raffaele and Colaneri, Patrizio and Di Filippo, Alessandro and Di Matteo, Angela and Colaneri, Marta}, AUTHOR = {G. Giordano and F. Blanchini and R. Bruno and P. Colaneri and A. {Di Filippo} and A. {Di Matteo} and M. Colaneri}, title = {Modelling the {COVID-19} epidemic and implementation of population-wide interventions in {I}taly}, journal = {Nature Medicine}, year = {2018}, volume = {26}, number = {6}, pages = {855-860}, url = {https://doi.org/10.1038/s41591-020-0883-7}, doi = {10.1038/s41591-020-0883-7} } @book {GGiorgi_THKjeldsen_2014a, AUTHOR = {G. Giorgi and T. H. Kjeldsen}, FAUTHOR = {Giorgi, Giorgio and Kjeldsen, Tinne Hoff}, TITLE = {Traces and Emergence of Nonlinear Programming}, PUBLISHER = {Birkh\"{a}user/Springer Basel AG, Basel}, YEAR = {2014}, DOI = {10.1007/978-3-0348-0439-4}, URL = {https://doi.org/10.1007/978-3-0348-0439-4}, } @incollection {GGiorgi_THKjeldsen_2014sba, AUTHOR = {G. Giorgi and T. H. Kjeldsen}, FAUTHOR = {Giorgi, Giorgio and Kjeldsen, Tinne Hoff}, TITLE = {A historical view of nonlinear programming: traces and emergence}, EDITOR = {G. Giorgi and T. H. 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Rheinbach}, TITLE = {Nonlinear domain decomposition, adaptive coarse spaces, and a new coarse space for almost incompressible linear elasticity}, SERIES = {Lecture Notes in Computational Science and Engineering}, BOOKtitle = {Domain Decomposition Methods in Science and Engineering XXI}, VOLUME = {xx}, PAGES = {xx}, YEAR = {2014}, PUBLISHER = {Springer}, DOI = {xx}, } @article {LGiraldi_ALitvinenko_DLiu_HGMatthies_ANouy_2014a, AUTHOR = {L. Giraldi and A. Litvinenko and D. Liu and H. G. Matthies and A. Nouy}, FAUTHOR = {Giraldi, Lo{\"i}c and Litvinenko, Alexander and Liu, Dishi and Matthies, Hermann G. and Nouy, Anthony}, TITLE = {To be or not to be intrusive? {T}he solution of parametric and stochastic equations---the ``plain vanilla'' {G}alerkin case}, JOURNAL = {SIAM J. Sci. 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Giraldo}, FAUTHOR = {Giraldo, Francis X.}, TITLE = {An introduction to element-based {G}alerkin methods on tensor-product bases---analysis, algorithms, and applications}, SERIES = {Texts in Computational Science and Engineering}, VOLUME = {24}, PUBLISHER = {Springer, Cham}, YEAR = {2020}, DOI = {10.1007/978-3-030-55069-1}, URL = {https://doi.org/10.1007/978-3-030-55069-1}, } @ARTICLE{PGirardeau_VLeclere_ABPhilpott_2015a, author = {P. Girardeau and V. Leclere and A. B. Philpott}, title = {On the convergence of decomposition methods for multi-stage stochastic convex programs}, journal = {Mathematics of Operations Research}, volume = {40}, number = {1}, pages = {130-145}, year = {2015}, doi = {10.1287/moor.2014.0664}, URL = {http://dx.doi.org/10.1287/moor.2014.0664}, } @article {LGiraud_JLangou_MRozloznik_2005a, AUTHOR = {L. Giraud and J. Langou and M. Rozloznik}, TITLE = {The loss of orthogonality in the {G}ram-{S}chmidt orthogonalization process}, JOURNAL = {Comput. Math. 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Boyd}, title={Diagonal scaling in {D}ouglas-{R}achford splitting and {ADMM}}, booktitle={53rd IEEE Conference on Decision and Control}, year={2014}, pages={5033-5039}, doi={10.1109/CDC.2014.7040175}, } @article {PGiselsson_SBoyd_2015a, AUTHOR = {P. Giselsson and S. Boyd}, FAUTHOR = {Giselsson, Pontus and Boyd, Stephen}, TITLE = {Metric selection in fast dual forward-backward splitting}, JOURNAL = {Automatica J. IFAC}, FJOURNAL = {Automatica. A Journal of IFAC, the International Federation of Automatic Control}, VOLUME = {62}, YEAR = {2015}, PAGES = {1--10}, DOI = {10.1016/j.automatica.2015.09.010}, URL = {https://doi.org/10.1016/j.automatica.2015.09.010}, } @article {PGiselsson_SBoyd_2017a, AUTHOR = {P. Giselsson and S. Boyd}, FAUTHOR = {Giselsson, Pontus and Boyd, Stephen}, TITLE = {Linear convergence and metric selection for {D}ouglas-{R}achford splitting and {ADMM}}, JOURNAL = {IEEE Trans. Automat. Control}, FJOURNAL = {Institute of Electrical and Electronics Engineers. 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An International Journal of Mathematics, Statistics and Financial Economics}, VOLUME = {12}, YEAR = {2002}, NUMBER = {3}, PAGES = {239--269}, DOI = {10.1111/1467-9965.00141}, URL = {https://doi.org/10.1111/1467-9965.00141}, } @article {PGlasserman_PHeidelberger_PShahabuddin_TZajic_1999a, AUTHOR = {P. Glasserman and Ph. Heidelberger and P. Shahabuddin and T. Zajic}, FAUTHOR = {Glasserman, Paul and Heidelberger, Philip and Shahabuddin, Perwez and Zajic, Tim}, TITLE = {Multilevel splitting for estimating rare event probabilities}, JOURNAL = {Oper. Res.}, FJOURNAL = {Operations Research}, VOLUME = {47}, YEAR = {1999}, NUMBER = {4}, PAGES = {585--600}, DOI = {10.1287/opre.47.4.585}, URL = {https://doi.org/10.1287/opre.47.4.585}, } @article {PGlasserman_SJuneja_2008a, AUTHOR = {P. Glasserman and S. Juneja}, FAUTHOR = {Glasserman, Paul and Juneja, Sandeep}, TITLE = {Uniformly efficient importance sampling for the tail distribution of sums of random variables}, JOURNAL = {Math. Oper. 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Tr\'{e}moli\`eres}, FAUTHOR = {Glowinski, Roland and Lions, Jacques-Louis and Tr\'{e}moli\`eres, Raymond}, TITLE = {Numerical analysis of variational inequalities}, SERIES = {Studies in Mathematics and its Applications}, VOLUME = {8}, NOTE = {Translated from the French}, PUBLISHER = {North-Holland Publishing Co., Amsterdam-New York}, YEAR = {1981}, } @article {RGlowinski_AMarrocco_1974a, AUTHOR = {R. Glowinski and A. Marrocco}, FAUTHOR = {Glowinski, Roland and Marrocco, Americo}, TITLE = {Sur l'approximation, par \'{e}l\'{e}ments finis d'ordre {$1$}, et la r\'{e}solution, par p\'{e}nalisation-dualit\'{e}, d'une classe de probl\`emes de {D}irichlet non lin\'{e}aires}, JOURNAL = {C. R. Acad. Sci. Paris S\'{e}r. A}, VOLUME = {278}, YEAR = {1974}, PAGES = {1649--1652}, } @article {RGlowinski_AMarrocco_1975a, AUTHOR = {R. Glowinski and A. Marrocco}, FAUTHOR = {Glowinski, Roland and Marrocco, Americo}, TITLE = {Sur l'approximation, par \'{e}l\'{e}ments finis d'ordre un, et la r\'{e}solution, par p\'{e}nalisation-dualit\'{e}, d'une classe de probl\`emes de {D}irichlet non lin\'{e}aires}, JOURNAL = {R.A.I.R.O. Analyse Num\'{e}rique}, FJOURNAL = {Rev. Fran\c{c}aise Automat. Informat. Recherche Op\'{e}rationnelle S\'{e}r. Rouge Anal. Num\'{e}r.}, VOLUME = {9}, YEAR = {1975}, NUMBER = {{\rm R}-2}, PAGES = {41--76}, DOI = {10.1051/m2an/197509R200411}, URL = {https://doi.org/10.1051/m2an/197509R200411}, } @book {RGlowinski_SJOsher_WYin_2016a, EDITOR = {R. Glowinski and S. J. Osher and W. Yin}, TITLE = {Splitting Methods in Communication, Imaging, Science, and Engineering}, SERIES = {Sci. Comput.}, PUBLISHER = {Springer, Cham}, YEAR = {2016}, DOI = {10.1007/978-3-319-41589-5}, URL = {https://doi.org/10.1007/978-3-319-41589-5}, } @incollection {RGlowinski_TWPan_LHJuarez_EDean_2005a, AUTHOR = {R. Glowinskii and T.-W. Pan and L. 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Math.}, FJOURNAL = {Numerische Mathematik}, VOLUME = {144}, YEAR = {2020}, NUMBER = {4}, PAGES = {931--966}, DOI = {10.1007/s00211-020-01104-4}, URL = {https://doi.org/10.1007/s00211-020-01104-4}, } @article {RGlowinski_YSong_XYuan_HYue_2022a, AUTHOR = {R. Glowinski and Y. Song and X. Yuan and H. Yue}, FAUTHOR = {Glowinski, Roland and Song, Yongcun and Yuan, Xiaoming and Yue, Hangrui}, TITLE = {Application of the alternating direction method of multipliers to control constrained parabolic optimal control problems and beyond}, JOURNAL = {Ann. Appl. Math.}, FJOURNAL = {Annals of Applied Mathematics. Yingyong Shuxue Niankan}, VOLUME = {38}, YEAR = {2022}, NUMBER = {2}, PAGES = {115--158}, DOI = {10.4208/aam.oa-2022-0004}, URL = {https://doi.org/10.4208/aam.oa-2022-0004}, } @article {PWGlynn_DLIglehart_1989a, AUTHOR = {P. W. Glynn and D. L. 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Antoulas}, title = {Stability preserving post-processing methods applied in the {L}oewner framework}, booktitle = {2016 IEEE 20th Workshop on Signal and Power Integrity (SPI)}, year = {2016}, pages = {1-4}, doi = {10.1109/SaPIW.2016.7496283}, URL = {http://dx.doi.org/10.1109/SaPIW.2016.7496283} } @article{IVGosea_ACAntoulas_2018a, author = {I. V. Gosea and A. C. Antoulas}, title = {Data-driven model order reduction of quadratic-bilinear systems}, JOURNAL = {Numer. Linear Algebra Appl.}, FJOURNAL = {Numerical Linear Algebra with Applications}, volume = {25}, number = {6}, pages = {e2200}, year = {2018}, doi = {10.1002/nla.2200}, url = {http://dx.doi.org/10.1002/nla.2200}, } @INPROCEEDINGS{IVGosea_ACAntoulas_2019a, author = {I. V. Gosea and A. C. Antoulas}, title = {A two-sided iterative framework for model reduction of linear systems with quadratic output}, booktitle = {2019 IEEE 58th Conference on Decision and Control (CDC)}, year = {2019}, pages = {7812-7817}, doi = {10.1109/CDC40024.2019.9030025}, url = {http://dx.doi.org/10.1109/CDC40024.2019.9030025}, } @INPROCEEDINGS{IVGosea_IPDuff_PBenner_ACAntoulas_2019a, author = {I. V. Gosea and I. P. Duff and P. Benner and A. C. Antoulas}, fauthor = {Gosea, Ion Victor and Duff, Igor Pontes and Benner, Peter and Antoulas, Athanasios C}, title = {Model order reduction of bilinear time-delay systems}, booktitle = {2019 18th European Control Conference (ECC)}, year = {2019}, pages = {2289-2294}, doi = {10.23919/ECC.2019.8796085}, url = {http://doi.org/10.23919/ECC.2019.8796085} } @INPROCEEDINGS{IVGosea_IPDuff_PBenner_ACAntoulas_2020a, author = {I. V. Gosea and I. P. Duff and P. Benner and A. C. Antoulas}, fauthor = {Gosea, Ion Victor and Duff, Igor Pontes and Benner, Peter and Antoulas, Athanasios C}, title = {Model Order Reduction of Switched Linear Systems with Constrained Switching}, editor = {J. Fehrand B. Haasdonk}, booktitle = {IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22--25, 2018}, publisher = {Springer Verlag}, address = {Berlin, Heidelberg, New-York}, series = {IUTAM Bookseries, Volume 36}, pages = {41--53}, year = 2020, URL = {http://doi.org/10.1007/978-3-030-21013-7_3}, DOI = {10.1007/978-3-030-21013-7_3} } @article {IVGosea_SGugercin_2022a, AUTHOR = {I. V. Gosea and S. Gugercin}, FAUTHOR = {Gosea, Ion Victor and Gugercin, Serkan}, TITLE = {Data-driven modeling of linear dynamical systems with quadratic output in the {AAA} framework}, JOURNAL = {J. Sci. 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Kunisch}, title = {Optimal Control for a Stationary {MHD} System in Velocity-Current Formulation}, year = {2006}, journal = {SIAM Journal on Control and Optimization}, volume = {45}, number = {5}, pages = {1822-1845} } @article{RGriesse_BVexler_2007a, author = {R. Griesse and B. Vexler}, fauthor = {Roland Griesse and Boris Vexler}, title = {Numerical Sensitivity Analysis for the Quantity of Interest in {PDE}-Constrained Optimization}, year = {2007}, journal = {SIAM Journal on Scientific Computing}, volume = {29}, number = {1}, pages = {22-48}, } @incollection {RGriesse_SVolkwein_2006a, AUTHOR = {R. Griesse and S. Volkwein}, FAUTHOR = {Griesse, Roland and Volkwein, Stefan}, TITLE = {Parametric sensitivity analysis for optimal boundary control of a 3{D} reaction-diffusion system}, EDITOR = {G. {Di Pillo} and M. Roma}, BOOKTITLE = {Large-scale nonlinear optimization}, SERIES = {Nonconvex Optim. Appl.}, VOLUME = {83}, PAGES = {127--149}, PUBLISHER = {Springer, New York}, YEAR = {2006}, DOI = {10.1007/0-387-30065-1\_9}, URL = {http://dx.doi.org/10.1007/0-387-30065-1\_9}, } @article {AGriewank_1981a, AUTHOR = {A. O. Griewank}, TITLE = {Generalized descent for global optimization}, JOURNAL = {J. Optim. Theory Appl.}, FJOURNAL = {Journal of Optimization Theory and Applications}, VOLUME = {34}, YEAR = {1981}, NUMBER = {1}, PAGES = {11--39}, DOI = {10.1007/BF00933356}, URL = {https://doi.org/10.1007/BF00933356}, } @INPROCEEDINGS{AGriewank_1986a, author={A. Griewank}, title={The solution of boundary value problems by Broyden based secant methods}, booktitle={Computational Techniques and Applications: CTAC 85, Proceedings of CTAC, Melbourne, August 1985}, year=1986, editor={J. Noye and R. May}, publisher={North Holland}, pages={309--321} } @INPROCEEDINGS{AGriewank_1986b, author={A. Griewank}, title={Rates of convergence for secant methods on nonlinear problems in {H}ilbert space}, booktitle={Numerical Analysis, Proceedings Guanajuato , Mexico 1984}, editor={J. P. Hennart}, series={Lecture Notes in Mathematics}, number=1230, publisher={Springer}, address={Heidelberg}, pages={138--157}, year=1986 } @article {AGriewank_1986c, AUTHOR = {A. Griewank}, FAUTHOR = {Griewank, Andreas}, TITLE = {The ``global'' convergence of {B}royden-like methods with a suitable line search}, JOURNAL = {J. Austral. Math. Soc. Ser. B}, FJOURNAL = {Australian Mathematical Society. Journal. Series B. Applied Mathematics}, VOLUME = {28}, YEAR = {1986}, NUMBER = {1}, PAGES = {75--92}, DOI = {10.1017/S0334270000005208}, URL = {https://doi.org/10.1017/S0334270000005208}, } } @ARTICLE{AGriewank_1987a, author = {A. Griewank}, title = {The local convergence of {B}royden-like methods on {L}ipschitzian problems in {H}ilbert space}, journal = {SIAM J. Numer. Anal.}, year = 1987, pages = {684--705}, volume = 24 } @INPROCEEDINGS{AGriewank_1987b, author={A. Griewank}, title={On the iterative solution of differential and integral equations using secant updating techniques}, booktitle={The State of the Art in Numerical Analysis}, editor={A. Iserles and M.J.D. Powell}, organization={IMA/SIAM}, month={April, 1984}, year=1987, publisher={Clarendon Press}, address={Oxford}, pages={299--324} } @INPROCEEDINGS{AGriewank_1989, author={A. Griewank}, title={On Automatic Differentiation}, booktitle={Mathematical Programming: Recent Developments and Applications}, editor={M. Iri and K. Tanabe}, year=1989, publisher={Kluwer Academic Publishers}, address={Amsterdam}, pages={83--108} } @ARTICLE{AGriewank_1992, author = {A. Griewank}, title = {Achieving logarithmic growth of temporal and spatial complexity reverse automatic differentiation}, journal = {Optimization Methods and Software}, year = 1992, pages = {35--54}, volume = 1, doi = {10.1080/10556789208805505}, url = {https://doi.org/10.1080/10556789208805505} } @BOOK{AGriewank_2000, author = {A. Griewank}, title = {Evaluating Derivatives. Principles and Techniques of Algorithmic Differentiation}, publisher = {SIAM}, address = {Philadelphia}, series = {Frontiers in Applied Mathematics}, year = 2000 } @INCOLLECTION{AGriewank_2003, author = {A. Griewank}, title = {A Mathematical View of Automatic Differentiation}, booktitle = {Acta Numerica 2003}, publisher = {Cambridge University Press}, address = {Cambridge, London, New York}, editor = {A. Iserles}, year = {2003}, pages = {321--398}, DOI = {10.1017/S0962492902000132}, URL = {https://doi.org/10.1017/S0962492902000132}, } @incollection{AGriewank_2012a, AUTHOR = {A. Griewank}, FAUTHOR = {Griewank, Andreas}, TITLE = {{B}royden Updating, the Good and the Bad!}, editor = {M. Gr{\"o}tschel}, feditor = {Martin Gr{\"o}tschel}, booktitle = {Optimization Stories}, publisher = {DOCUMENTA MATHEMATICA, Journal der Deutschen Mathematiker-Vereinigung}, volume = {Extra Volume ISMP (2012)}, pages = "301-315", year = "2012", DOI = {10.4171/DMS/6/32}, URL = {https://doi.org/10.4171/DMS/6/32}, } @article {AGriewank_2013a, AUTHOR = {A. Griewank}, FAUTHOR = {Griewank, Andreas}, TITLE = {On stable piecewise linearization and generalized algorithmic differentiation}, JOURNAL = {Optim. Methods Softw.}, FJOURNAL = {Optimization Methods \& Software}, VOLUME = {28}, YEAR = {2013}, NUMBER = {6}, PAGES = {1139--1178}, DOI = {10.1080/10556788.2013.796683}, URL = {https://doi.org/10.1080/10556788.2013.796683}, } @ARTICLE{AGriewank_CBischof_GCorliss_ACarle_KWilliamson_1993, author = {A. Griewank and C. Bischof and G. Corliss and A. Carle and K. Williamson}, fauthor = {Andreas Griewank and Christian Bischof and George Corliss and Alan Carle and Karen Williamson }, title = {Derivative Convergence for iterative Equation Solvers}, journal = {Optimization Methods and Software}, year = 1993, pages = {321--355}, volume = 2, doi = {10.1080/10556789308805549}, URL = {https://doi.org/10.1080/10556789308805549} } @manual{AGriewank_PMbunga_JBacallao_2005a, author = {A. Griewank and P. Mbunga and J. Bacallao}, title = {Grundlagen der Optimierung}, organization = {Humboldt Universit\"at zu Berlin}, address = {Institut f\"ur Mathematik}, note = {Vorlesungsskript}, year = {2005}, } @ARTICLE{AGriewank_PhLToint_1982a, author = {A. Griewank and Ph. L. Toint}, title = {Partitioned Variable Metric Updates for Large Structured Optimization Problems}, journal = {Numerische Mathematik}, year = 1982, pages = {119--137}, volume = 39 } @ARTICLE{AGriewank_PhLToint_1982b, author = {A. Griewank and Ph. L. Toint}, title = {Local Convergence Analysis for Partitioned Quasi-{N}ewton Updates}, journal = {Numerische Mathematik}, year = 1982, pages = {429-448}, volume = 39 } @INPROCEEDINGS{AGriewank_PhLToint_1984, author = {A. Griewank and Ph. L. Toint}, title = {Numerical Experiments with Partially Separable Optimization Problems}, booktitle = {Numerical Analysis: Proceedings Dundee 1983}, editor= {D. F. Griffith}, series = { Lecture Notes in Mathematics 1066}, publisher = {Springer Verlag}, address = {Berlin, Heidelberg, New York}, pages = {203--220}, year = 1994 } @article{AGriewank_AWalther_2000a, author = {A. Griewank and A. Walther}, title = {Algorithm 799: revolve: An implementation of checkpointing for the reverse or adjoint mode of computational differentiation}, journal = {ACM Trans. Math. Softw.}, volume = {26}, number = {1}, year = {2000}, pages = {19--45}, doi = {10.1145/347837.347846}, url = {http://dx.doi.org/10.1145/347837.347846} } @article {AGriewank_AWalther_2002a, AUTHOR = {A. Griewank and A. Walther}, FAUTHOR = {Griewank, Andreas and Walther, Andrea}, TITLE = {On constrained optimization by adjoint based quasi-{N}ewton methods}, JOURNAL = {Optim. Methods Softw.}, FJOURNAL = {Optimization Methods \& Software}, VOLUME = {17}, YEAR = {2002}, NUMBER = {5}, PAGES = {869--889} } @book {AGriewank_AWalther_2008a, AUTHOR = {A. Griewank and A. Walther}, FAUTHOR = {Griewank, Andreas and Walther, Andrea}, TITLE = {Evaluating Derivatives. Principles and Techniques of Algorithmic Differentiation}, EDITION = {Second}, PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)}, ADDRESS = {Philadelphia, PA}, YEAR = {2008}, DOI = {10.1137/1.9780898717761}, URL = {https://doi.org/10.1137/1.9780898717761} } @article {AGriewank_AWalther_2016a, AUTHOR = {A. Griewank and A. Walther}, FAUTHOR = {Griewank, Andreas and Walther, Andrea}, TITLE = {First- and second-order optimality conditions for piecewise smooth objective functions}, JOURNAL = {Optim. Methods Softw.}, FJOURNAL = {Optimization Methods \& Software}, VOLUME = {31}, YEAR = {2016}, NUMBER = {5}, PAGES = {904--930}, DOI = {10.1080/10556788.2016.1189549}, URL = {https://doi.org/10.1080/10556788.2016.1189549}, } @article {AGriewank_AWalther_SFiege_TBosse_2016a, AUTHOR = {A. Griewank and A. Walther and S. Fiege and T. Bosse}, FAUTHOR = {Griewank, Andreas and Walther, Andrea and Fiege, Sabrina and Bosse, Torsten}, TITLE = {On {L}ipschitz optimization based on gray-box piecewise linearization}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming}, VOLUME = {158}, YEAR = {2016}, NUMBER = {1-2, Ser. A}, PAGES = {383--415}, DOI = {10.1007/s10107-015-0934-x}, URL = {https://doi.org/10.1007/s10107-015-0934-x}, } @article {AGriewank_AWalther_MKorzec_2007a, AUTHOR = {A. 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Svobotny}, title = {Heating and cooling control of temperature distributions along boundaries of flow domains}, journal = {J. of Mathematical Systems, Estimation, and Control}, volume = {3}, pages = {147--172}, year = {1993} } @INPROCEEDINGS{MDGunzburger_LSHou_TPSvobotny_1993a, author = {M. D. Gunzburger and L. S. Hou and T. P. Svobotny}, title = {Optimal Control and Optimization of Viscous, Incompressible Flows}, editor = {M. D. Gunzburger and R. A. Nicolaides}, booktitle = {Incompressible Computational Fluid Dynamics}, publisher = {Cambridge University Press}, address = {Cambridge, New York}, pages = {109--150}, year = {1993} } @article {MGunzburger_TIliescu_MMohebujjaman_MSchneier_2019a, AUTHOR = {M. Gunzburger and T. Iliescu and M. Mohebujjaman and M. Schneier}, TITLE = {An evolve-filter-relax stabilized reduced order stochastic collocation method for the time-dependent {N}avier-{S}tokes equations}, JOURNAL = {SIAM/ASA J. Uncertain. 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H{\'e}rard}, BOOKTITLE = {Finite volumes for complex applications {V}. Proceedings of the 5th {I}nternational {S}ymposium held in {A}ussois, {J}une 2008}, PAGES = {471--478}, PUBLISHER = {ISTE, London}, YEAR = {2008} } @TECHREPORT{BHaasdonk_MOhlberger_2009a, AUTHOR = {B. Haasdonk and M. Ohlberger}, FAUTHOR = {Haasdonk, Bernard and Ohlberger, Mario}, TITLE = {Efficient reduced models and a posteriori error estimation for parametrized dynamical systems by offline/online decomposition}, institution = {Stuttgart Research Centre for Simulation Technology (SRC SimTech)}, address = {SimTech -- Cluster of Excellence, Pfaffenwaldring 7a, 70569 Stuttgart, Germany}, number = {2009-23}, year = 2009, URL = {http://www.simtech.uni-stuttgart.de}, note = {appeared as \cite{BHaasdonk_MOhlberger_2011a}} } @article {BHaasdonk_MOhlberger_2011a, AUTHOR = {B. Haasdonk and M. Ohlberger}, FAUTHOR = {Haasdonk, Bernard and Ohlberger, Mario}, TITLE = {Efficient reduced models and a posteriori error estimation for parametrized dynamical systems by offline/online decomposition}, JOURNAL = {Mathematical and Computer Modelling of Dynamical Systems}, FJOURNAL = {Mathematical and Computer Modelling of Dynamical Systems: Methods, Tools and Applications in Engineering and Related Sciences}, VOLUME = {17}, YEAR = {2011}, NUMBER = {2}, PAGES = {145--161}, URL = {http://www.informaworld.com/10.1080/13873954.2010.514703} } @article {BHaasdonk_MOhlberger_GRozza_2008a, AUTHOR = {B. Haasdonk and M. Ohlberger and G. Rozza}, TITLE = {A reduced basis method for evolution schemes with parameter-dependent explicit operators}, JOURNAL = {Electron. Trans. Numer. Anal.}, FJOURNAL = {Electronic Transactions on Numerical Analysis}, VOLUME = {32}, YEAR = {2008}, PAGES = {145--161} } @PHDTHESIS{GHaase_1993, AUTHOR = {Gundolf Haase}, TITLE = {Die nicht{\"u}berlappende {G}ebietszerlegungsmethode zur {P}arallelisierung und {V}orkonditionierung iterativer {V}erfahren}, SCHOOL = {{F}akult\"at {M}athematik und {N}aturwissenschaften der {TU} {C}hemnitz--{Z}wickau}, YEAR = {1993} } @ARTICLE {GHaase_ULanger_1996c, AUTHOR = {G. Haase and U. Langer}, TITLE = {The efficient parallel solution of {PDE}s}, JOURNAL = {Computers and Mathematics with Applications}, VOLUME = 31, NUMBER = {3/4}, PAGES = {151-159}, YEAR = 1996, } @TECHREPORT{GHaase_ULanger_1998a, author = {G. Haase and U. Langer}, title = {Multigrid Methods (Lecture Notes)}, institution = {Institute of Computational Mathematics}, address = {Johannes Kepler Universit\"at Linz}, number = {2004-35}, year = 2004 } @ARTICLE{GHaase_ULanger_AMeyer_1991a, AUTHOR = {G. Haase and U. Langer and A. Meyer}, TITLE = {The Approximate {D}irichlet Decomposition Method. Part {I}: An Algebraic Approach}, PAGES = {137-151}, JOURNAL = {Computing}, VOLUME = 47, NUMBER = 2, YEAR = 1991, DPI = {10.1007/BF02253431}, URL = {http://dx.doi.org/10.1007/BF02253431} } @ARTICLE{GHaase_ULanger_AMeyer_1991b, AUTHOR = {G. Haase and U. Langer and A. Meyer}, TITLE = {The Approximate {D}irichlet Decomposition Method. Part {II}: Application to 2nd-order Elliptic {B.V.P.s}}, PAGES = {153-167}, JOURNAL = {Computing}, VOLUME = 47, NUMBER = 2, NUMBER = 2, YEAR = 1991, DOI = {10.1007/BF02253432}, URL = {http://dx.doi.org/10.1007/BF02253432} } @ARTICLE{GHaase_ULanger_AMeyer_1992a, AUTHOR = {G. Haase and U. Langer and A. Meyer}, TITLE = {Domain Decomposition Preconditioners with Inexact Subdomain Solvers}, PAGES = {27-42}, JOURNAL = {J. of Num. Lin. Alg. with Appl.}, FJOURNAL = {Journal of Numerical Linear Algebra with Applications}, VOLUME = 1, NUMBER = 1, YEAR = 1992, } @INPROCEEDINGS{WGHabashi_MFPeeters_MRobichaud_VNNguyen_1993, author = {W. G. Habashi and M. F. Peeters and M. P. Robichaud and V.--N. Nguyen}, title = {A Fully--Coupled Finite Element Algorithm, Using Direct and Iterative Solvers, for the Incompressible {N}avier--{S}tokes Equations}, editor = {M. D. Gunzburger and R. A. Nicolaides}, booktitle = {Incompressible Computational Fluid Dynamics}, publisher = {Cambridge University Press}, address = {Cambridge, New York}, pages = {151--182}, year = {1993} } @ARTICLE{EHaber_2006a, author = {E. Haber}, title = {A parallel method for large scale time domain electromagnetic inverse problems}, journal = {IMACS J. of Applied Numerical Mathematics}, year = 2006, volume = {xx}, pages = {xx-yy} } @ARTICLE{EHaber_UAscher_2001a, author = {E. Haber and U. Ascher}, title = {Preconditioned all--at--once methods for large sparse parameter estimation problems}, journal = {Inverse Problems}, year = 2000, volume = {17}, pages = {1847--1864} } @ARTICLE{EHaber_UAscher_DOldenburg_2000, author = {E. Haber and U. Ascher and D. Oldenburg}, title = {On Optimization Techniques for Solving Nonlinear Inverse Problems}, journal = {Inverse Problems}, year = 2000, volume = {16}, pages = {1263--1280} } @TECHREPORT{EHaber_UAscher_DAAruliah_DOldenburg_1999, author = {E. Haber and U. Ascher and D. A. Aruliah and D. Oldenburg}, title = {Fast modelling of 3D electromagnetic problems using potentials}, institution = {Institute of Applied Mathematics, University of British Columbia}, address = {Vancouver, BC, V6T 1Z4,Canada}, year = 1999, note = {Appeared as \cite{EHaber_UAscher_DAAruliah_DOldenburg_2000a}} } @ARTICLE{EHaber_UAscher_DAAruliah_DOldenburg_2000a, author = {E. Haber and U. Ascher and D. A. Aruliah and D. Oldenburg}, title = {Fast modelling of 3D electromagnetic problems using potentials}, journal = {Journal of Computational Physics}, year = 2000, volume = {163}, pages = {150--171} } @article {EHaber_JModersitzki_2004a, AUTHOR = {E. Haber and J. Modersitzki}, FAUTHOR = {Haber, Eldad and Modersitzki, Jan}, TITLE = {Numerical methods for volume preserving image registration}, JOURNAL = {Inverse Problems}, FJOURNAL = {Inverse Problems. An International Journal on the Theory and Practice of Inverse Problems, Inverse Methods and Computerized Inversion of Data}, VOLUME = {20}, YEAR = {2004}, NUMBER = {5}, PAGES = {1621--1638} } @article {EHaber_JModersitzki_2006a, AUTHOR = {E. Haber and J. Modersitzki}, FAUTHOR = {Haber, Eldad and Modersitzki, Jan}, TITLE = {A multilevel method for image registration}, JOURNAL = {SIAM J. Sci. Comput.}, FJOURNAL = {SIAM Journal on Scientific Computing}, VOLUME = {27}, YEAR = {2006}, NUMBER = {5}, PAGES = {1594--1607 (electronic)} } @article {EHaber_LRuthotto_2018a, AUTHOR = {E. Haber and L. Ruthotto}, FAUTHOR = {Haber, Eldad and Ruthotto, Lars}, TITLE = {Stable architectures for deep neural networks}, JOURNAL = {Inverse Problems}, FJOURNAL = {Inverse Problems. An International Journal on the Theory and Practice of Inverse Problems, Inverse Methods and Computerized Inversion of Data}, VOLUME = {34}, YEAR = {2018}, NUMBER = {1}, PAGES = {014004, 22}, DOI = {10.1088/1361-6420/aa9a90}, URL = {https://doi.org/10.1088/1361-6420/aa9a90}, } @article {EHaber_LRuthotto_2018b, AUTHOR = {E. Haber and L. Ruthotto}, FAUTHOR = {Haber, Eldad and Ruthotto, Lars}, TITLE = {Deep Neural Networks motivated by Partial Differential Equations}, JOURNAL = {arXiv:1804.04272v1}, YEAR = {2018} } @INPROCEEDINGS{EHaber_LRuthotto_EHoltham_SHJun_2018a, author = {E. Haber and L. Ruthotto and E. Holtham and S.-H. Jun}, fauthor = {Eldad Haber and Lars Ruthotto and Elliot Holtham and Seong-Hwan Jun}, title = {Learning Across Scales---Multiscale Methods for Convolution Neural Networks}, booktitle= {Thirty-Second AAAI Conference on Artificial Intelligence}, year = {2018}, url = {https://www.aaai.org/ocs/index.php/AAAI/AAAI18/paper/view/16580}, } @article{MHabiba_BAPearlmutter_2020a, AUTHOR = {M. Habiba and B. A. Pearlmutter}, FAUTHOR = {Habiba, Mansura and Pearlmutter, Barak A.}, TITLE = {Neural Ordinary Differential Equation based Recurrent Neural Network Model}, JOURNAL = {arXiv:2005.09807}, YEAR = {2020}, URL = {https://arxiv.org/abs/2005.09807}, } @article {WHackbusch_1978a, AUTHOR = {W. Hackbusch}, TITLE = {A numerical method for solving parabolic equations with opposite orientations}, JOURNAL = {Computing}, FJOURNAL = {Computing. Archiv f\"ur Informatik und Numerik}, VOLUME = {20}, YEAR = {1978}, NUMBER = {3}, PAGES = {229--240}, DOI = {10.1007/BF02251947}, URL = {https://doi.org/10.1007/BF02251947} } @ARTICLE{WHackbusch_1979a, AUTHOR = {W. Hackbusch}, FAUTHOR = {Hackbusch, Wolfgang}, TITLE = {On the fast solving of parabolic boundary control problems}, JOURNAL = {SIAM J. Control Optim.}, FJOURNAL = {SIAM Journal on Control and Optimization}, VOLUME = {17}, YEAR = {1979}, NUMBER = {2}, PAGES = {231--244}, DOI = {10.1137/0317018}, URL = {https://doi.org/10.1137/0317018}, } @article {WHackbusch_1980a, AUTHOR = {W. Hackbusch}, TITLE = {Fast solution of elliptic control problems}, JOURNAL = {J. Optim. Theory Appl.}, FJOURNAL = {Journal of Optimization Theory and Applications}, VOLUME = {31}, YEAR = {1980}, NUMBER = {4}, PAGES = {565--581}, DOI = {10.1007/BF00934478}, URL = {https://doi.org/10.1007/BF00934478} } @article {WHackbusch_1981a, AUTHOR = {W. Hackbusch}, TITLE = {Fast numerical solution of time-periodic parabolic problems by a multigrid method}, JOURNAL = {SIAM J. Sci. Statist. Comput.}, FJOURNAL = {Society for Industrial and Applied Mathematics. Journal on Scientific and Statistical Computing}, VOLUME = {2}, YEAR = {1981}, NUMBER = {2}, PAGES = {198--206} } @article {WHackbusch_1981b, AUTHOR = {W. Hackbusch}, TITLE = {Optimal {$H\sp{p,\,p/2}$} error estimates for a parabolic {G}alerkin method}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {18}, YEAR = {1981}, NUMBER = {4}, PAGES = {681--692} } @article {WHackbusch_1981c, AUTHOR = {W. Hackbusch}, FAUTHOR = {Hackbusch, Wolfgang}, TITLE = {On the regularity of difference schemes}, JOURNAL = {Ark. Mat.}, FJOURNAL = {Arkiv f\"or Matematik}, VOLUME = {19}, YEAR = {1981}, NUMBER = {1}, PAGES = {71--95}, DOI = {10.1007/BF02384470}, URL = {http://dx.doi.org/10.1007/BF02384470}, } @inproceedings {WHackbusch_1982, AUTHOR = {W. Hackbusch}, TITLE = {Multi-Grid Convergence Theory}, EDITOR = {W. Hackbusch and U. Trottenberg}, BOOKTITLE = {Multigrid methods. Proceedings of the {C}onference held in {C}ologne, {N}ovember 23--27, 1981}, SERIES = {Lecture Notes in Mathematics}, VOLUME = {960}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {1982}, PAGES = {177--219}, DOI = {10.1007/BFb0069929}, URL = {https://doi.org/10.1007/BFb0069929} } @article {WHackbusch_1983a, AUTHOR = {W. Hackbusch}, FAUTHOR = {Hackbusch, Wolfgang}, TITLE = {On the regularity of difference schemes. {II}. {R}egularity estimates for linear and nonlinear problems}, JOURNAL = {Ark. Mat.}, FJOURNAL = {Arkiv f\"or Matematik}, VOLUME = {21}, YEAR = {1983}, NUMBER = {1}, PAGES = {3--28}, DOI = {10.1007/BF02384298}, URL = {http://dx.doi.org/10.1007/BF02384298}, } @incollection {WHackbusch_1984a, AUTHOR = {W. Hackbusch}, FAUTHOR = {Hackbusch, Wolfgang}, TITLE = {Parabolic multigrid methods}, EDITOR = {R. Glowinski and J.-L. Lions}, BOOKTITLE = {Computing methods in applied sciences and engineering, {VI} ({V}ersailles, 1983)}, PAGES = {189--197}, PUBLISHER = {North-Holland, Amsterdam}, YEAR = {1984}, } @BOOK{WHackbusch_1985a, author = {W. Hackbusch}, title = {Multigrid Methods and Applications}, series = {Computational Mathematics, Vol.~4}, publisher = {Springer--Verlag}, address = {Berlin}, year = {1985}, DOI = {10.1007/978-3-662-02427-0}, URL = {https://doi.org/10.1007/978-3-662-02427-0}, } @BOOK{WHackbusch_1986a, author = {W. Hackbusch}, title = {Theorie und Numerik elliptischer Differentialgleichungen}, publisher = {Teubner-Verlag}, address = {Stuttgart}, series = {Teubner Studienb{\"u}cher Mathematik}, year = 1986 } @BOOK{WHackbusch_1989a, author = {W. Hackbusch}, title = {Integralgleichungen. Theorie und Numerik.}, publisher = {Teubner-Verlag}, address = {Stuttgart}, series = {Teubner Studienb{\"u}cher Mathematik}, year = 1989 } @BOOK{WHackbusch_1991a, author = {W. Hackbusch}, title = {Iterative L{\"o}sung gro{\ss}er schwachbesetzter Gleichungssysteme}, publisher = {Teubner-Verlag}, address = {Stuttgart}, series = {Teubner Studienb{\"u}cher Mathematik}, year = 1991 } @BOOK{WHackbusch_1992, author = {W. Hackbusch}, title = {Elliptic Differential Equations: Theory and Numerical Treatment}, publisher = {Springer--Verlag}, address = {Berlin}, year = {1992} } @BOOK{WHackbusch_1994a, author = {W. Hackbusch}, title = {Iterative Solution of Large Sparse Systems of Equations}, publisher = {Springer--Verlag}, address = {Berlin}, year = {1994}, call-no = {QA 1 A 648 v.95} } @book {WHackbusch_1995a, AUTHOR = {W. Hackbusch}, FAUTHOR = {Hackbusch, Wolfgang}, TITLE = {Integral Equations}, SERIES = {International Series of Numerical Mathematics}, VOLUME = {120}, NOTE = {Theory and numerical treatment, Translated and revised by the author from the 1989 German original}, PUBLISHER = {Birkh\"auser Verlag}, ADDRESS = {Basel}, YEAR = {1995}, URL = {https://doi.org/10.1007/978-3-0348-9215-5}, DOI = {10.1007/978-3-0348-9215-5} } @book {WHackbusch_1997a, AUTHOR = {W. Hackbusch}, FAUTHOR = {Hackbusch, Wolfgang}, TITLE = {{I}ntegralgleichungen. {T}heorie und {N}umerik}, SERIES = {Leitf\"aden der Angewandten Mathematik und Mechanik [Guides to Applied Mathematics and Mechanics]}, VOLUME = {68}, EDITION = {Second}, PUBLISHER = {B. G. Teubner, Stuttgart}, YEAR = {1997}, DOI = {10.1007/978-3-663-10372-1}, URL = {http://dx.doi.org/10.1007/978-3-663-10372-1}, } @article {WHackbusch_2002a, AUTHOR = {W. Hackbusch}, FAUTHOR = {Hackbusch, Wolfgang}, TITLE = {Direct integration of the {N}ewton potential over cubes}, JOURNAL = {Computing}, FJOURNAL = {Computing. Archives for Scientific Computing}, VOLUME = {68}, YEAR = {2002}, NUMBER = {3}, PAGES = {193--216} } @TECHREPORT{WHackbusch_2003a, author = {W. Hackbusch}, title = {Der Stabilit{\"a}tsbegriff in der Numerik}, institution = {Max-Planck-Institut fur Mathematik in den Naturwissenschaften}, address = {Inselstr. 22-26, 04103 Leipzig, Germany}, year = {2003} } @BOOK{WHackbusch_2005a, author = {W. Hackbusch}, title = {Theorie und Numerik elliptischer Differentialgleichungen}, publisher = {Max-Planck-Institut fur Mathematik in den Naturwissenschaften}, address = {Inselstr. 22-26, 04103 Leipzig, Germany}, year = 2005, note = {{\"U}berarbeitete und erweiterte Version des Buches \cite{WHackbusch_1986a}} } @TECHREPORT{WHackbusch_2006a, author = {W. Hackbusch}, title = {{H}ierarchische {M}atrizen: {A}lgorithmen und {A}nalyse}, institution = {Max-Planck-Institut fur Mathematik in den Naturwissenschaften}, address = {Inselstr. 22-26, 04103 Leipzig, Germany}, year = {2006} } @BOOK{WHackbusch_2009a, author = {W. Hackbusch}, title = {{H}ierarchische {M}atrizen: {A}lgorithmen und {A}nalyse}, publisher = {Springer--Verlag}, address = {Berlin}, year = {2009} } @book {WHackbusch_2012a, AUTHOR = {W. Hackbusch}, TITLE = {Tensor Spaces and Numerical Tensor Calculus}, SERIES = {Springer Series in Computational Mathematics}, VOLUME = {42}, PUBLISHER = {Springer-Verlag}, ADDRESS = {New York}, YEAR = {2012}, DOI = {10.1007/978-3-642-28027-6}, URL = {http://dx.doi.org/10.1007/978-3-642-28027-6} } @article{WHackbusch_2014a, author = {W. Hackbusch}, fauthor = {Hackbusch, Wolfgang}, title = {Numerical tensor calculus}, journal = {Acta Numerica}, volume = {23}, month = {5}, year = {2014}, pages = {651--742}, doi = {10.1017/S0962492914000087}, URL = {http://journals.cambridge.org/article_S0962492914000087}, } @book {WHackbusch_2014b, AUTHOR = {W. Hackbusch}, FAUTHOR = {Hackbusch, Wolfgang}, TITLE = {The concept of stability in numerical mathematics}, SERIES = {Springer Series in Computational Mathematics}, VOLUME = {45}, PUBLISHER = {Springer, Heidelberg}, YEAR = {2014}, DOI = {10.1007/978-3-642-39386-0}, URL = {https://doi.org/10.1007/978-3-642-39386-0}, } @book {WHackbusch_2015a, AUTHOR = {W. Hackbusch}, TITLE = {Hierarchical Matrices: Algorithms and Analysis}, SERIES = {Springer Series in Computational Mathematics}, VOLUME = {49}, PUBLISHER = {Springer-Verlag}, ADDRESS = {New York}, YEAR = {2012}, DOI = {10.1007/978-3-662-47324-5}, URL = {http://dx.doi.org/10.1007/978-3-662-47324-5}, } @book {WHackbusch_2016a, AUTHOR = {W. Hackbusch}, FAUTHOR = {Hackbusch, Wolfgang}, TITLE = {Iterative Solution of Large Sparse Systems of Equations}, SERIES = {Applied Mathematical Sciences}, VOLUME = {95}, EDITION = {Second}, PUBLISHER = {Springer, [Cham]}, YEAR = {2016}, DOI = {10.1007/978-3-319-28483-5}, URL = {https://doi.org/10.1007/978-3-319-28483-5}, } @book {WHackbusch_2017a, AUTHOR = {W. Hackbusch}, FAUTHOR = {Hackbusch, Wolfgang}, TITLE = {Elliptic Differential Equations. {T}heory and Numerical Treatment}, SERIES = {Springer Series in Computational Mathematics}, VOLUME = {18}, EDITION = {Second}, PUBLISHER = {Springer-Verlag, Berlin}, YEAR = {2017}, DOI = {10.1007/978-3-662-54961-2}, URL = {https://doi.org/10.1007/978-3-662-54961-2}, } @incollection {WHackbusch_SGutsch_JFMaitre_FMusy_1998a, AUTHOR = {W. Hackbusch and S. Gutsch and J.-F. Maitre and F. Musy}, TITLE = {The appropriate numbering for the multigrid solution of convection dominated problems}, BOOKTITLE = {Numerical flow simulation, I (Marseille, 1997)}, SERIES = {Notes Numer. Fluid Mech.}, VOLUME = {66}, PAGES = {75--88}, PUBLISHER = {Vieweg}, ADDRESS = {Braunschweig}, YEAR = {1998} } @incollection {WHackbusch_RKriemann_SLeBorne_JFMaitre_2001a, AUTHOR = {W. Hackbusch and R. Kriemann and S. {Le Borne} and J.-F. Maitre}, TITLE = {C{D}2{D}3{D}---a package to solve convection dominated problems employing ordering techniques}, BOOKTITLE = {Numerical flow simulation, II}, SERIES = {Notes Numer. Fluid Mech.}, VOLUME = {75}, PAGES = {34--48}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {2001} } @article {WHackbusch_ZPNowak_1989a, AUTHOR = {W. Hackbusch and Z. P. Nowak}, TITLE = {On the fast matrix multiplication in the boundary element method by panel clustering}, JOURNAL = {Numer. Math.}, FJOURNAL = {Numerische Mathematik}, VOLUME = {54}, YEAR = {1989}, NUMBER = {4}, PAGES = {463--491} } @article {WHackbusch_SASauter_1994a, AUTHOR = {W. Hackbusch and S. A. Sauter}, TITLE = {On numerical cubatures of nearly singular surface integrals arising in {BEM} collocation}, JOURNAL = {Computing}, FJOURNAL = {Computing. Archives for Scientific Computing}, VOLUME = {52}, YEAR = {1994}, NUMBER = {2}, PAGES = {139--159} } @incollection {WHackbusch_RSchneider_2014a, AUTHOR = {W. Hackbusch and R. Schneider}, FAUTHOR = {Hackbusch, Wolfgang and Schneider, Reinhold}, TITLE = {Tensor spaces and hierarchical tensor representations}, EDITOR = {S. Dahlke and W. Dahmen and M. Griebel and W. Hackbusch and K. Ritter and R. Schneider and Ch. Schwab and H. Yserentant}, BOOKTITLE = {Extraction of quantifiable information from complex systems}, SERIES = {Lect. Notes Comput. Sci. Eng.}, VOLUME = {102}, PAGES = {237--261}, PUBLISHER = {Springer, Cham}, YEAR = {2014}, DOI = {10.1007/978-3-319-08159-5\_12}, URL = {http://dx.doi.org/10.1007/978-3-319-08159-5\_12}, } @proceedings {WHackbusch_UTrottenberg_1982, EDITOR = {W. Hackbusch and U. Trottenberg}, BOOKTITLE = {Multigrid methods. Proceedings of the {C}onference held in {C}ologne, {N}ovember 23--27, 1981}, SERIES = {Lecture Notes in Mathematics}, VOLUME = {960}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {1982}, DOI = {10.1007/BFb0069927}, URL = {http://dx.doi.org/10.1007/BFb0069927} } @article {WHackbusch_ThWill_1983a, AUTHOR = {Hackbusch, W. and Will, Th.}, TITLE = {A numerical method for a parabolic bang-bang problem}, JOURNAL = {Control Cybernet.}, FJOURNAL = {Polish Academy of Sciences. Systems Research Institute. Control and Cybernetics}, VOLUME = {12}, YEAR = {1983}, NUMBER = {3-4}, PAGES = {99--116 (1984)} } @incollection {WHackbusch_ThWill_1984a, AUTHOR = {W. Hackbusch and Th. Will}, TITLE = {A numerical method for a parabolic bang-bang problem}, BOOKTITLE = {Optimal control of partial differential equations (Oberwolfach, 1982)}, SERIES = {Internat. Schriftenreihe Numer. 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Heinkenschloss}, title = {Ein numerisches {V}erfahren zur {L}{\"o}sung von {P}arameter\-identifizierungs\-problemen}, institution = {Fb IV -- Mathematik}, address = {Universit{\"a}t Trier, D--54286 Trier, Germany}, type = {{D}iplomarbeit}, year = {1988} } @PHDTHESIS{MHeinkenschloss_1991, author = {M. Heinkenschloss}, title = {{G}auss--{N}ewton Methods for Infinite Dimensional Least Squares Problems with Norm Constraints}, school = {Fb IV -- Mathematik, Universit{\"a}t Trier}, address = {Postfach 3825, D--54286 Trier, Germany}, year = {1991} } @ARTICLE{MHeinkenschloss_1993, author = {M. Heinkenschloss}, title = {Mesh Independence for Nonlinear Least Squares Problems with Norm Constraints}, journal = {SIAM J. Optimization}, pages = {81--117}, volume = {3}, year = {1993}, DOI = {10.1137/0803005}, URL = {http://dx.doi.org/10.1137/0803005}, } @ARTICLE{MHeinkenschloss_1994, author = {M. Heinkenschloss}, title = {On the Solution of a Two Ball Trust--Region Subproblem}, journal = {Mathematical Programming}, pages = {249--276}, volume = 64, year = {1994}, DOI = {10.1007/BF01582576}, URL = {http://dx.doi.org/10.1007/BF01582576}, } @ARTICLE{MHeinkenschloss_1996, author = {M. Heinkenschloss}, title = {Projected Sequential Quadratic Programming Methods}, journal = {SIAM J. Optimization}, pages = {373--417}, volume = {6}, year = {1996}, DOI = {10.1137/0806022}, URL = {http://dx.doi.org/10.1137/0806022} } @ARTICLE{MHeinkenschloss_1997, author = {M. Heinkenschloss}, title = {The Numerical Solution of a Control Problem Governed by a Phase Field Model}, journal = {Optimization Methods and Software}, volume = {7}, year = {1997}, pages = {211--263}, DOI = {10.1080/10556789708805656}, URL = {http://dx.doi.org/10.1080/10556789708805656}, } @ARTICLE{MHeinkenschloss_1998a, author = {M. Heinkenschloss}, title = {A Trust--Region Method for Norm Constrained Problems}, journal = {SIAM J. Numerical Analysis}, pages = {1594--1620}, volume = {35}, year = {1998}, DOI = {10.1137/S0036142994273987}, URL = {http://dx.doi.org/10.1137/S0036142994273987}, } @INPROCEEDINGS{MHeinkenschloss_1998b, author = {M. Heinkenschloss}, title = {Formulation and Analysis of a Sequential Quadratic Programming Method for the Optimal Boundary Control of {N}avier--{S}tokes Flow}, editor = {W. W. Hager and P. M. Pardalos}, booktitle = {Optimal Control: Theory, Algorithms, and Applications}, publisher = {Kluwer Academic Publishers B.V.}, year = {1998}, pages = {178--203}, DOI = {10.1007/978-1-4757-6095-8_9}, URL = {http://dx.doi.org/10.1007/978-1-4757-6095-8_9}, } @techreport{MHeinkenschloss_2000a, author = {M. Heinkenschloss}, title = {Time--Domain Decomposition Iterative Methods for the Solution of Distributed Linear Quadratic Optimal Control Problems}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University, Houston, TX 77005--1892}, number = {TR00--31}, year = {2000}, note = {appeared as \cite{MHeinkenschloss_2005a}} } @INCOLLECTION{MHeinkenschloss2001, author = {M. Heinkenschloss}, title = {{SQP} Interior-Point Methods for Distributed Optimal Control Problems}, booktitle = {Encyclopedia of Optimization}, publisher = {Kluwer Academic Publishers}, address = {Amsterdam}, year = 2001, editor = {C. A. Floudas and P. M. Pardalos}, pages = {xx--yy} } @INCOLLECTION{MHeinkenschloss2002, author = {M. Heinkenschloss}, title = {Optimal Control of Distributed Processes}, booktitle = {Encyclopedia of Life Support Systems (EOLSS)}, chapter = {Theme 6.5 Optimization of Operations Research}, publisher = {Eolss Publishers}, address = {Oxford}, year = 2002, editor = {U.~Derigs (theme editor)}, pages = {xx--yy} } @article{MHeinkenschloss_2005a, AUTHOR = {M. Heinkenschloss}, FAUTHOR = {Heinkenschloss, Matthias}, TITLE = {A time-domain decomposition iterative method for the solution of distributed linear quadratic optimal control problems}, JOURNAL = {J. Comput. Appl. Math.}, FJOURNAL = {Journal of Computational and Applied Mathematics}, VOLUME = {173}, YEAR = {2005}, NUMBER = {1}, PAGES = {169--198}, DOI = {10.1016/j.cam.2004.03.005}, URL = {http://dx.doi.org/10.1016/j.cam.2004.03.005} } @techreport{MHeinkenschloss_2008a, author = {M. Heinkenschloss}, title = {Numerical Solution of Implicitly Constrained Optimization Problems}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University, Houston, TX 77005--1892}, number = {TR08--05}, year = {2008}, note = {Available at \url{http://www.caam.rice.edu/~heinken/mh_publications.html}} } @Inbook{MHeinkenschloss_2008a, fauthor = "Heinkenschloss, Matthias", author = "M. Heinkenschloss", title = "Sequential quadratic programming: interior point methods for distributed optimal control problemsS", editor = "C. A. Floudas and P. M. Pardalos", bookTitle = "Encyclopedia of Optimization", year = "2008", publisher = "Springer US", address = "Boston, MA", pages = "3476--3479", doi = "10.1007/978-0-387-74759-0_597", url = "https://doi.org/10.1007/978-0-387-74759-0_597" } @MISC{MHeinkenschloss_2018a, AUTHOR = {M. Heinkenschloss}, FAUTHOR = {Matthias Heinkenschloss}, title= {Lecture Notes CAAM 454/554 - Numerical Analysis II}, note = {Department of Computational and Applied Mathematics, Rice University}, year = 2018, } @TECHREPORT{MHeinkenschloss_MHerty_2004a, author = {M. Heinkenschloss and M. Herty}, title = {Distributed Solution of Optimal Control Problems Governed by Parabolic Equations}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University}, year = 2004, number = {TR04--24}, note = {published as \cite{MHeinkenschloss_MHerty_2006a}} } @TECHREPORT{MHeinkenschloss_MHerty_2005a, author = {M. Heinkenschloss and M. Herty}, title = {A Spatial Domain Decomposition Method for Parabolic Optimal Control Problems}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University}, year = 2005, number = {TR05--03}, note = {appeared as \cite{MHeinkenschloss_MHerty_2007a}} } @INPROCEEDINGS{MHeinkenschloss_MHerty_2006a, author = {M. Heinkenschloss and M. Herty}, title = {Distributed Solution of Optimal Control Problems Governed by Parabolic Equations}, editor = {A. J. Kurdila and P. M. Pardalos and M. Zabarankin}, booktitle = {Robust Optimization: {D}irected Design}, publisher= {Springer-Verlag}, address = {Heidelberg}, series = {Nonconvex Optimization and Its Applications, Vol.~81}, pages = {73--9s40}, year = {2006}, DOI = {10.1007/0-387-28654-3_4}, URL = {http://dx.doi.org/10.1007/0-387-28654-3_4}, } @article{MHeinkenschloss_MHerty_2007a, author = {M. Heinkenschloss and M. Herty}, title = {A Spatial Domain Decomposition Method for Parabolic Optimal Control Problems}, journal = {Journal of Computational and Applied Mathematics}, volume = {201}, pages = {88--111}, year = {2007}, DOI = {10.1016/j.cam.2006.02.002}, URL = {http://dx.doi.org/10.1016/j.cam.2006.02.002} } @INPROCEEDINGS{MHeinkenschloss_MBHribar_MKokkolaras_1998, author = {M. Heinkenschloss and M. B. Hribar and M. Kokkolaras}, title = {Acceleration of Multidisciplinary Analysis Solvers by Inexact Subsystem Simulations}, booktitle = {Proceedings from the 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, AIAA Paper 98--4712}, address = {St. Louis, MO}, year = {1998}, DOI = {10.2514/6.1998-4712}, URL = {http://dx.doi.org/10.2514/6.1998-4712} } @TECHREPORT{MHeinkenschloss_DJando_2016a, author = {M. Heinkenschloss and D. Jando}, fauthor = {Matthias Heinkenschloss and D{\"o}rte Jando}, title = {Reduced Order Modeling for Time-Dependent Optimization Problems with Initial Value Controls}, month = {December}, year = 2016, institution = {Department of Computational and Applied Mathematics, Rice University, Houston, TX 77005-1892}, type = {Preprint}, note = {Appeared as \cite{MHeinkenschloss_DJando_2018a}} } @article {MHeinkenschloss_DJando_2018a, AUTHOR = {M. Heinkenschloss and D. Jando}, FAUTHOR = {Matthias Heinkenschloss and D{\"o}rte Jando}, TITLE = {Reduced Order Modeling for Time-Dependent Optimization Problems with Initial Value Controls}, JOURNAL = {SIAM J. Sci. Comput.}, FJOURNAL = {SIAM Journal on Scientific Computing}, VOLUME = {40}, YEAR = {2018}, NUMBER = {1}, PAGES = {A22-A51}, DOI = {10.1137/16M1109084}, URL = {https://doi.org/10.1137/16M1109084} } @INCOLLECTION {MHeinkenschloss_DJando_2018b, author = {M. Heinkenschloss and D. Jando}, fauthor = {Matthias Heinkenschloss and D{\"o}rte Jando}, title = {Sequential Reduced Order Modeling for Time-Dependent Optimization Problems with Initial Value Controls}, editor = {W. Keiper and A. Milde and S. Volkwein}, booktitle = {Reduced-Order Modeling ({ROM}) for Simulation and Optimization}, pages = {73--98}, year = {2018}, publisher = {{S}pringer {V}erlag}, doi = {10.1007/978-3-319-75319-5_4}, url = {https://doi.org/10.1007/978-3-319-75319-5_4} } @ARTICLE{MHeinkenschloss_CTKelley_HTTran_1992, author = {M. Heinkenschlo{\ss} and C. T. Kelley and H. T. Tran}, title = {Fast Algorithms for Nonsmooth Compact Fixed Point Problems}, journal = {SIAM J. Numerical Analysis}, year = {1992}, pages = {1769--1822}, volume = {29}, DOI = {10.1137/0729099}, URL = {http://dx.doi.org/10.1137/0729099}, } @article {MHeinkenschloss_BKramer_TTakhtaganov_2019a, AUTHOR = {M. Heinkenschloss and B. Kramer and T. Takhtaganov}, FAUTHOR = {Matthias Heinkenschloss and Boris Kramer and Timur Takhtaganov}, TITLE = {Adaptive Reduced-Order Model Construction for Conditional Value-at-Risk Estimation}, YEAR = {2019}, MONTH = {April}, NOTE = {Available as ACDL TR-2019-02, Massachusetts Institute of Technology} } @article {MHeinkenschloss_BKramer_TTakhtaganov_2020a, AUTHOR = {M. Heinkenschloss and B. Kramer and T. Takhtaganov}, FAUTHOR = {Matthias Heinkenschloss and Boris Kramer and Timur Takhtaganov}, TITLE = {Adaptive Reduced-Order Model Construction for Conditional Value-at-Risk Estimation}, JOURNAL = {SIAM/ASA J. Uncertain. Quantif.}, FJOURNAL = {SIAM/ASA Journal on Uncertainty Quantification}, VOLUME = {8}, YEAR = {2020}, NUMBER = {2}, PAGES = {668-692}, DOI = {10.1137/19M1257433}, URL = {https://doi.org/10.1137/19M1257433} } @TECHREPORT{MHeinkenschloss_BKramer_TTakhtaganov_KWillcox_2017a, author = {M. Heinkenschloss and B. Kramer and T. Takhtaganov and K. Willcox}, fauthor = {Matthias Heinkenschloss and Boris Kramer and Timur Takhtaganov and Karen Willcox}, title = {Conditional-Value-at-Risk Estimation via Reduced-Order Models}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University}, year = 2017, note = {appeared as \cite{MHeinkenschloss_BKramer_TTakhtaganov_KWillcox_2018a}} } @article {MHeinkenschloss_BKramer_TTakhtaganov_KWillcox_2018a, AUTHOR = {M. Heinkenschloss and B. Kramer and T. Takhtaganov and K. Willcox}, FAUTHOR = {Matthias Heinkenschloss and Boris Kramer and Timur Takhtaganov and Karen Willcox}, TITLE = {Conditional-Value-at-Risk Estimation via Reduced-Order Models}, JOURNAL = {SIAM/ASA J. Uncertain. Quantif.}, FJOURNAL = {SIAM/ASA Journal on Uncertainty Quantification}, VOLUME = {6}, YEAR = {2018}, NUMBER = {4}, PAGES = {1395-1423}, DOI = {10.1137/17M1160069}, URL = {https://doi.org/10.1137/17M1160069} } @article {MHeinkenschloss_BKramer_TTakhtaganov_KWillcox_2018b, AUTHOR = {M. Heinkenschloss and B. Kramer and T. Takhtaganov and K. Willcox}, FAUTHOR = {Matthias Heinkenschloss and Boris Kramer and Timur Takhtaganov and Karen Willcox}, TITLE = {SUPPLEMENTARY MATERIALS: Conditional-Value-at-Risk Estimation via Reduced-Order Models}, YEAR = {2018}, DOI = {10.1137/17M1160069}, URL = {https://doi.org/10.1137/17M1160069} } @TECHREPORT{MHeinkenschloss_NJKroeger_2021a, AUTHOR = {M. Heinkenschloss and N. J. Kroeger}, FAUTHOR = {Matthias Heinkenschloss and Nathaniel J. Kroeger}, title = {{ADMM} Based Methods for Time-Domain Decomposition Formulations of Parabolic Optimal Control Problems}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University}, year = 2021 } @TECHREPORT{MHeinkenschloss_NJKroeger_2022a, AUTHOR = {M. Heinkenschloss and N. J. Kroeger}, FAUTHOR = {Matthias Heinkenschloss and Nathaniel J. Kroeger}, title = {A New Diagonalization Based Method for Parallel-in-Time Solution of Linear-Quadratic Optimal Control Problems}, institution = {Department of Computational Applied Mathematics and Operations Research}, address = {Rice University}, year = 2022, NOTE = {submitted, under review} } @INPROCEEDINGS{MHeinkenschloss_MLaumen_EWSachs_1991, author = {M. Heinkenschlost and M. Laumen and E. W. Sachs}, title = {{G}auss--{N}ewton methods with Grid Refinement}, editor = {W. Desch and F. Kappel and K. Kunisch}, booktitle = {Estimation and control of distributed parameter systems ({V}orau, 1990)}, publisher = {Birkh{\"a}user Verlag}, address = {Basel, Boston, Berlin}, pages = {161--174}, year = {1991}, DOI = {10.1007/978-3-0348-6418-3_11}, URL = {http://dx.doi.org/10.1007/978-3-0348-6418-3_11} } @TECHREPORT{MHeinkenschloss_DLeykekhman_2008a, author = {M. Heinkenschloss and D. Leykekhman}, title = {Local Error Estimates for {SUPG} Solutions of Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University}, year = 2008, number = {TR08--30}, note = {appeared as \cite{MHeinkenschloss_DLeykekhman_2010a}} } @article {MHeinkenschloss_DLeykekhman_2010a, AUTHOR = {M. Heinkenschloss and D. Leykekhman}, TITLE = {Local Error Estimates for {SUPG} Solutions of Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {47}, YEAR = {2010}, NUMBER = {6}, PAGES = {4607-4638}, URL = {http://dx.doi.org/10.1137/090759902}, DOI = {10.1137/090759902} } @TECHREPORT{MHeinkenschloss_SLin_2021a, AUTHOR = {M. Heinkenschloss and S. Lin}, FAUTHOR = {Matthias Heinkenschloss and Shengchao Lin}, title = {Multigrid in Time for Optimal Control Problems}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University}, year = 2021, } @TECHREPORT{MHeinkenschloss_CMagruder_2019a, AUTHOR = {M. Heinkenschloss and C. Magruder}, FAUTHOR = {Matthias Heinkenschloss and Caleb Magruder}, TITLE = {Reduced Order Model {H}essian Approximations in Newton Methods for Optimal Control}, INSTITUTION = {Department of Computational and Applied Mathematics}, ADDRESS = {Rice University}, YEAR = {2019}, MONTH = {October} } @INCOLLECTION{MHeinkenschloss_CMagruder_2022a, AUTHOR = {M. Heinkenschloss and C. Magruder}, FAUTHOR = {Matthias Heinkenschloss and Caleb Magruder}, title = {Reduced Order Model {H}essian Approximations in {N}ewton Methods for Optimal Control}, editor = {C. A. Beattie and P. Benner and M. Embree and S. Gugercin and S. Lefteriu}, booktitle = {Realization and Model Reduction of Dynamical Systems - A Festschrift in Honor of the 70th Birthday of {T}hanos {A}ntoulas}, publisher = {Springer International Publishing}, address = {Cham}, pages = {335--351}, year = 2022, URL = {https://doi.org/10.1007/978-3-030-95157-3_18}, DOI = {10.1007/978-3-030-95157-3_18} } @TECHREPORT{MHeinkenschloss_MMarkowski_2022a, AUTHOR = {M. Heinkenschloss and M. Markowski}, FAUTHOR = {Matthias Heinkenschloss and Mae Markowski}, title = {{N}ewton-Based Methods for the Numerical Solution of Risk-Averse Optimization Problems}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University}, year = 2022 } @TECHREPORT{MHeinkenschloss_MMarkowski_2022b, AUTHOR = {M. Heinkenschloss and M. Markowski}, FAUTHOR = {Matthias Heinkenschloss and Mae Markowski}, title = {Smoothing-Based Methods for Risk-Averse PDE-Constrained Optimization Problems}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University}, year = 2022, note = {in preparation} } @INPROCEEDINGS{MHeinkenschloss_HNguyen_2004a, author = {M. Heinkenschloss and H. Nguyen}, title = {Balancing {N}eumann-{N}eumann Methods for Elliptic Optimal Control Problems}, editor = {R. Kornhuber and R. H. W. Hoppe and J. Periaux and O. Pironneau and O. B. Widlund and J. Xu}, booktitle = {Domain Decomposition Methods in Science and Engineering}, publisher= {Springer-Verlag}, address = {Heidelberg}, series = {Lecture Notes in Computational Science and Engineering, Vol.~40}, year = {2004}, pages = {589--596}, DOI = {10.1007/3-540-26825-1_62}, URL = {http://dx.doi.org/10.1007/3-540-26825-1_62}, } @TECHREPORT{MHeinkenschloss_HNguyen_2004b, author = {M. Heinkenschloss and H. Nguyen}, title = {{N}eumann-{N}eumann Domain Decomposition Preconditioners For Linear--Quadratic Elliptic Optimal Control Problems}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University}, year = 2004, number = {TR04--01}, note = {appeared as \cite{MHeinkenschloss_HNguyen_2006a}} } @TECHREPORT{MHeinkenschloss_HNguyen_2004c, author = {M. Heinkenschloss and H. Nguyen}, title = {Domain Decomposition Preconditioners For Linear--Quadratic Elliptic Optimal Control Problems}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University}, year = 2004, number = {TR04--20}, } @article {MHeinkenschloss_HNguyen_2006a, AUTHOR = {M. Heinkenschloss and H. Nguyen}, TITLE = {{N}eumann-{N}eumann Domain Decomposition Preconditioners For Linear--Quadratic Elliptic Optimal Control Problems}, JOURNAL = {SIAM J. Sci. Comput.}, FJOURNAL = {SIAM Journal on Scientific Computing}, VOLUME = {28}, YEAR = {2006}, NUMBER = {3}, PAGES = {1001--1028 (electronic)}, DOI = {10.1137/040612774}, URL = {http://dx.doi.org/10.1137/040612774} } @TECHREPORT{MHeinkenschloss_TReis_ACAntoulas_2009a, author = {M. Heinkenschloss and T. Reis and A. C. Antoulas}, title = {Balanced Truncation Model Reduction for Systems with Inhomogeneous Initial Conditions}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University}, year = 2009, number = {TR09-29}, note = {appeared as \cite{MHeinkenschloss_TReis_ACAntoulas_2011a}} } @article{MHeinkenschloss_TReis_ACAntoulas_2011a, author = "M. Heinkenschloss and T. Reis and A.C. Antoulas", title = "Balanced truncation model reduction for systems with inhomogeneous initial conditions", journal = "Automatica", volume = "47", number = "3", pages = "559 - 564", year = "2011", doi = "10.1016/j.automatica.2010.12.002", url = "http://dx.doi.org/10.1016/j.automatica.2010.12.002" } @INPROCEEDINGS{MHeinkenschloss_DRidzal_2008a, author = {M. Heinkenschloss and D. Ridzal}, title = {Integration of Sequential Quadratic Programming and Domain Decomposition Methods for Nonlinear Optimal Control Problems}, editor = {U. Langer and M. Discacciati and D. Keyes and O. Widlund and W. 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Pritchard}, FAUTHOR = {Hinrichsen, Diederich and Pritchard, Anthony J.}, TITLE = {Mathematical Systems Theory. {I}. {M}odelling, State Space analysis, Stability and Robustness}, SERIES = {Texts in Applied Mathematics}, VOLUME = {48}, NOTE = {Corrected reprint the 2005 edition}, PUBLISHER = {Springer, Heidelberg}, YEAR = {2010}, } @article {WHinterberger_OScherzer_2001a, AUTHOR = {Hinterberger, W. and Scherzer, O.}, TITLE = {Models for image interpolation based on the optical flow}, JOURNAL = {Computing}, FJOURNAL = {Computing. Archives for Scientific Computing}, VOLUME = {66}, YEAR = {2001}, NUMBER = {3}, PAGES = {231--247} } @article {WHinterberger_OScherzer_CSchnoerr_JWeickert_2002a, AUTHOR = {Hinterberger, W. and Scherzer, O. and Schn{\"o}rr, C. and Weickert, J.}, TITLE = {Analysis of optical flow models in the framework of the calculus of variations}, JOURNAL = {Numer. Funct. Anal. Optim.}, FJOURNAL = {Numerical Functional Analysis and Optimization. An International Journal}, VOLUME = {23}, YEAR = {2002}, NUMBER = {1-2}, PAGES = {69--89} } @article {MHintermueller_2002a, AUTHOR = {M. Hinterm{\"u}ller}, FAUTHOR = {Hinterm{\"u}ller, Michael}, TITLE = {Solving nonlinear programming problems with noisy function values and noisy gradients}, JOURNAL = {J. Optim. Theory Appl.}, FJOURNAL = {Journal of Optimization Theory and Applications}, VOLUME = {114}, YEAR = {2002}, NUMBER = {1}, PAGES = {133--169}, DOI = {10.1023/A:1015416221909}, URL = {https://doi.org/10.1023/A:1015416221909}, } @article {MHintermueller_2003a, AUTHOR = {M. Hinterm{\"u}ller}, FAUTHOR = {Hinterm{\"u}ller, Michael}, TITLE = {A primal-dual active set algorithm for bilaterally control constrained optimal control problems}, JOURNAL = {Quart. Appl. Math.}, FJOURNAL = {Quarterly of Applied Mathematics}, VOLUME = {61}, YEAR = {2003}, NUMBER = {1}, PAGES = {131--160} } @article {MHintermueller_2007a, AUTHOR = {M. Hinterm{\"u}ller}, TITLE = {Mesh independence and fast local convergence of a primal-dual active-set method for mixed control-state constrained elliptic control problems}, JOURNAL = {ANZIAM J.}, FJOURNAL = {The ANZIAM Journal. The Australian \& New Zealand Industrial and Applied Mathematics Journal}, VOLUME = {49}, YEAR = {2007}, NUMBER = {1}, PAGES = {1--38}, DOI = {10.1017/S1446181100012657}, URL = {http://doi.org/10.1017/S1446181100012657}, } @MISC {MHintermueller_2010a, AUTHOR = {M. Hinterm{\"u}ller}, FAUTHOR = {Hinterm{\"u}ller, Michael}, TITLE = {Semismooth {N}ewton Methods and Applications}, YEAR = {2010}, Note = {Lecture Notes, Oberwolfach-Seminar on ``Mathematics of {PDE}-Constrained Optimization'' at the Mathematisches Forschungsinstitut in Oberwolfach, November 2010. Available at \url{https://www.math.uni-hamburg.de/home/hinze/Psfiles/Hintermueller_OWNotes.pdf} (accessed May 27, 2020)} } @article {MHintermueller_MHinze_2002a, AUTHOR = {M. Hinterm{\"u}ller and M. Hinze}, TITLE = {Globalization of {SQP}-methods in control of the instationary {N}avier-{S}tokes equations}, JOURNAL = {M2AN Math. Model. Numer. Anal.}, FJOURNAL = {M2AN. Mathematical Modelling and Numerical Analysis}, VOLUME = {36}, YEAR = {2002}, NUMBER = {4}, PAGES = {725--746} } @article {MHintermueller_MHinze_2009a, AUTHOR = {M. Hinterm{\"u}ller and M. Hinze}, FAUTHOR = {Hinterm{\"u}ller, Michael and Hinze, Michael}, TITLE = {Moreau-{Y}osida regularization in state constrained elliptic control problems: error estimates and parameter adjustment}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {47}, YEAR = {2009}, NUMBER = {3}, PAGES = {1666--1683}, DOI = {10.1137/080718735}, URL = {http://doi.org/10.1137/080718735}, } @TECHREPORT{MHintermueller_MHinze_RHWHoppe_2010a, AUTHOR = {M. Hinterm{\"u}ller and M. Hinze and R. H. W. Hoppe}, title = {An Introduction to the A-Posteriori Error Analysis of Elliptic Optimal Control Problems}, note = {http://www.ima.umn.edu/seminar/hoppe/HHH\_MFO\_Adaptive.pdf (accessed June 7, 2011)}, year =2010 } @article {MHintermueller_RHWHoppe_2008a, AUTHOR = {M. Hinterm{\"u}ller and R. H. W. Hoppe}, TITLE = {Goal-oriented adaptivity in control constrained optimal control of partial differential equations}, JOURNAL = {SIAM J. Control Optim.}, FJOURNAL = {SIAM Journal on Control and Optimization}, VOLUME = {47}, YEAR = {2008}, NUMBER = {4}, PAGES = {1721--1743} } @article {MHintermueller_RHWHoppe_YIliash_MKieweg_2008a, AUTHOR = {M. Hinterm{\"u}ller and R. H. W. Hoppe and Y. Iliash and M. Kieweg}, FAUTHOR = {Hinterm{\"u}ller, Michael and Hoppe, Ronald H. W. and Iliash, Yuri and Kieweg, Michael}, TITLE = {An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints}, JOURNAL = {ESAIM Control Optim. Calc. Var.}, FJOURNAL = {ESAIM. Control, Optimisation and Calculus of Variations}, VOLUME = {14}, YEAR = {2008}, NUMBER = {3}, PAGES = {540--560}, DOI = {10.1051/cocv:2007057}, URL = {http://doi.org/10.1051/cocv:2007057} } @article {MHintermueller_KIto_KKunisch_2002a, AUTHOR = {M. Hinterm{\"u}ller and K. Ito and K. Kunisch}, TITLE = {The primal-dual active set strategy as a semismooth {N}ewton method}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {13}, YEAR = {2002}, NUMBER = {3}, PAGES = {865--888 (2003)}, DOI = {10.1137/S1052623401383558}, URL = {http://doi.org/10.1137/S1052623401383558}, } @TECHREPORT{MHintermueller_TKeil_2019a, author = {M. Hinterm\"uller and T. Keil}, fauthor = {Michael Hinterm\"uller and Tobias Keil}, title = {Optimal control of geometric partial differential equations}, NUMBER = {WIAS Preprint No. 2612}, institution = {Weierstrass Institute for Applied Analysis and Stochastics}, address = {Mohrenstr. 39, 10117 Berlin, Germany}, year = 2019, note = {Appeared as \cite{MHintermueller_TKeil_2021a}} } @incollection{MHintermueller_TKeil_2021a, author = {M. Hinterm\"uller and T. Keil}, fauthor = {Michael Hinterm\"uller and Tobias Keil}, title = {Chapter 3 - Optimal control of geometric partial differential equations}, editor = {A. Bonito and R. H. Nochetto}, booktitle = {Geometric Partial Differential Equations - Part II}, series = {Handbook of Numerical Analysis}, publisher = {Elsevier}, volume = {22}, pages = {213-270}, year = {2021}, doi = {10.1016/bs.hna.2020.10.003}, url = {https://doi.org/10.1016/bs.hna.2020.10.003}, } @article {MHintermueller_KKunisch_2006a, AUTHOR = {M. Hinterm{\"u}ller and K. Kunisch}, FAUTHOR = {Hinterm{\"u}ller, Michael and Kunisch, Karl}, TITLE = {Path-following methods for a class of constrained minimization problems in function space}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {17}, YEAR = {2006}, NUMBER = {1}, PAGES = {159--187 (electronic)}, DOI = {10.1137/040611598}, URL = {http://doi.org/10.1137/040611598}, } @article {MHintermueller_KKunisch_2006b, AUTHOR = {M. Hinterm{\"u}ller and K. Kunisch}, TITLE = {Feasible and noninterior path-following in constrained minimization with low multiplier regularity}, JOURNAL = {SIAM J. Control Optim.}, FJOURNAL = {SIAM Journal on Control and Optimization}, VOLUME = {45}, YEAR = {2006}, NUMBER = {4}, PAGES = {1198--1221}, DOI = {10.1137/050637480}, URL = {http://doi.org/10.1137/050637480}, } @article {MHintermueller_KKunisch_2009a, AUTHOR = {M. Hinterm{\"u}ller and K. Kunisch}, FAUTHOR = {Hinterm\"{u}ller, Michael and Kunisch, Karl}, TITLE = {{PDE}-constrained optimization subject to pointwise constraints on the control, the state, and its derivative}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {20}, YEAR = {2009}, NUMBER = {3}, PAGES = {1133--1156}, DOI = {10.1137/080737265}, URL = {https://doi.org/10.1137/080737265}, } @article {MHintermueller_KKunisch_YSpasov_SVolkwein_2004a, AUTHOR = {M. Hinterm{\"u}ller and K. Kunisch and Y. Spasov and S. Volkwein}, FAUTHOR = {Hinterm{\"u}ller, Michael and Kunisch, Karl and Spasov, Yulian and Volkwein, Stefan}, TITLE = {Dynamical systems-based optimal control of incompressible fluids}, JOURNAL = {Internat. J. Numer. Methods Fluids}, FJOURNAL = {International Journal for Numerical Methods in Fluids}, VOLUME = {46}, YEAR = {2004}, NUMBER = {4}, PAGES = {345--359}, DOI = {10.1002/fld.725}, URL = {http://doi.org/10.1002/fld.725}, } @incollection {MHintermuller_ALanger_CNRautenberg_TWu_2018a, AUTHOR = {M. Hinterm\"{u}ller and A. Langer and C. N. Rautenberg and T. Wu}, FAUTHOR = {Hinterm\"{u}ller, Michael and Langer, Andreas and Rautenberg, Carlos N. and Wu, Tao}, TITLE = {Adaptive regularization for image reconstruction from subsampled data}, EDITOR = {X.-C. Tai and E. Bae and M. Lysaker}, BOOKTITLE = {Imaging, vision and learning based on optimization and {PDE}s}, SERIES = {Math. Vis.}, PAGES = {3--26}, PUBLISHER = {Springer, Cham}, YEAR = {2018}, DOI = {10.1007/978-3-319-91274-5_1}, URL = {https://doi.org/10.1007/978-3-319-91274-5_1} } @article {MHintermuller_KPapafitsoros_CNRautenberg_2017a, FAUTHOR = {Hinterm\"{u}ller, Michael and Papafitsoros, Konstantinos and Rautenberg, Carlos N.}, AUTHOR = {M. Hinterm\"{u}ller and K. Papafitsoros and C. N. Rautenberg}, TITLE = {Analytical aspects of spatially adapted total variation regularisation}, JOURNAL = {J. Math. Anal. Appl.}, FJOURNAL = {Journal of Mathematical Analysis and Applications}, VOLUME = {454}, YEAR = {2017}, NUMBER = {2}, PAGES = {891--935}, DOI = {10.1016/j.jmaa.2017.05.025}, URL = {https://doi.org/10.1016/j.jmaa.2017.05.025}, } @article {MHintermueller_CNRautenberg_2017a, FAUTHOR = {Hinterm\"uller, Michael and Rautenberg, Carlos N.}, AUTHOR = {M. Hinterm\"uller and C. N. Rautenberg}, TITLE = {Optimal selection of the regularization function in a weighted total variation model. {P}art {I}: {M}odelling and theory}, JOURNAL = {J. Math. Imaging Vision}, FJOURNAL = {Journal of Mathematical Imaging and Vision}, VOLUME = {59}, YEAR = {2017}, NUMBER = {3}, PAGES = {498--514}, DOI = {10.1007/s10851-017-0744-2}, URL = {https://doi.org/10.1007/s10851-017-0744-2}, } @article {MHintermuller_CNRautenberg_MMohammadi_MKanitsar_2017a, AUTHOR = {M. Hinterm\"{u}ller and C. N. Rautenberg and M. Mohammadi and M. Kanitsar}, FAUTHOR = {Hinterm\"{u}ller, Michael and Rautenberg, Carlos N. and Mohammadi, Masoumeh and Kanitsar, Martin}, TITLE = {Optimal sensor placement: a robust approach}, JOURNAL = {SIAM J. Control Optim.}, FJOURNAL = {SIAM Journal on Control and Optimization}, VOLUME = {55}, YEAR = {2017}, NUMBER = {6}, PAGES = {3609--3639}, DOI = {10.1137/16M1088867}, URL = {https://doi.org/10.1137/16M1088867}, } @article {MHintermueller_CNRautenberg_TWu_ALanger_2017a, FAUTHOR = {Hinterm\"uller, Michael and Rautenberg, Carlos N. and Wu, Tao and Langer, Andreas}, AUTHOR = {M. Hinterm\"uller and C. N. Rautenberg and T. Wu and A. Langer}, TITLE = {Optimal selection of the regularization function in a weighted total variation model. {P}art {II}: {A}lgorithm, its analysis and numerical tests}, JOURNAL = {J. Math. Imaging Vision}, FJOURNAL = {Journal of Mathematical Imaging and Vision}, VOLUME = {59}, YEAR = {2017}, NUMBER = {3}, PAGES = {515--533}, DOI = {10.1007/s10851-017-0736-2}, URL = {https://doi.org/10.1007/s10851-017-0736-2}, } @article {MHintermueller_LNVicente_2005a, AUTHOR = {M. Hinterm\"{u}ller and L. N. Vicente}, FAUTHOR = {Hinterm\"{u}ller, Michael and Vicente, Lu\'{\i}s N.}, TITLE = {Space mapping for optimal control of partial differential equations}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {15}, YEAR = {2005}, NUMBER = {4}, PAGES = {1002--1025}, DOI = {10.1137/S105262340342907X}, URL = {https://doi.org/10.1137/S105262340342907X}, } @article{GEHinton_LDeng_DYu_GEDahl_AMohamed_NJaitly_ASenior_VVanhoucke_PNguyen_TNSainath_BKinsbury_2012a, author = {G. E. Hinton and L. Deng and D. Yu and G. E. Dahl and A. Mohamed and N. Jaitly and A. Senior and V. Vanhoucke and P. Nguyen and T. N. Sainath and B.Kingsbury}, fauthor = {Hinton, Geoffrey and Deng, Li and Yu, Dong and Dahl, George E and Mohamed, Abdel-rahman and Jaitly, Navdeep and Senior, Andrew and Vanhoucke, Vincent and Nguyen, Patrick and Sainath, Tara N. and Kingsbury, Brian}, title = {Deep neural networks for acoustic modeling in speech recognition: {T}he shared views of four research groups}, journal = {IEEE Signal Processing Magazine}, volume = {29}, number = {6}, pages = {82--97}, year = {2012}, url = {https://doi.org/10.1109/MSP.2012.2205597}, doi = {10.1109/MSP.2012.2205597} } @TECHREPORT{MHinze_2000a, author = {M. Hinze}, title = {Optimal and Instantaneous Control of the instationary {N}avier--{S}tokes equations}, institution = {Fachbereich Mathematik Technische Universit{\"a}t Berlin}, address = {Strasse des 17 Juni 136, D--10623 Berlin, Germany}, note = {Habilitation Thesis}, year =2000 } @TECHREPORT{MHinze_2002a, author = {M. Hinze}, title = {Instantaneous closed loop control of the {N}avier--{S}tokes system}, institution = {Fachbereich Mathematik Technische Universit{\"a}t Dresden}, address = {Zellescher Weg 12--14, D-01062 Dresden, Germany}, note = {http://www.math.tu-dresden.de/$\sim$hinze}, year =2002 } @ARTICLE{MHinze_2005a, AUTHOR = {M. Hinze}, TITLE = {A variational discretization concept in control constrained optimization: the linear-quadratic case}, JOURNAL = {J. Computational Optimization and Applications}, VOLUME = {30}, YEAR = {2005}, PAGES = {45--63}, DOI = {10.1007/s10589-005-4559-5}, URL = {http://doi.org/10.1007/s10589-005-4559-5}, } @article {MHinze_2005b, AUTHOR = {M. Hinze}, TITLE = {Instantaneous closed loop control of the {N}avier-{S}tokes system}, JOURNAL = {SIAM J. Control Optim.}, FJOURNAL = {SIAM Journal on Control and Optimization}, VOLUME = {44}, YEAR = {2005}, NUMBER = {2}, PAGES = {564--583}, DOI = {10.1137/S036301290241246X}, URL = {http://doi.org/10.1137/S036301290241246X}, } @TECHREPORT{MHinze_AKauffmann_1998a, author = {M. Hinze and A. Kauffmann}, title = {On a Distributed Control Law with an Application to the Control of Unsteady Flow around a Cylinder}, institution = {Fachbereich Mathematik Technische Universit{\"a}t Berlin}, address = {Strasse des 17 Juni 136, D--10623 Berlin, Germany}, number = {597--1998}, year =1998 } @TECHREPORT{MHinze_AKauffmann_1998b, author = {M. Hinze and A. Kauffmann}, title = {A New Class of Feedback Laws for the Control of Dynamical Systems}, institution = {Fachbereich Mathematik, Technische Universit{\"a}t Berlin}, address = {Strasse des 17 Juni 136, D--10623 Berlin, Germany}, number = {602--1998}, year =1998 } @incollection {MHinze_MKoster_STurek_2012a, AUTHOR = {M. Hinze and M. K\"oster and S. Turek}, FAUTHOR = {Hinze, Michael and K\"oster, Michael and Turek, Stefan}, TITLE = {A space-time multigrid method for optimal flow control}, EDITOR = {G. Leugering and S. Engell and A. Griewank and M. Hinze and R. Rannacher and V. Schulz and M. Ulbrich and S. Ulbrich}, BOOKTITLE = {Constrained optimization and optimal control for partial differential equations}, SERIES = {Internat. Ser. Numer. Math.}, VOLUME = {160}, PAGES = {147--170}, PUBLISHER = {Birkh\"auser/Springer Basel AG, Basel}, YEAR = {2012}, DOI = {10.1007/978-3-0348-0133-1_8}, URL = {https://doi.org/10.1007/978-3-0348-0133-1_8}, } @incollection {MHinze_MKoster_STurek_2014a, AUTHOR = {M. Hinze and M. K\"oster and S. Turek}, FAUTHOR = {Hinze, Michael and K\"oster, Michael and Turek, Stefan}, TITLE = {Space-time {N}ewton-multigrid strategies for nonstationary distributed and boundary flow control problems}, EDITOR = {G. Leugering and P. Benner and S. Engell and A. Griewank and H. Harbrecht and M. Hinze and R. Rannacher and S. Ulbrich}, BOOKTITLE = {Trends in {PDE} constrained optimization}, SERIES = {Internat. Ser. Numer. Math.}, VOLUME = {165}, PAGES = {383--401}, PUBLISHER = {Birkh\"auser/Springer, Cham}, YEAR = {2014}, DOI = {10.1007/978-3-319-05083-6_24}, URL = {https://doi.org/10.1007/978-3-319-05083-6_24}, } @INCOLLECTION{MHinze_KKunisch_1997a, author = {M. Hinze and K. Kunisch}, title = {Suboptimal Control Strategies for Backward Facing Step Flows}, editor = {A. Sydow}, booktitle = {Scientific Computing}, publisher = {{IMACS} / North--Holland}, address = {Amsterdam, New York, Oxford, Tokyo}, volume = {3}, pages = {53--58}, year = 1997, note = {{\tt http://www.kfunigraz.ac.at/imawww/kunisch/publist.html}} } @INPROCEEDINGS{MHinze_KKunisch_1998, author = {M. Hinze and K. Kunisch}, title = {On Suboptimal Control Strategies for the {N}avier--{S}tokes Equations}, booktitle = {ESIAM Proceedings, Vol.~4, Control and partial differential equations}, pages = {181--198}, year =1998, URL = {http://doi.org/10.1051/proc:1998028}, DOI = {10.1051/proc:1998028} } @ARTICLE{MHinze_KKunisch_2000, AUTHOR = {M. Hinze and K. Kunisch}, TITLE = {Three control methods for time-dependent fluid flow}, JOURNAL = {Flow, Turbulence and Combustion. An International Journal}, VOLUME = {65}, YEAR = {2000}, NUMBER = {3-4}, PAGES = {273--298} } @ARTICLE{MHinze_KKunisch_2001a, author = {M. Hinze and K. Kunisch}, title = {Second Order Methods for Optimal Control of Time--Dependent Fluid Flow}, journal = {SIAM J. Control and Optimization}, pages = {925--946}, volume = 40, year =2001 } @incollection{MHinze_MKunkel_2012a, author={M. Hinze and M. Kunkel}, fauthor={Hinze, Michael and Kunkel, Martin}, title={Discrete Empirical Interpolation in POD Model Order Reduction of Drift-Diffusion Equations in Electrical Networks}, editor={Michielsen, Bastiaan and Poirier, Jean-Rene}, booktitle={Scientific Computing in Electrical Engineering SCEE 2010}, series={Mathematics in Industry}, doi={10.1007/978-3-642-22453-9_45}, url={http://doi.org/10.1007/978-3-642-22453-9_45}, publisher={Springer Berlin Heidelberg}, pages={423-431}, year={2012}, } @article {MHinze_MKunkel_2012b, AUTHOR = {M. Hinze and M. Kunkel}, FAUTHOR = {Hinze, Michael and Kunkel, Martin}, TITLE = {Residual based sampling in {POD} model order reduction of drift-diffusion equations in parametrized electrical networks}, JOURNAL = {ZAMM Z. Angew. Math. Mech.}, FJOURNAL = {ZAMM. Zeitschrift f\"ur Angewandte Mathematik und Mechanik. Journal of Applied Mathematics and Mechanics}, VOLUME = {92}, YEAR = {2012}, NUMBER = {2}, PAGES = {91--104}, DOI = {10.1002/zamm.201100004}, URL = {http://doi.org/10.1002/zamm.201100004}, } @incollection {MHinze_RPinnau_2001a, AUTHOR = {M. Hinze and R. Pinnau}, FAUTHOR = {Hinze, Michael and Pinnau, Ren{\'e}}, TITLE = {Optimal control of the drift diffusion model for semiconductor devices}, BOOKTITLE = {Optimal control of complex structures (Oberwolfach, 2000)}, SERIES = {Internat. Ser. Numer. Math.}, VOLUME = {139}, PAGES = {95--106}, PUBLISHER = {Birkh\"auser}, ADDRESS = {Basel}, YEAR = {2002} } @TECHREPORT{MHinze_RPinnau_2001b, AUTHOR = {M. Hinze and R. Pinnau}, TITLE = {An optimal control approach to semiconductor design}, institution = {Fachbereich Mathematik Technische Universit{\"a}t Dresden}, address = {Zellescher Weg 12--14, D-01062 Dresden, Germany}, year =2001, note = {appeared as \cite{MHinze_RPinnau_2002a}} } @ARTICLE{MHinze_RPinnau_2002a, AUTHOR = {M. Hinze and R. Pinnau}, TITLE = {An optimal control approach to semiconductor design}, JOURNAL = {Mathematical Models \& Methods in Applied Sciences}, VOLUME = {12}, YEAR = {2002}, NUMBER = {1}, PAGES = {89--107} } @article {MHinze_RPinnau_2007a, AUTHOR = {M. Hinze and R. Pinnau}, TITLE = {Second-order approach to optimal semiconductor design}, JOURNAL = {J. Optim. Theory Appl.}, FJOURNAL = {Journal of Optimization Theory and Applications}, VOLUME = {133}, YEAR = {2007}, NUMBER = {2}, PAGES = {179--199} } @BOOK{MHinze_RPinnau_MUlbrich_SUlbrich_2009a, author = {M. Hinze and R. Pinnau and M. Ulbrich and S. Ulbrich}, title = {Optimization with {PDE} Constraints}, series = {Mathematical Modelling, Theory and Applications}, volume = {23}, publisher = {Springer Verlag}, address = {Heidelberg, New York, Berlin}, year = 2009, doi = {10.1007/978-1-4020-8839-1}, url = {http://doi.org/10.1007/978-1-4020-8839-1} } @article {MHinze_TSlawig_2003a, AUTHOR = {M. Hinze and T. Slawig}, TITLE = {Adjoint gradients compared to gradients from algorithmic differentiation in instantaneous control of the {N}avier-{S}tokes equations}, JOURNAL = {Optim. Methods Softw.}, FJOURNAL = {Optimization Methods \& Software}, VOLUME = {18}, YEAR = {2003}, NUMBER = {3}, PAGES = {299--315} } @TECHREPORT{MHinze_SVolkwein_1999a, author = {M. Hinze and S. Volkwein}, title = {Instantaneous Control for the Instationary {B}urgers Equation -- Convergence Analysis \& Numerical Implementation}, institution = {Karl--Franzens--Universit{\"a}t Graz, Spezialforschungsbereich F003 -- Kontrolle und Optimierung}, address = {Heinrichstr. 36, A--8010 Graz, Austria}, number = {170}, year =1999 } @ARTICLE{MHinze_SVolkwein_2002a, AUTHOR = {M. Hinze and S. Volkwein}, TITLE = {Analysis of instantaneous control for the {B}urgers equation}, JOURNAL = {Nonlinear Analysis. Theory, Methods \& Applications. An International Multidisciplinary Journal. Series A: Theory and Methods}, VOLUME = {50}, YEAR = {2002}, NUMBER = {1, Ser. A: Theory Methods}, PAGES = {1--26} } @INPROCEEDINGS{MHinze_SVolkwein_2005a, AUTHOR = {M. Hinze and S. Volkwein}, title = {Proper Orthogonal Decomposition Surrogate Models for Nonlinear Dynamical Systems: Error Estimates and Suboptimal Control}, editor = {P. Benner and V. Mehrmann and D. C. Sorensen}, booktitle= {Dimension Reduction of Large-Scale Systems}, publisher= {Springer-Verlag}, address = {Heidelberg}, series = {Lecture Notes in Computational Science and Engineering, Vol.~45}, year = {2005}, pages = {261--306}, doi = {10.1007/3-540-27909-1_10}, url = {http://doi.org/10.1007/3-540-27909-1_10} } @article {MHinze_SVolkwein_2008a, AUTHOR = {M. Hinze and S. Volkwein}, TITLE = {Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition}, JOURNAL = {Comput. Optim. Appl.}, FJOURNAL = {Computational Optimization and Applications. An International Journal}, VOLUME = {39}, YEAR = {2008}, NUMBER = {3}, PAGES = {319--345}, DOI = {10.1007/s10589-007-9058-4}, URL = {http://doi.org/10.1007/s10589-007-9058-4}, } @TECHREPORT{MHinze_AWalther_2002a, author = {M. Hinze and A. 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Ito}, title = {Boundary Temperature Control for Thermally Coupled {N}avier--{S}tokes Equations}, editor = {W. Desch and F. Kappel and K. Kunisch}, booktitle = {Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena}, series = {Int. Series of Numer. Math. Vol.~118}, publisher = {Birkh{\"a}user Verlag}, address = {Basel, Boston, Berlin}, pages = {211--230}, year = {1994} } @book {KIto_BJin_2015a, AUTHOR = {K. Ito and B. Jin}, FAUTHOR = {Ito, Kazufumi and Jin, Bangti}, TITLE = {Inverse problems. {T}ikhonov theory and algorithms}, SERIES = {Series on Applied Mathematics}, VOLUME = {22}, PUBLISHER = {World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ}, YEAR = {2015}, URL = {https://doi.org/10.1142/9120}, DOI = {10.1142/9120} } @ARTICLE{SIto_CTKelley_EWSachs_1995, author = {S. Ito and C. T. Kelley and E. W. Sachs}, title = {Inexact Primal--Dual Interior--Point Iteration for Linear Programs in Function Spaces}, journal = {Computational Optimization and Applications}, year = 1995, pages = {189--201}, volume = 4 } @ARTICLE{KIto_MKroller_KKunisch_1991, AUTHOR = {K. Ito and M. Kroller and K. Kunisch}, TITLE = {A numerical study of an augmented {L}agrangian method for the estimation of parameters in elliptic systems}, JOURNAL = {SIAM J. Sci. Statist. Comput.}, FJOURNAL = {Society for Industrial and Applied Mathematics. Journal on Scientific and Statistical Computing}, VOLUME = {12}, YEAR = {1991}, NUMBER = {4}, PAGES = {884--910}, DOI = {10.1137/0912048}, URL = {https://doi.org/10.1137/0912048}, } @ARTICLE{KIto_KKunisch_1990a, AUTHOR = {K. Ito and K. Kunisch}, FAUTHOR = {Ito, K. and Kunisch, K.}, TITLE = {The augmented {L}agrangian method for equality and inequality constraints in {H}ilbert spaces}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {46}, YEAR = {1990}, NUMBER = {3, (Ser. A)}, PAGES = {341--360}, DOI = {10.1007/BF01585750}, URL = {https://doi.org/10.1007/BF01585750}, } @ARTICLE{KIto_KKunisch_1990b, AUTHOR = {K. Ito and K. Kunisch}, FAUTHOR = {Ito, Kazufumi and Kunisch, Karl}, TITLE = {The augmented {L}agrangian method for parameter estimation in elliptic systems}, JOURNAL = {SIAM J. Control Optim.}, FJOURNAL = {SIAM Journal on Control and Optimization}, VOLUME = {28}, YEAR = {1990}, NUMBER = {1}, PAGES = {113--136}, DOI = {10.1137/0328006}, URL = {https://doi.org/10.1137/0328006}, } @ARTICLE{KIto_KKunisch_1996a, author = {K. Ito and K. Kunisch}, title = {Augmented {L}agrangian--{SQP} Methods in {H}ilbert Spaces with Application to Control in the Coefficients Problems}, journal = {SIAM J. Optimization}, volume = {6}, pages = {96--125}, year = 1996 } @ARTICLE{KIto_KKunisch_1996b, author = {K. Ito and K. Kunisch}, title = {Augmented {L}agrangian--{SQP} Methods for Nonlinear Optimal Control Problems of Tracking Type}, journal = {SIAM J. Control and Optimization}, volume = {34}, pages = {874--891}, year = 1996 } @TECHREPORT{KIto_KKunisch_1998, author = {K. Ito and K. Kunisch}, title = {The {N}ewton-Algorithm for a Class of Weakly Singular Optimal Control Problems}, institution = {Institut f{\"u}r Mathematik Karl-Franzens-Universit{\"a}t Graz}, address = {A--8010 Graz, Austria}, year =1998 } @article {KIto_KKunisch_2002a, AUTHOR = {K. Ito and K. Kunisch}, FAUTHOR = {Ito, Kazufumi and Kunisch, Karl}, TITLE = {Receding horizon optimal control for infinite dimensional systems}, JOURNAL = {ESAIM Control Optim. Calc. Var.}, FJOURNAL = {ESAIM. Control, Optimisation and Calculus of Variations. European Series in Applied and Industrial Mathematics}, VOLUME = {8}, YEAR = {2002}, PAGES = {741--760 (electronic)}, DOI = {10.1051/cocv:2002032}, URL = {http://doi.org/10.1051/cocv:2002032}, } @article {KIto_KKunisch_2002b, AUTHOR = {K. Ito and K. Kunisch}, FAUTHOR = {Ito, Kazufumi and Kunisch, Karl}, TITLE = {Asymptotic properties of receding horizon optimal control problems}, JOURNAL = {SIAM J. Control Optim.}, FJOURNAL = {SIAM Journal on Control and Optimization}, VOLUME = {40}, YEAR = {2002}, NUMBER = {5}, PAGES = {1585--1610 (electronic)}, DOI = {10.1137/S0363012900369423}, URL = {http://doi.org/10.1137/S0363012900369423}, } @article {KIto_KKunisch_2002c, AUTHOR = {K. Ito and K. Kunisch}, FAUTHOR = {Ito, Kazufumi and Kunisch, Karl}, TITLE = {Optimal control of the solid fuel ignition model with {$H^1$}-cost}, JOURNAL = {SIAM J. Control Optim.}, FJOURNAL = {SIAM Journal on Control and Optimization}, VOLUME = {40}, YEAR = {2002}, NUMBER = {5}, PAGES = {1455--1472 (electronic)}, DOI = {10.1137/S0363012900366042}, URL = {http://doi.org/10.1137/S0363012900366042}, } @article {KIto_KKunisch_2003a, AUTHOR = {K. Ito and K. Kunisch}, FAUTHOR = {Ito, Kazufumi and Kunisch, Karl}, TITLE = {Semi-smooth {N}ewton methods for state-constrained optimal control problems}, JOURNAL = {Systems Control Lett.}, FJOURNAL = {Systems \& Control Letters}, VOLUME = {50}, YEAR = {2003}, NUMBER = {3}, PAGES = {221--228}, DOI = {10.1016/S0167-6911(03)00156-7}, URL = {https://doi.org/10.1016/S0167-6911(03)00156-7}, } @article {KIto_KKunisch_2006a, AUTHOR = {K. Ito and K. Kunisch}, FAUTHOR = {Ito, Kazufumi and Kunisch, Karl}, TITLE = {Reduced order control based on approximate inertial manifolds}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {415}, YEAR = {2006}, NUMBER = {2-3}, PAGES = {531--541} } @article {KIto_KKunisch_2007a, AUTHOR = {K. Ito and K. Kunisch}, FAUTHOR = {Ito, Kazufumi and Kunisch, Karl}, TITLE = {Convergence of the primal-dual active set strategy for diagonally dominant systems}, JOURNAL = {SIAM J. Control Optim.}, FJOURNAL = {SIAM Journal on Control and Optimization}, VOLUME = {46}, YEAR = {2007}, NUMBER = {1}, PAGES = {14--34 (electronic)} } @book {KIto_KKunisch_2008a, AUTHOR = {K. Ito and K. Kunisch}, FAUTHOR = {Ito, Kazufumi and Kunisch, Karl}, TITLE = {Lagrange multiplier approach to variational problems and applications}, SERIES = {Advances in Design and Control}, VOLUME = {15}, PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA}, YEAR = {2008}, DOI = {10.1137/1.9780898718614}, URL = {http://doi.org/10.1137/1.9780898718614}, } @article {KIto_KKunisch_GHPeichl_2008a, AUTHOR = {K. Ito and K. Kunisch and G. H. Peichl}, FAUTHOR = {Ito, Kazufumi and Kunisch, Karl and Peichl, Gunther H.}, TITLE = {Variational approach to shape derivatives}, JOURNAL = {ESAIM Control Optim. Calc. Var.}, FJOURNAL = {ESAIM. Control, Optimisation and Calculus of Variations}, VOLUME = {14}, YEAR = {2008}, NUMBER = {3}, PAGES = {517--539}, DOI = {10.1051/cocv:2008002}, URL = {http://doi.org/10.1051/cocv:2008002}, } @article {KIto_KKunisch_VSchulz_IGherman_2009a, AUTHOR = {K. Ito and K. Kunisch and V. Schulz and I. Gherman}, FAUTHOR = {Ito, Kazufumi and Kunisch, Karl and Schulz, Volker and Gherman, Ilia}, TITLE = {Approximate nullspace iterations for {KKT} systems}, JOURNAL = {SIAM J. Matrix Anal. Appl.}, FJOURNAL = {SIAM Journal on Matrix Analysis and Applications}, VOLUME = {31}, YEAR = {2009/10}, NUMBER = {4}, PAGES = {1835--1847}, DOI = {10.1137/080724952}, URL = {https://doi.org/10.1137/080724952}, } @article {SIto_YLiu_KLTeo_2000a, AUTHOR = {Ito, S. and Liu, Y. and Teo, K. L.}, TITLE = {A dual parametrization method for convex semi-infinite programming}, JOURNAL = {Ann. Oper. Res.}, FJOURNAL = {Annals of Operations Research}, VOLUME = {98}, YEAR = {2000}, PAGES = {189--213 (2001)} } @TECHREPORT{KIto_SSRavindran_1996a, author = {K. Ito and S. S. 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John}, FAUTHOR = {John, Volker}, TITLE = {Large eddy simulation of turbulent incompressible flows}, SERIES = {Lecture Notes in Computational Science and Engineering}, VOLUME = {34}, NOTE = {Analytical and numerical results for a class of LES models}, PUBLISHER = {Springer-Verlag, Berlin}, YEAR = {2004}, DOI = {10.1007/978-3-642-18682-0}, URL = {https://doi.org/10.1007/978-3-642-18682-0}, } @article{VJohn_2004b, AUTHOR = {V. John}, FAUTHOR = {John, Volker}, title = {Reference values for drag and lift of a two-dimensional time-dependent flow around a cylinder}, journal = {International Journal for Numerical Methods in Fluids}, volume = {44}, number = {7}, pages = {777--788}, year = {2004}, doi = {10.1002/fld.679}, url = {http://doi.org/10.1002/fld.679}, } @article {VJohn_2006a, AUTHOR = {V. John}, FAUTHOR = {John, Volker}, TITLE = {On the efficiency of linearization schemes and coupled multigrid methods in the simulation of a 3{D} flow around a cylinder}, JOURNAL = {Internat. J. Numer. Methods Fluids}, FJOURNAL = {International Journal for Numerical Methods in Fluids}, VOLUME = {50}, YEAR = {2006}, NUMBER = {7}, PAGES = {845--862} } @book {VJohn_2016a, AUTHOR = {V. John}, FAUTHOR = {John, Volker}, AUTHOR = {John, Volker}, TITLE = {Finite element methods for incompressible flow problems}, SERIES = {Springer Series in Computational Mathematics}, VOLUME = {51}, PUBLISHER = {Springer, Cham}, YEAR = {2016}, DOI = {10.1007/978-3-319-45750-5}, URL = {https://doi.org/10.1007/978-3-319-45750-5}, } @article {VJohn_ALinke_CMerdon_MNeilan_LGRebholz_2017a, AUTHOR = {V. John and A. Linke and C. Merdon and M. Neilan and L. G. Rebholz}, FAUTHOR = {John, Volker and Linke, Alexander and Merdon, Christian and Neilan, Michael and Rebholz, Leo G.}, TITLE = {On the divergence constraint in mixed finite element methods for incompressible flows}, JOURNAL = {SIAM Rev.}, FJOURNAL = {SIAM Review}, VOLUME = {59}, YEAR = {2017}, NUMBER = {3}, PAGES = {492--544}, DOI = {10.1137/15M1047696}, URL = {https://doi.org/10.1137/15M1047696}, } @article {VJohn_GMatthies_2001a, AUTHOR = {V. John and G. Matthies}, fauthor = {John, Volker and Matthies, Gunar}, title = {Higher-order finite element discretizations in a benchmark problem for incompressible flows}, journal = {International Journal for Numerical Methods in Fluids}, volume = {37}, number = {8}, pages = {885--903}, year = {2001}, url = {http://doi.org/10.1002/fld.195}, doi = {10.1002/fld.195} } @article {VJohn_GMatthies_FSchieweck_LTobiska_1998a, AUTHOR = {John, V. and Matthies, G. and Schieweck, F. and Tobiska, L.}, TITLE = {A streamline-diffusion method for nonconforming finite element approximations applied to convection-diffusion problems}, JOURNAL = {Comput. Methods Appl. Mech. Engrg.}, FJOURNAL = {Computer Methods in Applied Mechanics and Engineering}, VOLUME = {166}, YEAR = {1998}, NUMBER = {1-2}, PAGES = {85--97} } @article {VJohn_GMatthies_JRang_2006a, AUTHOR = {V. John and G. Matthies and J. 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Sachs}, title= {A new proof of superlinear convergence for {B}royden's method in {H}ilbert spaces}, journal= {SIAM J. Optimization}, volume = {1}, year = {1991}, pages = {146--150} } @ARTICLE{CTKelley_EWSachs_1991b, author= {C. T. Kelley and E. W. Sachs}, title= {Mesh independence of {N}ewton--like methods for infinite dimensional problems}, journal= {J. of Integral Equations and Applications}, volume = {3}, year = {1991}, pages = {549--573} } @ARTICLE{CTKelley_EWSachs_1992, author= {C. T. Kelley and E. W. Sachs}, title= {Mesh Independence of the gradient projection method for Optimal Control Problems}, journal= {SIAM J.Control and Optimization}, volume = {30}, year = {1992}, pages = {477--493} } @article {CTKelley_EWSachs_1993a, AUTHOR = {C. T. Kelley and E. W. Sachs}, TITLE = {Pointwise {B}royden methods}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {3}, YEAR = {1993}, NUMBER = {2}, PAGES = {423--441} } @ARTICLE{CTKelley_EWSachs_1994, author= {C. 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Appl.}, FJOURNAL = {Numerical Mathematics: Theory, Methods and Applications}, VOLUME = {1}, YEAR = {2008}, NUMBER = {3}, PAGES = {245-274} } inproceedings{VRKostic_PNovelli_AMaurer_CCiliberto_LRosasco_MPontil_2023a, AUTHOR = {V. R. Kostic and P. Novelli and A. Maurer and C. Ciliberto and L. Rosasco and M. Pontil}, FAUTHOR = {Vladimir R. Kostic and Pietro Novelli and Andreas Maurer and Carlo Ciliberto and Lorenzo Rosasco and Massimiliano Pontil}, TITLE = {Learning Dynamical Systems via {K}oopman Operator Regression in {R}eproducing {K}ernel {H}ilbert {S}paces}, BOOKTITLE = {Proceedings of the 36th International Conference on Neural Information Processing Systems (NeurIPS 2023)}, YEAR = {2022}, NOTE = {Also available as arXiv:2205.14027v2}, DOI = {10.48550/arXiv.2205.14027}, URL = {https://doi.org/10.48550/arXiv.2205.14027} } @TECHREPORT{EKostina_2001, author = {E. Kostina}, title = {Robust Parameter Estimation in Dynamic Systems}, institution = {Interdisziplin{\"a}res Zentrum f{\"u}r Wissenschaftliches Rechnen (IWR)}, address = {Universti{\"a}t Heidelberg}, number = {2001--14}, year = {2001}, url = {http://www.iwr.uni-heidelberg.de/Preprints2001.html} } @article {EKostina_OKostyukova_2006a, AUTHOR = {E. Kostina and O. Kostyukova}, FAUTHOR = {Kostina, Ekaterina and Kostyukova, Olga}, TITLE = {Generalized implicit function theorem and its application to parametric optimal control problems}, JOURNAL = {J. Math. Anal. Appl.}, FJOURNAL = {Journal of Mathematical Analysis and Applications}, VOLUME = {320}, YEAR = {2006}, NUMBER = {2}, PAGES = {736--755}, DOI = {10.1016/j.jmaa.2005.07.049}, URL = {https://doi.org/10.1016/j.jmaa.2005.07.049}, } @incollection {EKostina_OKostyukova_2012a, AUTHOR = {E. Kostina and O. Kostyukova}, FAUTHOR = {Kostina, Ekaterina and Kostyukova, Olga}, TITLE = {Computing covariance matrices for constrained nonlinear large scale parameter estimation problems using {K}rylov subspace methods}, BOOKTITLE = {Constrained optimization and optimal control for partial differential equations}, SERIES = {Internat. Ser. Numer. Math.}, VOLUME = {160}, PAGES = {197--212}, PUBLISHER = {Birkh\"{a}user/Springer Basel AG, Basel}, YEAR = {2012}, DOI = {10.1007/978-3-0348-0133-1_11}, URL = {https://doi.org/10.1007/978-3-0348-0133-1_11}, } @TECHREPORT{EKostina_MASaunders_ISchierle_2009a, author = {E. Kostina and M. A. Saunders and I. Schierle}, TITLE = {Computation of covariance matrices for constrained parameter estimation problems using {LSQR}}, number = {SOL 2009-1}, institution = {Systems Optimization Laboratory, Department of Management Science and Engineering, Stanford University}, address = {Stanford, CA}, year = 2009 } @article {MKostuk_BAToth_CDMeliza_DMargoliash_HDIAbarbanel_2012a, AUTHOR = {M. Kostuk and B. A. Toth and C. D. Meliza and D. Margoliash and H. D. I. Abarbanel}, FAUTHOR = {Mark Kostuk and Bryan A. Toth and C. Daniel Meliza and Daniel Margoliash and Henry D. I. Abarbanel}, TITLE = {Dynamical estimation of neuron and network properties {II}: {P}ath integral {M}onte {C}arlo methods}, JOURNAL = {Biol. Cybern.}, FJOURNAL = {Biological Cybernetics}, VOLUME = {106}, YEAR = {2012}, NUMBER = {3}, PAGES = {155?167}, DOI = {10.1007/s00422-012-0487-5}, URL = {https://doi.org/10.1007/s00422-012-0487-5}, } @Article{MKostur_MSchindler_PTalkner_PHanggi_2006a, author = {M. Kostur and M. Schindler and P. Talkner and P. H\"anggi}, fauthor = {Kostur, Marcin and Schindler, Michael and Talkner, Peter and H\"anggi, Peter }, title = {Chiral Separation in Microflows}, journal = {Phys. Rev. Lett.}, volume = {96}, number = {1}, pages = {014502}, numpages = {4}, year = {2006}, month = {Jan}, doi = {10.1103/PhysRevLett.96.014502}, } @book {PKotelenez_2008a, AUTHOR = {P. Kotelenez}, FAUTHOR = {Kotelenez, Peter}, TITLE = {Stochastic ordinary and stochastic partial differential equations. {T}ransition from microscopic to macroscopic equations}, SERIES = {Stochastic Modelling and Applied Probability}, VOLUME = {58}, PUBLISHER = {Springer}, ADDRESS = {New York}, YEAR = {2008} } @MASTERSTHESIS{DPKouri_2010a, AUTHOR = {D. P. Kouri}, TITLE = {Optimization Governed by Stochastic Partial Differential Equations}, SCHOOL = {Department of Computational and Applied Mathematics, Rice University}, ADDRESS = {Houston, TX}, YEAR = {2010}, URL = {https://hdl.handle.net/1911/62002} } @PHDTHESIS{DPKouri_2012a, AUTHOR = {D. P. Kouri}, TITLE = {An Approach for the Adaptive Solution of Optimization Problems Governed by Partial Differential Equations with Uncertain Coefficients}, SCHOOL = {Department of Computational and Applied Mathematics, Rice University}, ADDRESS = {Houston, TX}, MONTH = {May}, YEAR = {2012}, URL = {https://hdl.handle.net/1911/64617} } @article {DPKouri_2014a, AUTHOR = {D. P. Kouri}, TITLE = {A multilevel stochastic collocation algorithm for optimization of {PDE}s with uncertain coefficients}, JOURNAL = {SIAM/ASA J. Uncertain. Quantif.}, FJOURNAL = {SIAM/ASA Journal on Uncertainty Quantification}, VOLUME = {2}, YEAR = {2014}, NUMBER = {1}, PAGES = {55--81}, DOI = {10.1137/130915960}, URL = {http://doi.org/10.1137/130915960}, } @article {DPKouri_2017a, AUTHOR = {D. P. Kouri}, TITLE = {A measure approximation for distributionally robust {PDE}-constrained optimization problems}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {55}, YEAR = {2017}, NUMBER = {6}, PAGES = {3147--3172}, DOI = {10.1137/15M1036944}, URL = {https://doi.org/10.1137/15M1036944}, } @Article{DPKouri_2018a, FAUTHOR = {Kouri, Drew P.}, AUTHOR = {D. P. Kouri}, TITLE = {Spectral risk measures: the risk quadrangle and optimal approximation}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming}, VOLUME = {174}, YEAR = {2019}, NUMBER = {1-2, Ser. B}, PAGES = {525--552}, DOI = {10.1007/s10107-018-1267-3}, URL = {https://doi.org/10.1007/s10107-018-1267-3}, } @article {DPKouri_2019a, FAUTHOR = {Kouri, Drew P.}, AUTHOR = {D. P. Kouri}, TITLE = {Higher-moment buffered probability}, JOURNAL = {Optim. Lett.}, FJOURNAL = {Optimization Letters}, VOLUME = {13}, YEAR = {2019}, NUMBER = {6}, PAGES = {1223--1237}, DOI = {10.1007/s11590-018-1359-2}, URL = {https://doi.org/10.1007/s11590-018-1359-2}, } @article {DPKouri_2019b, FAUTHOR = {Kouri, Drew P.}, AUTHOR = {D. P. Kouri}, TITLE = {Correction to: {H}igher-moment buffered probability}, JOURNAL = {Optim. Lett.}, FJOURNAL = {Optimization Letters}, VOLUME = {13}, YEAR = {2019}, NUMBER = {7}, PAGES = {1711}, DOI = {10.1007/s11590-019-01417-w}, URL = {https://doi.org/10.1007/s11590-019-01417-w}, } @TECHREPORT{DPKouri_MHeinkenschloss_DRidzal_BGvanBloemenWaanders_2012a, author = {D. P. Kouri and M. Heinkenschloss and D. Ridzal and B. G. {van Bloemen Waanders} }, title = {A Trust-Region Algorithm with Adaptive Stochastic Collocation for {PDE} Optimization under Uncertainty}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University}, year = 2012, note = {To appear in SIAM J.\ Scientific Computing} } @article{DPKouri_MHeinkenschloss_DRidzal_BGvanBloemenWaanders_2013a, author = {D. P. Kouri and M. Heinkenschloss and D. Ridzal and B. G. {van Bloemen Waanders} }, title = {A Trust-Region Algorithm with Adaptive Stochastic Collocation for {PDE} Optimization under Uncertainty}, fjournal = {SIAM Journal on Scientific Computing}, journal = {SIAM J. Sci. Comput.}, volume = {35}, number = {4}, pages = {A1847-A1879}, year = {2013}, doi = {10.1137/120892362}, URL = {http://doi.org/10.1137/120892362} } @article{DPKouri_MHeinkenschloss_DRidzal_BGvanBloemenWaanders_2014a, author = {D. P. Kouri and M. Heinkenschloss and D. Ridzal and B. G. {van Bloemen Waanders} }, title = {Inexact Objective Function Evaluations in a Trust-Region Algorithm for {PDE}-Constrained Optimization under Uncertainty}, fjournal = {SIAM Journal on Scientific Computing}, journal = {SIAM J. Sci. Comput.}, volume = {36}, number = {6}, pages = {A3011-A3029}, year = {2014}, doi = {10.1137/140955665}, URL = {http://doi.org/10.1137/140955665} } @incollection {DPKouri_DRidzal_2018a, AUTHOR = {D. P. Kouri and D. Ridzal}, FAUTHOR = {Kouri, Drew P. and Ridzal, Denis}, TITLE = {Inexact trust-region methods for {PDE}-constrained optimization}, EDITOR = {H. Antil and D. P. Kouri and M.-D. Lacasse and D. Ridzal}, BOOKTITLE = {Frontiers in {PDE}-constrained optimization}, SERIES = {IMA Vol. Math. Appl.}, VOLUME = {163}, PAGES = {83--121}, PUBLISHER = {Springer, New York}, YEAR = {2018}, URL = {http://doi.org/10.1007/978-1-4939-8636-1_3}, DOI = {10.1007/978-1-4939-8636-1_3} } @INPROCEEDINGS{DPKouri_AShaprio_2018a, author = {D. P. Kouri and A. Shaprio}, fauthor = {Drew P. Kouri and Alexander Shapiro}, title = {Optimization of {PDE}s with Uncertain Inputs}, editor = {H. Antil and D. P. Kouri and M.-D. Lacasse and D. Ridzal}, booktitle = {Frontiers in {PDE}-Constrained Optimization}, publisher = {Springer Verlag}, series = {IMA Volumes in Mathematics and its Applications, Vol.~163}, address = {Berlin, Heidelberg, New-York}, pages = {41--81}, year = 2018, URL = {http://doi.org/10.1007/978-1-4939-8636-1_2}, DOI = {10.1007/978-1-4939-8636-1_2} } @article {DPKouri_TMSurowiec_2016a, AUTHOR = {D. P. Kouri and T. M. Surowiec}, TITLE = {Risk-Averse {PDE}-Constrained Optimization Using the {C}onditional {V}alue-At-{R}isk}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {26}, YEAR = {2016}, NUMBER = {1}, PAGES = {365--396}, DOI = {10.1137/140954556}, URL = {http://doi.org/10.1137/140954556}, } @ARTICLE{DPKouri_TMSurowiec_2017a, AUTHOR = {D. P. Kouri and T. M. Surowiec}, TITLE = {{PDE}-Constrained Optimization under Uncertainty}, journal = {SIAG/OPT Views--and--News}, volume = {25}, number = {2}, pages = {1--8}, year = {2017} } @article {DPKouri_TMSurowiec_2018a, AUTHOR = {D. P. Kouri and T. M. Surowiec}, TITLE = {Existence and Optimality Conditions for Risk-Averse {PDE}-Constrained Optimization}, JOURNAL = {SIAM/ASA J. Uncertain. Quantif.}, FJOURNAL = {SIAM/ASA Journal on Uncertainty Quantification}, VOLUME = {6}, YEAR = {2018}, NUMBER = {2}, PAGES = {787--815}, DOI = {10.1137/16M1086613}, URL = {https://doi.org/10.1137/16M1086613}, } @article {DPKouri_TMSurowiec_2020a, AUTHOR = {D. P. Kouri and T. M. Surowiec}, TITLE = {Epi-Regularization of Risk Measures}, JOURNAL = {Mathematics of Operations Research}, FJOURNAL = {Mathematics of Operations Research}, VOLUME = {45}, YEAR = {2020}, NUMBER = {2}, PAGES = {774-795}, DOI = {10.1287/moor.2019.1013}, URL = {https://doi.org/10.1287/moor.2019.1013}, } @article {DPKouri_TMSurowiec_2020b, AUTHOR = {D. P. Kouri and T. M. Surowiec}, TITLE = {Risk-averse optimal control of semilinear elliptic {PDE}s}, JOURNAL = {ESAIM Control Optim. Calc. Var.}, FJOURNAL = {ESAIM. Control, Optimisation and Calculus of Variations}, VOLUME = {26}, YEAR = {2020}, PAGES = {Paper No. 53, 19}, DOI = {10.1051/cocv/2019061}, URL = {https://doi.org/10.1051/cocv/2019061}, } @article {DPKouri_TMSurowiec_2022a, AUTHOR = {D. P. Kouri and T. M. Surowiec}, FAUTHOR = {Kouri, Drew P. and Surowiec, Thomas M.}, TITLE = {A primal-dual algorithm for risk minimization}, JOURNAL = {Math. 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Mishra}, FAUTHOR = {Kovachki, Nikola and Lanthaler, Samuel and Mishra, Siddhartha}, TITLE = {On universal approximation and error bounds for {F}ourier neural operators}, JOURNAL = {J. Mach. Learn. Res.}, FJOURNAL = {Journal of Machine Learning Research (JMLR)}, VOLUME = {22}, YEAR = {2021}, PAGES = {Paper No. [290], 76}, } @article {KKoval_AAlexanderian_GStadler_2020a, FAUTHOR = {Koval, Karina and Alexanderian, Alen and Stadler, Georg}, AUTHOR = {K. Koval and A. Alexanderian and G. Stadler}, TITLE = {Optimal experimental design under irreducible uncertainty for linear inverse problems governed by {PDE}s}, JOURNAL = {Inverse Problems}, FJOURNAL = {Inverse Problems. 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Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {13}, YEAR = {2002}, NUMBER = {2}, PAGES = {321--334}, DOI = {10.1137/S1052623499358008}, URL = {https://doi.org/10.1137/S1052623499358008}, } @article {KKunisch_EWSachs_1992, AUTHOR = {K. Kunisch and E. W. Sachs}, TITLE = {Reduced {SQP} methods for parameter identification problems}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {29}, YEAR = {1992}, NUMBER = {6}, PAGES = {1793--1820}, DOI = {10.1137/0729100}, URL = {http://doi.org/10.1137/0729100}, } @incollection {KKunisch_XCTai_1998a, AUTHOR = {K. Kunisch and X.-C. Tai}, TITLE = {Nonoverlapping domain decomposition methods for inverse problems}, BOOKTITLE = {Proceedings of the 9th International Conference on Domain Decomposition Methods in Bergen, Norway}, PAGES = {517--524}, PUBLISHER = {ddm.org}, YEAR = {1998} } @article {KKunisch_XCTai_1997a, AUTHOR = {K. Kunisch and X.-C. Tai}, TITLE = {Sequential and parallel splitting methods for bilinear control problems in {H}ilbert spaces}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {34}, YEAR = {1997}, NUMBER = {1}, PAGES = {91--118} } @incollection {KKunisch_BVexler_2007a, AUTHOR = {K. Kunisch and B. Vexler}, TITLE = {On the choice of the cost functional for optimal vortex reduction for instationary flows}, EDITOR = {R. King}, BOOKTITLE = {Active Flow Control. Papers contributed to the Conference Active Flow Control 2006, Berlin, Germany, September 27 to 29, 2006}, PUBLISHER = {Springer Verlag}, SERIES = {Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM), Vol. 95}, YEAR = {2007} } @article{KKunisch_BVexler_2007b, AUTHOR = {K. Kunisch and B. Vexler}, FAUTHOR = {Kunisch, K. and Vexler, B.}, TITLE = {Optimal vortex reduction for instationary flows based on translation invariant cost functionals}, JOURNAL = {SIAM J. Control Optim.}, FJOURNAL = {SIAM Journal on Control and Optimization}, VOLUME = {46}, YEAR = {2007}, NUMBER = {4}, PAGES = {1368--1397}, DOI = {10.1137/050632774}, URL = {https://doi.org/10.1137/050632774}, } @article {KKunisch_BVexler_2007c, AUTHOR = {K. Kunisch and B. Vexler}, FAUTHOR = {Kunisch, K. and Vexler, B.}, TITLE = {Constrained {D}irichlet boundary control in {$L^2$} for a class of evolution equations}, JOURNAL = {SIAM J. Control Optim.}, FJOURNAL = {SIAM Journal on Control and Optimization}, VOLUME = {46}, YEAR = {2007}, NUMBER = {5}, PAGES = {1726--1753}, DOI = {10.1137/060670110}, URL = {https://doi.org/10.1137/060670110}, } @ARTICLE{KKunisch_SVolkwein_1999, AUTHOR = {K. Kunisch and S. Volkwein}, TITLE = {Control of the {B}urgers equation by a reduced-order approach using proper orthogonal decomposition}, JOURNAL = {J. Optim. Theory Appl.}, FJOURNAL = {Journal of Optimization Theory and Applications}, VOLUME = {102}, YEAR = {1999}, NUMBER = {2}, PAGES = {345--371}, DOI = {10.1023/A:1021732508059}, URL = {https://doi.org/10.1023/A:1021732508059} } @ARTICLE{KKunisch_SVolkwein_2001, AUTHOR = {K. Kunisch and S. Volkwein}, TITLE = {Galerkin proper orthogonal decomposition methods for parabolic problems}, JOURNAL = {Numer. Math.}, FJOURNAL = {Numerische Mathematik}, VOLUME = {90}, YEAR = {2001}, NUMBER = {1}, PAGES = {117--148}, DOI = {10.1007/s002110100282}, URL = {https://doi.org/10.1007/s002110100282}, } @ARTICLE{KKunisch_SVolkwein_2002a, AUTHOR = {Kunisch, K. and Volkwein, S.}, TITLE = {{G}alerkin proper orthogonal decomposition methods for a general equation in fluid dynamics}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {40}, YEAR = {2002}, NUMBER = {2}, PAGES = {492--515 (electronic)} } @ARTICLE{KKunisch_SVolkwein_2008a, AUTHOR = {Kunisch, K. and Volkwein, S.}, TITLE = {{P}roper Orthogonal Decomposition for Optimality Systems}, JOURNAL = {ESIAM M2AN}, FJOURNAL = {ESAIM: Mathematical Modelling and Numerical Analysis}, VOLUME = {42}, YEAR = {2008}, NUMBER = {1}, PAGES = {1-23}, DOI = {10.1051/m2an:2007054}, URL = {http://doi.org/10.1051/m2an:2007054}, } @ARTICLE{KKunisch_SVolkwein_2010a, AUTHOR = {Kunisch, K. and Volkwein, S.}, FAUTHOR = {Kunisch, Karl and Volkwein, Stefan}, TITLE = {Optimal snapshot location for computing {POD} basis functions}, JOURNAL = {M2AN Math. Model. Numer. Anal.}, FJOURNAL = {M2AN. Mathematical Modelling and Numerical Analysis}, VOLUME = {44}, YEAR = {2010}, NUMBER = {3}, PAGES = {509--529}, DOI = {10.1051/m2an/2010011}, URL = {http://doi.org/10.1051/m2an/2010011}, } @article {KKunisch_SVolkwein_LXie_2004a, AUTHOR = {K. Kunisch and S. Volkwein and L. Xie}, TITLE = {{HJB}-{POD}-based feedback design for the optimal control of evolution problems}, JOURNAL = {SIAM J. Appl. Dyn. Syst.}, FJOURNAL = {SIAM Journal on Applied Dynamical Systems}, VOLUME = {3}, YEAR = {2004}, NUMBER = {4}, PAGES = {701--722}, DOI = {10.1137/030600485}, URL = {http://doi.org/10.1137/030600485}, } @article {KKunisch_DWalter_2020a, AUTHOR = {K. Kunisch and D. Walter}, FAUTHOR = {Karl Kunisch and Daniel Walter}, TITLE = {Semiglobal optimal feedback stabilization of autonomous systems via deep neural network approximation}, JOURNAL = {arXiv:2002.08625v2}, YEAR = {2020}, URL = {https://arxiv.org/abs/2002.08625} } @article {KKunisch_LWhite_1985, AUTHOR = {K. Kunisch and L. W. White}, TITLE = {The parameter estimation problem for parabolic equations and discontinuous observation operators}, JOURNAL = {SIAM J. Control Optim.}, FJOURNAL = {SIAM Journal on Control and Optimization}, VOLUME = {23}, YEAR = {1985}, NUMBER = {6}, PAGES = {900--927}, DOI = {10.1137/0323052}, URL = {http://doi.org/10.1137/0323052}, } @ARTICLE{KKunisch_LWWhite_1987, author = {K. Kunisch and L. W. White}, title = {Identifiability under Approximation for an Elliptic Boundary Value Problem}, journal = {SIAM J. Control and Optimization}, volume = {25}, pages = {279--297}, year = 1987 } @article {KKunisch_LXie_2005a, AUTHOR = {K. Kunisch and L. Xie}, TITLE = {{POD}-based feedback control of the {B}urgers equation by solving the evolutionary {HJB} equation}, JOURNAL = {Comput. Math. Appl.}, FJOURNAL = {Computers \& Mathematics with Applications. An International Journal}, VOLUME = {49}, YEAR = {2005}, NUMBER = {7-8}, PAGES = {1113--1126}, DOI = {10.1016/j.camwa.2004.07.022}, URL = {http://doi.org/10.1016/j.camwa.2004.07.022}, } @article {PKunkel_VMehrmann_1997a, AUTHOR = {P. Kunkel and V. Mehrmann}, FAUTHOR = {Kunkel, Peter and Mehrmann, Volker}, TITLE = {The linear quadratic optimal control problem for linear descriptor systems with variable coefficients}, JOURNAL = {Math. Control Signals Systems}, FJOURNAL = {Mathematics of Control, Signals, and Systems}, VOLUME = {10}, YEAR = {1997}, NUMBER = {3}, PAGES = {247--264} } @TECHREPORT{PKunkel_VMehrmann_2006a, author = {P. Kunkel and V. Mehrmann}, title = {Necessary and sufficient conditions in the optimal control for general nonlinear differential-algebraic equations}, institution = {DFG Research Center Matheon}, address = {Technische Universit\"at Berlin, Sekretariat MA 4-5, Strasse des 17.\ Juni 136, D-10623 Berlin}, type = {Preprint 06-355}, year = 2006 } @book {PKunkel_VMehrmann_2006b, AUTHOR = {P. Kunkel and V. Mehrmann}, FAUTHOR = {Kunkel, Peter and Mehrmann, Volker}, TITLE = {Differential-Algebraic Equations. {A}nalysis and Numerical Solution}, SERIES = {EMS Textbooks in Mathematics}, PUBLISHER = {European Mathematical Society (EMS), Z\"urich}, YEAR = {2006}, DOI = {10.4171/017}, URL = {https://doi.org/10.4171/017}, } @article {PKunkel_VMehrmann_2008a, AUTHOR = {P. Kunkel and V. Mehrmann}, FAUTHOR = {Kunkel, Peter and Mehrmann, Volker}, TITLE = {Optimal control for unstructured nonlinear differential-algebraic equations of arbitrary index}, JOURNAL = {Math. Control Signals Systems}, FJOURNAL = {Mathematics of Control, Signals, and Systems}, VOLUME = {20}, YEAR = {2008}, NUMBER = {3}, PAGES = {227--269} } @BOOK{AKunoth_2001, author = {A. Kunoth}, title = {Wavelet Methods -- Elliptic Boundary Value Problems and Control Problems}, series = {Advances in Numerical Mathematics}, publisher = {B. G. Teubner}, address = {Stuttgart Leipzig, Wiesbaden}, year = {2001} } @article {AKunoth_2005a, AUTHOR = {A. Kunoth}, FAUTHOR = {Kunoth, Angela}, TITLE = {Adaptive wavelet schemes for an elliptic control problem with {D}irichlet boundary control}, JOURNAL = {Numer. Algorithms}, FJOURNAL = {Numerical Algorithms}, VOLUME = {39}, YEAR = {2005}, NUMBER = {1-3}, PAGES = {199--220}, DOI = {10.1007/s11075-004-3630-0}, URL = {http://doi.org/10.1007/s11075-004-3630-0}, } @incollection {AKunoth_2018a, AUTHOR = {A. Kunoth}, FAUTHOR = {Kunoth, Angela}, TITLE = {Adaptive multiscale methods for the numerical treatment of systems of {PDE}s}, EDITOR = {T. Lyche and C. Manni and H. Speleers}, BOOKTITLE = {Splines and {PDE}s: from approximation theory to numerical linear algebra}, SERIES = {Lecture Notes in Math.}, VOLUME = {2219}, PAGES = {77--159}, PUBLISHER = {Springer, Cham}, YEAR = {2018}, DOI = {10.1007/978-3-319-94911-6_2}, URL = {https://doi.org/10.1007/978-3-319-94911-6_2} } @article {AKunoth_CSchwab_2013a, AUTHOR = {A. Kunoth and Ch. Schwab}, FAUTHOR = {Kunoth, Angela and Schwab, Christoph}, TITLE = {Analytic regularity and {GPC} approximation for control problems constrained by linear parametric elliptic and parabolic {PDE}s}, JOURNAL = {SIAM J. Control Optim.}, FJOURNAL = {SIAM Journal on Control and Optimization}, VOLUME = {51}, YEAR = {2013}, NUMBER = {3}, PAGES = {2442--2471}, DOI = {10.1137/110847597}, URL = {https://doi.org/10.1137/110847597}, } @article {AKunoth_CSchwab_2016a, AUTHOR = {A. Kunoth and Ch. Schwab}, FAUTHOR = {Kunoth, Angela and Schwab, Christoph}, TITLE = {Sparse adaptive tensor {G}alerkin approximations of stochastic {PDE}-constrained control problems}, JOURNAL = {SIAM/ASA J. Uncertain. Quantif.}, FJOURNAL = {SIAM/ASA Journal on Uncertainty Quantification}, VOLUME = {4}, YEAR = {2016}, NUMBER = {1}, PAGES = {1034--1059}, DOI = {10.1137/15M1041390}, URL = {https://doi.org/10.1137/15M1041390}, } @article {FYKuo_CSchwab_IHSloan_2011a, AUTHOR = {F. Y. Kuo and C. Schwab and I. H. Sloan}, TITLE = {Quasi-{M}onte {C}arlo methods for high-dimensional integration: the standard (weighted {H}ilbert space) setting and beyond}, JOURNAL = {ANZIAM J.}, FJOURNAL = {The ANZIAM Journal. The Australian \& New Zealand Industrial and Applied Mathematics Journal}, VOLUME = {53}, YEAR = {2011}, NUMBER = {1}, PAGES = {1--37}, DOI = {10.1017/S1446181112000077}, URL = {http://doi.org/10.1017/S1446181112000077}, NOTE = {see also \cite{FYKuo_CSchwab_IHSloan_2012c,FYKuo_CSchwab_IHSloan_2013a}} } @TECHREPORT{FYKuo_CSchwab_IHSloan_2012a, author = {F. Y. Kuo and C. Schwab and I. H. Sloan}, title = {On the justification of plate models}, institution = {Seminar f{\"u}r Angewandte Mathematik}, address = {ETH Z{\"u}rich}, type = {{SAM} {R}esearch {R}eport 2012--01}, year = 2012 } @article {FYKuo_CSchwab_IHSloan_2012b, AUTHOR = {F. Y. Kuo and C. Schwab and I. H. Sloan}, FAUTHOR = {Kuo, Frances Y. and Schwab, Christoph and Sloan, Ian H.}, TITLE = {Quasi-{M}onte {C}arlo finite element methods for a class of elliptic partial differential equations with random coefficients}, JOURNAL = {SIAM J. Numer. Anal.}, FJOURNAL = {SIAM Journal on Numerical Analysis}, VOLUME = {50}, YEAR = {2012}, NUMBER = {6}, PAGES = {3351--3374}, DOI = {10.1137/110845537}, URL = {http://doi.org/10.1137/110845537}, } @article {FYKuo_CSchwab_IHSloan_2012c, AUTHOR = {F. Y. Kuo and C. Schwab and I. H. Sloan}, TITLE = {Correction to ``{Q}uasi-{M}onte {C}arlo methods for high-dimensional integration: the standard (weighted {H}ilbert space) setting and beyond''}, JOURNAL = {ANZIAM J.}, FJOURNAL = {The ANZIAM Journal. The Australian \& New Zealand Industrial and Applied Mathematics Journal}, VOLUME = {53}, YEAR = {2012}, NUMBER = {3}, PAGES = {251}, DOI = {10.1017/S1446181112000144}, URL = {http://doi.org/10.1017/S1446181112000144}, } @article {FYKuo_CSchwab_IHSloan_2013a, AUTHOR = {F. Y. Kuo and C. Schwab and I. H. Sloan}, TITLE = {Correction to ``{Q}uasi-{M}onte {C}arlo methods for high-dimensional integration: the standard (weighted {H}ilbert space) setting and beyond''}, JOURNAL = {ANZIAM J.}, FJOURNAL = {The ANZIAM Journal. The Australian \& New Zealand Industrial and Applied Mathematics Journal}, VOLUME = {54}, YEAR = {2013}, NUMBER = {3}, PAGES = {216--219}, DOI = {10.1017/S144618111300014X}, URL = {http://doi.org/10.1017/S144618111300014X}, } @article{FYKuo_CSchwab_IHSloan_2014a, AUTHOR = {F. Y. Kuo and C. Schwab and I. H. Sloan}, TITLE = {Multi-level quasi-{M}onte {C}arlo finite element methods for a class of elliptic partial differential equations with random coefficients}, journal ={arXiv:1208.6349v2}, year ={2014}, note = {appeared as \cite{FYKuo_CSchwab_IHSloan_2015a}} } @article{FYKuo_CSchwab_IHSloan_2015a, AUTHOR = {F. Y. Kuo and C. Schwab and I. H. Sloan}, TITLE = {Multi-level quasi-{M}onte {C}arlo finite element methods for a class of elliptic partial differential equations with random coefficients}, journal ={Foundations of Computational Mathematics}, volume = {15}, number = {2}, doi = {10.1007/s10208-014-9237-5}, url = {http://doi.org/10.1007/s10208-014-9237-5}, pages = {411-449}, year = {2015} } @article {FYKuo_IHSloan_GWWasilkowski_HWozniakowski_2010a, AUTHOR = {F. Y. Kuo and I. H. Sloan and G. W. Wasilkowski and H. Wo{\'z}niakowski}, FAUTHOR = {Kuo, Frances Y. and Sloan, Ian H. and Wasilkowski, Grzegorz W. and Wo{\'z}niakowski, Henryk}, TITLE = {On decompositions of multivariate functions}, JOURNAL = {Math. Comp.}, FJOURNAL = {Mathematics of Computation}, VOLUME = {79}, YEAR = {2010}, NUMBER = {270}, PAGES = {953--966}, DOI = {10.1090/S0025-5718-09-02319-9}, URL = {http://doi.org/10.1090/S0025-5718-09-02319-9}, } @article {FYKuo_IHSloan_GWWasilkowski_HWozniakowski_2010b, AUTHOR = {F. Y. Kuo and I. H. Sloan and G. W. 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Vol.~62}, PUBLISHER = {Springer}, ADDRESS = {New York}, YEAR = {2015}, DOI = {10.1007/978-3-319-20325-6}, URL = {http://doi.org/10.1007/978-3-319-20325-6}, } @book {JHLaw_AMStuart_KCZygalakis_2015b, AUTHOR = {K. J. H. Law and A. M. Stuart and K. C. Zygalakis}, FAUTHOR = {Law, Kody J. H. and Stuart, Andrew M. and Zygalakis, Konstantinos C.}, TITLE = {Data Assimilation. {A} Mathematical Introduction}, PUBLISHER = {arXiv:1506.07825v1}, URL = {http://arxiv.org/abs/1506.07825v1}, NOTE = {This is the first half of the book \cite{JHLaw_AMStuart_KCZygalakis_2015a}} } @INCOLLECTION{TSLawrence_RKTHaken_AGiaccia_2008a, author = {T. S. Lawrence and R. K. T. Haken and A. Giaccia}, title = {Principles of Radiation Oncology}, editor = {V. T. DeVita, Jr and T. S. Lawrence and S. A. Rosenberg}, booktitle = {DeVita, Hellman, and S. A. 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Methods Engrg.}, FJOURNAL = {International Journal for Numerical Methods in Engineering}, VOLUME = {86}, YEAR = {2011}, NUMBER = {6}, PAGES = {765--781}, DOI = {10.1002/nme.3072}, URL = {https://doi.org/10.1002/nme.3072}, } @article{ELazutkin_AGeletu_PLi_2018a, author = {E. Lazutkin and A. Geletu and P. Li}, fauthor = {Lazutkin, Evgeny and Geletu, Abebe and Li, Pu}, title = {An Approach to Determining the Number of Time Intervals for Solving Dynamic Optimization Problems}, journal = {Industrial \& Engineering Chemistry Research}, volume = {57}, number = {12}, pages = {4340-4350}, year = {2018}, doi = {10.1021/acs.iecr.7b03361}, URL = {https://doi.org/10.1021/acs.iecr.7b03361} } @BOOK{ALeach_2001a, author = {A. Leach}, title = {Molecular Modelling: Principles and Applications}, edition = {second}, publisher = {Prentice Hall}, address = {Englewoods Cliffs, New Jersey}, year = 2001 } @ARTICLE{VILebedev_1969, author = {V. I. 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Leli{\`e}vre", fauthor="{Le Bris}, Claude and Leli{\`e}vre, Tony", title="Multiscale Methods for Subsurface Flow", editor="B. Engquist and P. L{\"o}tstedt and O. Runborg", booktitle="Multiscale Modeling and Simulation in Science", year="2009", publisher="Springer Berlin Heidelberg", address="Berlin, Heidelberg", pages="49--137", doi="10.1007/978-3-540-88857-4\_2", url="http://doi.org/10.1007/978-3-540-88857-4\_2" } @article{YLeCun_YBengio_GEHinton_2015a, author = {Y. LeCun and Y. Bengio and G. E. Hinton}, fauthor = {LeCun, Yann and Bengio, Yoshua and Hinton, Geoffrey E.}, title = {Deep learning}, journal = {Nature}, volume = {521}, number = {7553}, pages = {436--444}, year = {2015}, url = {https://doi.org/10.1038/nature14539}, doi = {10.1038/nature14539} } @article{PLEcuyer_VDemers_BTuffin_2007a, author = {P. L'Ecuyer and V. Demers and B. Tuffin}, fauthor = {L'Ecuyer, Pierre and Demers, Val{\'e}rie and Tuffin, Bruno}, title = {Rare Events, Splitting, and quasi-Monte Carlo}, journal = {ACM Trans. Model. Comput. Simul.}, volume = {17}, number = {2}, year = {2007}, articleno = {9}, url = {http://doi.org/10.1145/1225275.1225280}, doi = {10.1145/1225275.1225280}, } @article {HLeDret_1989a, AUTHOR = {H. Le Dret}, TITLE = {Folded plates revisited}, JOURNAL = {Comput. Mech.}, FJOURNAL = {Computational Mechanics. Solids, Fluids, Engineered Materials, Aging Infrastructure, Molecular Dynamics, Heat Transfer, Manufacturing Processes, Optimization, Fracture \& Integrity}, VOLUME = {5}, YEAR = {1989}, NUMBER = {5}, PAGES = {345--365} } @article {HLeDret_1990a, AUTHOR = {H. Le Dret}, TITLE = {Modeling of a folded plate}, JOURNAL = {Comput. Mech.}, FJOURNAL = {Computational Mechanics. Solids, Fluids, Engineered Materials, Aging Infrastructure, Molecular Dynamics, Heat Transfer, Manufacturing Processes, Optimization, Fracture \& Integrity}, VOLUME = {5}, YEAR = {1990}, NUMBER = {6}, PAGES = {401--416} } @book {HLeDret_1991a, AUTHOR = {H. Le Dret}, FAUTHOR = {Le Dret, Herv{\'e}}, TITLE = {Probl\`emes variationnels dans les multi-domaines. {M}od{\'e}lisation des jonctions et applications}, SERIES = {Recherches en Math\'ematiques Appliqu\'ees [Research in Applied Mathematics]}, VOLUME = {19}, PUBLISHER = {Masson}, ADDRESS = {Paris}, YEAR = {1991} } @article {HLeDret_2004a, AUTHOR = {H. Le Dret}, FAUTHOR = {Le Dret, Herv{\'e}}, TITLE = {Well-posedness for {K}oiter and {N}aghdi shells with a {$G\sb 1$}-midsurface}, JOURNAL = {Anal. Appl. (Singap.)}, FJOURNAL = {Analysis and Applications}, VOLUME = {2}, YEAR = {2004}, NUMBER = {4}, PAGES = {365--388} } @ARTICLE{AYLee_1988, author = {A.Y. 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Engrg.}, FJOURNAL = {Computer Methods in Applied Mechanics and Engineering}, VOLUME = {200}, YEAR = {2011}, NUMBER = {33-36}, PAGES = {2498--2506}, DOI = {10.1016/j.cma.2011.04.019}, URL = {http://doi.org/10.1016/j.cma.2011.04.019}, } @article {HKLee_2004b, AUTHOR = {H. K. Lee}, TITLE = {Analysis of a defect correction method for viscoelastic fluid flow}, JOURNAL = {Comput. Math. Appl.}, FJOURNAL = {Computers \& Mathematics with Applications. An International Journal}, VOLUME = {48}, YEAR = {2004}, NUMBER = {7-8}, PAGES = {1213--1229} } @BOOK{JANLee_1995, editor = {J. A. N. Lee}, title = {Computer Pioneers}, publisher = {IEEE Computer Society Press}, address = {Los Alamitos, California}, year = 1995, } @book {JMLee_2013a, AUTHOR = {J. M. Lee}, FAUTHOR = {Lee, John M.}, TITLE = {Introduction to Smooth Manifolds}, SERIES = {Graduate Texts in Mathematics}, VOLUME = {218}, EDITION = {Second}, PUBLISHER = {Springer, New York}, YEAR = {2013}, URL = {https://doi.org/10.1007/978-1-4419-9982-5}, DOI = {10.1007/978-1-4419-9982-5} } @book {JMLee_2018a, AUTHOR = {J. M. Lee}, FAUTHOR = {Lee, John M.}, TITLE = {Introduction to {R}iemannian Manifolds}, SERIES = {Graduate Texts in Mathematics}, VOLUME = {176}, PUBLISHER = {Springer, Cham}, YEAR = {2018}, URL = {https://doi.org/10.1007/978-3-319-91755-9}, DOI = {10.1007/978-3-319-91755-9} } @article{PSLee_KJBathe_2004a, author = {P.--S. Lee and K. J. Bathe}, title = {Development of {MITC} isotropic triangular shell finite elements}, journal = {Comput. \& Structures}, pages = {945--962}, year = {2004}, volume = {82} } @TECHREPORT{KLee_KTCarlberg_2019a, AUTHOR = {K. Lee and K. T. Carlberg}, FAUTHOR = {Kookjin Lee and Kevin T. Carlberg}, TITLE = {Deep Conservation: {A} latent dynamics model for exact satisfaction of physical conservation laws}, INSTITUTION = {Sandia National Laboratories}, NUMBER = {SAND2019--11191R}, YEAR = {2019} } @article {KLee_KTCarlberg_2020a, AUTHOR = {K. Lee and K. T. Carlberg}, FAUTHOR = {Kookjin Lee and Kevin T. Carlberg}, TITLE = {Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders}, JOURNAL = {J. Comput. Phys.}, FJOURNAL = {Journal of Computational Physics}, VOLUME = {404}, YEAR = {2020}, PAGES = {108973, 32}, DOI = {10.1016/j.jcp.2019.108973}, URL = {https://doi.org/10.1016/j.jcp.2019.108973}, } @ARTICLE{KHLee_LCortelezzi_JKim_JSpeyer_2001a, AUTHOR = {K. H. Lee and L. Cortelezzi and J. Kim and J. Speyer}, TITLE = {Application of reduced-order controller to turbulent flows for drag reduction`}, JOURNAL = {Phys. Fluids}, YEAR = {2001}, VOLUME = {13}, NUMBER = {5}, PAGES = {1321--1330} } @article {SHLee_PJenny_HATchelepi_2002a, AUTHOR = {S. H. Lee and P. Jenny and H. A. Tchelepi}, TITLE = {A finite-volume method with hexahedral multiblock grids for modeling flow in porous media}, NOTE = {Locally conservative numerical methods for flow in porous media}, JOURNAL = {Comput. Geosci.}, FJOURNAL = {Computational Geosciences}, VOLUME = {6}, YEAR = {2002}, NUMBER = {3-4}, PAGES = {353--379} } @ARTICLE{CLee_JKim_HChoi_1998, AUTHOR = {C. Lee and J. Kim and H. Choi}, TITLE = {Suboptimal Control of Turbulent Cannel Flow}, JOURNAL = {Journal of Fluid Mechanics}, YEAR = {1998}, VOLUME = {358}, PAGES = {245--258} } @article{SSLee_BMKwak_1992a, author = "S. S. Lee and B. M. Kwak", fauthor = "Shin Sup Lee and Byung Man Kwak", title = "Shape sensitivity analysis of thin-shell structures", journal = "Finite Elements in Analysis and Design", volume = "10", number = "4", pages = "293 - 305", year = "1992", doi = "10.1016/0168-874X(92)90017-7", url = "http://doi.org/10.1016/0168-874X(92)90017-7", } @BOOK{EBLee_LMarkus_1967, author = {E. B. Lee and L. Markus}, title = {Foundations of Optimal Control Theory}, publisher = {John Wiley \& Sons}, address = {New York, London, Sydney}, year = 1967, call-no = {QA 402.3 L38} } @article{PSLee_HCNoh_KJBathe_2007, author = {P.-S. Lee and H.-C. Noh and K.-J. Bathe}, fauthor = {Phill-Seung Lee and Hyuk-Chun Noh and Klaus-J\"urgen Bathe}, title = "Insight into 3-node triangular shell finite elements: the effects of element isotropy and mesh patterns", journal = "Computers and Structures", volume = "85", number = "7-8", pages = "404 - 418", year = "2007", doi = "10.1016/j.compstruc.2006.10.006" } @article{JLee_SWang_2003a, author = "J. Lee and S. Wang", fauthor = "Jeawon Lee and Semyung Wang", title = "Shape design sensitivity analysis for the radiated noise from the thin-body", journal = "Journal of Sound and Vibration", volume = "261", number = "5", pages = "895 - 910", year = "2003", doi = "10.1016/S0022-460X(02)01019-2", url = "http://doi.org/10.1016/S0022-460X(02)01019-2" } @article {YJLee_JWu_JXu_LZikatanov_2006a, AUTHOR = {Y.-J. Lee and J. Wu and J. Xu and L. Zikatanov}, FAUTHOR = {Lee, Young-Ju and Wu, Jinbiao and Xu, Jinchao and Zikatanov, Ludmil}, TITLE = {On the convergence of iterative methods for semidefinite linear systems}, JOURNAL = {SIAM J. Matrix Anal. Appl.}, FJOURNAL = {SIAM Journal on Matrix Analysis and Applications}, VOLUME = {28}, YEAR = {2006}, NUMBER = {3}, PAGES = {634--641 (electronic)} } @article{PSLee_HCNoh_KJBathe_2007a, author = {P.-S. Lee and H.-C. Noh and K.-J. Bathe}, title = "Insight into 3-node triangular shell finite elements: the effects of element isotropy and mesh patterns", journal = "Computers \& Structures", volume = "85", number = "7-8", pages = "404 - 418", year = "2007", doi = "10.1016/j.compstruc.2006.10.006", } @article{EKLee_RJGallagher_DSilvern_CSWuu_MZaider_1999a, author={E. K. Lee and R. J. Gallagher and D. Silvern and C.-S. Wuu and M. Zaider}, fauthor={Eva K Lee and Richard J Gallagher and David Silvern and Cheng-Shie Wuu and Marco Zaider}, title={Treatment planning for brachytherapy: an integer programming model, two computational approaches and experiments with permanent prostate implant planning}, journal={Physics in Medicine and Biology}, volume={44}, number={1}, pages={145}, url={http://stacks.iop.org/0031-9155/44/i=1/a=012}, year={1999}, } @article {JDLee_YSun_MASaunders2014a, AUTHOR = {J. D. Lee and Y. Sun and M. A. Saunders}, FAUTHOR = {Lee, Jason D. and Sun, Yuekai and Saunders, Michael A.}, TITLE = {Proximal {N}ewton-type methods for minimizing composite functions}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {24}, YEAR = {2014}, NUMBER = {3}, PAGES = {1420--1443}, DOI = {10.1137/130921428}, URL = {https://doi.org/10.1137/130921428}, } @INCOLLECTION{EKLee_TLWu_2008a, AUTHOR = {E. K. Lee and T.-L. Wu}, FAUTHOR = {Lee, Eva K. and Wu, Tsung-Lin}, title = {Classification and Disease Prediction via Mathematical Programming}, editor = {G. J. Lim and E. K. Lee}, booktitle = {Optimization in Medicine and Biology}, publisher = {Auerbach Publications (Taylor \& Francis Group)}, address = {Boca Raton}, year = {2008}, pages = {3--60}, DOI = {10.1201/9780849305696.pt1} } @article{EKLee_MZaider_2003a, author={E. K. Lee and M. Zaider}, title={Mixed Integer Programming Approaches to Treatment Planning for Brachytherapy. Application to Permanent Prostate Implants}, journal={Annals of Operations Research}, volume={119}, issue={1-4}, pages={147-163}, year={2003}, doi={10.1023/A:1022986523863}, url={http://doi.org/10.1023/A%3A1022986523863} } incollection{EKLee_MZaider_2005a, author={E. K. Lee and M. Zaider}, title={Optimization and Decision Support in Brachytherapy Treatment Planning}, editor={M. L. Brandeau and F. Sainfort and W. P. 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Lions}, title = {Some Aspects of the Optimal Control of Distributed Parameter Systems}, publisher = {SIAM}, address = {Philadelphia, PA}, year = 1972 } @BOOK{JLLions_1985, author = {J.-L. Lions}, title = {Control of Distributed Singular Systems}, publisher = {Dunod, Gauthier--Villars}, address = {Paris}, year = 1985 } @ARTICLE{JLLions_1988a, author = {J.-L. Lions}, title = {Exact controllability, stabilization and perturbations for distributed systems}, journal = {SIAM Review}, volume = {30}, pages = {1--68}, year = {1988}, DOI = {10.1137/1030001}, URL = {http://dx.doi.org/10.1137/1030001}, } @BOOK{JLLions_1988b, AUTHOR = {J.-L. Lions}, TITLE = {Contr\^olabilit\'e exacte, perturbations et stabilisation de syst\`emes distribu\'es. {T}ome 1}, PUBLISHER = {Masson}, ADDRESS = {Paris}, YEAR = {1988} } @BOOK{JLLions_1988c, AUTHOR = {J.-L. Lions}, TITLE = {Contr\^olabilit\'e exacte, perturbations et stabilisation de syst\`emes distribu\'es. {T}ome 2}, PUBLISHER = {Masson}, ADDRESS = {Paris}, YEAR = {1988} } @INPROCEEDINGS{JLLions_1992a, author = {J.-L. Lions}, title = {Pointwise Control for Distributed Systems}, editor = {H.~T. Banks}, booktitle = {Control and Estimation in Distributed Parameter Systems}, publisher = {SIAM}, series = {Frontiers in Applied Mathematics, Vol.~11}, address = {Philadelphia}, pages = {1--39}, year = {1992} } @ARTICLE{JLLions_2000a, AUTHOR = {J.-L. Lions}, TITLE = {Virtual and effective control for distributed systems and decomposition of everything}, JOURNAL = {Journal d'Analyse Math\'ematique}, VOLUME = {80}, YEAR = {2000}, PAGES = {257--297} } @ARTICLE {JLLions_YMaday_GTurinici_2001a, AUTHOR = {J.-L. Lions and Y. Maday and G. Turinici}, TITLE = {R\'esolution d'{EDP} par un sch\'ema en temps ``parar\'eel''}, JOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I. Math\'ematique}, VOLUME = {332}, YEAR = {2001}, PAGES = {1--6}, DOI = {10.1016/S0764-4442(00)01793-6}, URL = {https://doi.org/10.1016/S0764-4442(00)01793-6} } @BOOK {JLLions_EMagenes_1968a, AUTHOR = {J.-L. Lions and E. Magenes}, TITLE = {Probl\`emes aux limites non homog\`enes et applications. {V}ol. 1}, PUBLISHER = {Dunod}, ADDRESS = {Paris}, YEAR = {1968} } @BOOK {JLLions_EMagenes_1968b, AUTHOR = {J.-L. Lions and E. Magenes}, TITLE = {Probl\`emes aux limites non homog\`enes et applications. {V}ol. 2}, PUBLISHER = {Dunod}, ADDRESS = {Paris}, YEAR = {1968} } @BOOK {JLLions_EMagenes_1970a, AUTHOR = {J.-L. Lions and E. Magenes}, TITLE = {Probl\`emes aux limites non homog\`enes et applications. {V}ol. 3}, SERIES = {Travaux et Recherches Math\'ematiques, No. 20}, PUBLISHER = {Dunod}, ADDRESS = {Paris}, YEAR = {1970} } @BOOK {JLLions_EMagenes_1972a, AUTHOR = {J.-L. Lions and E. Magenes}, TITLE = {Non-homogeneous boundary value problems and applications. {V}ol. {I}}, SERIES = {Die Grundlehren der mathematischen Wissenschaften, Band 181}, PUBLISHER = {Springer-Verlag}, ADDRESS = {New York}, YEAR = {1972} } @BOOK {JLLions_EMagenes_1972b, AUTHOR = {J.-L. Lions and E. Magenes}, TITLE = {Non-homogeneous boundary value problems and applications. {V}ol. {I}{I}}, SERIES = {Die Grundlehren der mathematischen Wissenschaften, Band 182}, PUBLISHER = {Springer-Verlag}, ADDRESS = {New York}, YEAR = {1972} } @BOOK {JLLions_EMagenes_1973a, AUTHOR = {J.-L. Lions and E. Magenes}, TITLE = {Non-homogeneous boundary value problems and applications. {V}ol. {I}{I}{I}}, SERIES = {Die Grundlehren der mathematischen Wissenschaften, Band 183}, PUBLISHER = {Springer-Verlag}, ADDRESS = {New York}, YEAR = {1973} } @ARTICLE {JLLions_OPironneau_1998a, AUTHOR = {J.-L. Lions and O. 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Theory Appl.}, FJOURNAL = {Journal of Optimization Theory and Applications}, VOLUME = {125}, YEAR = {2005}, NUMBER = {3}, PAGES = {609--628}, DOI = {10.1007/s10957-005-2092-4}, URL = {https://doi.org/10.1007/s10957-005-2092-4}, } @article {JLiu_XSWang_2019a, AUTHOR = {J. Liu and X.-S. Wang}, FAUTHOR = {Liu, Jun and Wang, Xiang-Sheng}, TITLE = {Numerical optimal control of a size-structured {PDE} model for metastatic cancer treatment}, JOURNAL = {Math. Biosci.}, FJOURNAL = {Mathematical Biosciences}, VOLUME = {314}, YEAR = {2019}, PAGES = {28--42}, DOI = {10.1016/j.mbs.2019.06.001}, URL = {https://doi.org/10.1016/j.mbs.2019.06.001}, } @article{JLiu_ZWang_2018a, AUTHOR = {J. Liu and Z. Wang}, FAUTHOR = {Liu, Jun and Wang, Zhu}, TITLE = {Efficient time domain decomposition algorithms for parabolic {PDE}-constrained optimization problems}, JOURNAL = {Comput. Math. Appl.}, FJOURNAL = {Computers \& Mathematics with Applications. An International Journal}, VOLUME = {75}, YEAR = {2018}, NUMBER = {6}, PAGES = {2115--2133}, DOI = {10.1016/j.camwa.2017.09.017}, URL = {https://doi.org/10.1016/j.camwa.2017.09.017}, } @article {JLiu_ZWang_2019a, AUTHOR = {J. Liu and Z. Wang}, FAUTHOR = {Liu, Jun and Wang, Zhu}, TITLE = {Non-commutative discretize-then-optimize algorithms for elliptic {PDE}-constrained optimal control problems}, JOURNAL = {J. Comput. Appl. Math.}, FJOURNAL = {Journal of Computational and Applied Mathematics}, VOLUME = {362}, YEAR = {2019}, PAGES = {596--613}, DOI = {10.1016/j.cam.2018.07.028}, URL = {https://doi.org/10.1016/j.cam.2018.07.028}, } @article {JLiu_ZWang_2020a, AUTHOR = {J. Liu and Z. Wang}, FAUTHOR = {Liu, Jun and Wang, Zhu}, TITLE = {A {ROM}-accelerated parallel-in-time preconditioner for solving all-at-once systems from evolutionary {PDE}s}, JOURNAL = {arXiv:2012.09148v1}, YEAR = {2020}, NOTE = {appeared as \cite{JLiu_ZWang_2022a}} } @article {JLiu_ZWang_2022a, AUTHOR = {J. Liu and Z. 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Durlofsky}, FAUTHOR = {Liu, Yimin and Sun, Wenyue and Durlofsky, Louis J.}, TITLE = {A deep-learning-based geological parameterization for history matching complex models}, JOURNAL = {Math. Geosci.}, FJOURNAL = {Mathematical Geosciences}, VOLUME = {51}, YEAR = {2019}, NUMBER = {6}, PAGES = {725--766}, DOI = {10.1007/s11004-019-09794-9}, URL = {https://doi.org/10.1007/s11004-019-09794-9}, } @article {YLiu_WSun_LJDurlofsky_2019b, AUTHOR = {Y. Liu and W. Sun and L. J. Durlofsky}, FAUTHOR = {Liu, Yimin and Sun, Wenyue and Durlofsky, Louis J.}, TITLE = {Correction to: {A} deep-learning-based geological parameterization for history matching complex models}, JOURNAL = {Math. Geosci.}, FJOURNAL = {Mathematical Geosciences}, VOLUME = {51}, YEAR = {2019}, NUMBER = {6}, PAGES = {841--842}, DOI = {10.1007/s11004-019-09812-w}, URL = {https://doi.org/10.1007/s11004-019-09812-w}, } @article {YLiu_XYuan_SZeng_JZhang_2018a, AUTHOR = {Y. Liu and X. Yuan and S. Zeng and J. 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Mariem and M. A. Hamdi}, title = {A new boundary finite element method for fluid-structure interaction problems}, journal = {International Journal for Numerical Methods in Engineering}, year = 1987, volume = 24, pages = {1251-1267} } @ARTICLE{MMarin_NCCruz_EMOrtigosa_MJSaez-Lara_JAGarrido_RRCarrillo_2021a, FAUTHOR = {Marín, Milagros and Cruz, Nicolás C. and Ortigosa, Eva M. and Sáez-Lara, María J. and Garrido, Jesús A. and Carrillo, Richard R.}, AUTHOR = {M. Marin and N. C. Cruz and E. M. Ortigosa and M. J. S{\'a}ez-Lara and J. A. Garrido and R. R. Carrillo}, TITLE = {On the Use of a Multimodal Optimizer for Fitting Neuron Models. Application to the Cerebellar Granule Cell}, JOURNAL = {Frontiers in Neuroinformatics}, VOLUME = {15}, YEAR = {2021}, URL = {https://doi.org/10.3389/fninf.2021.663797}, DOI = {10.3389/fninf.2021.663797}, } @ARTICLE{MMarin_MJSaez-Lara_ERos_JAGarrido_2020a, AUTHOR = {Marín, Milagros and Saez-Lara, María Jose and Ros, Eduardo and Garrido, Jesus A.}, FAUTHOR = {M. Marin and M. J. Saez-Lara and E. Ros and J. A. Garrido}, TITLE = {Optimization of Efficient Neuron Models With Realistic Firing Dynamics. The Case of the Cerebellar Granule Cell}, JOURNAL = {Frontiers in Cellular Neuroscience}, VOLUME = {14}, YEAR = {2020}, URL = {https://doi.org/10.3389/fncel.2020.00161}, DOI = {10.3389/fncel.2020.00161}, } @article {MMarion_RTemam_1990a, AUTHOR = {M. Marion and R. Temam}, FAUTHOR = {Marion, Martine and Temam, Roger}, TITLE = {Nonlinear {G}alerkin methods}, JOURNAL = {SIAM J. Numer. 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Anal., VI}, PAGES = {503--688}, PUBLISHER = {North-Holland, Amsterdam}, YEAR = {1998}, } @article {MMarion_RTemam_2015a, AUTHOR = {M. Marion and R. Temam}, FAUTHOR = {Marion, Martine and Temam, Roger}, TITLE = {Global existence for fully nonlinear reaction-diffusion systems describing multicomponent reactive flows}, JOURNAL = {J. Math. Pures Appl. (9)}, FJOURNAL = {Journal de Math\'{e}matiques Pures et Appliqu\'{e}es. Neuvi\`eme S\'{e}rie}, VOLUME = {104}, YEAR = {2015}, NUMBER = {1}, PAGES = {102--138}, DOI = {10.1016/j.matpur.2015.02.003}, URL = {https://doi.org/10.1016/j.matpur.2015.02.003}, } @inproceedings{JMartens_2010a, author = {J. Martens}, fauthor = {James Martens}, title = {Deep Learning via {H}essian-Free Optimization}, booktitle = {{ICML'10} Proceedings of the 27th International Conference on Machine Learning}, year = {2010}, publisher = {Omnipress}, address = {Madison, WI, USA}, pages = {735--742} } @InProceedings{JMartens_RGrosse_2015a, fauthor = {Martens, James and Grosse, Roger}, author = {J. Martens and R. Grosse}, title = {Optimizing Neural Networks with Kronecker-factored Approximate Curvature}, editor = {F. Bach and D. Blei}, booktitle = {Proceedings of the 32nd International Conference on Machine Learning}, pages = {2408-2417}, year = {2015}, volume = {37}, series = {Proceedings of Machine Learning Research}, address = {Lille, France}, month = {07--09 Jul}, publisher = {PMLR}, url = {http://proceedings.mlr.press/v37/martens15.html}, } @inproceedings{JMartens_ISutskever_2011a, author = {J. Martens and I. Sutskever}, fauthor = {James Martens and Ilya Sutskever}, title = {Learning Recurrent Neural Networks with {H}essian-Free Optimization}, booktitle = {Proceedings of the 28th International Conference on Machine Learning}, year = {2011}, publisher = {Omnipress}, address = {Madison, WI, USA}, pages = {1033--1040} } @Inbook{JMartens_ISutskever_2012a, author = {J. Martens and I. Sutskever}, fauthor = {James Martens and Ilya Sutskever}, title = {Training Deep and Recurrent Networks with {H}essian-Free Optimization}, editor = {G. Montavon and G. B. Orr and K.-R. M{\"u}ller}, booktitle = {Neural Networks: Tricks of the Trade}, edition = {Second}, year = {2012}, publisher = {Springer}, address = {Berlin, Heidelberg}, pages = {479--535}, doi = {10.1007/978-3-642-35289-8_27}, url = {https://doi.org/10.1007/978-3-642-35289-8_27} } @article {RBMartin_1992a, AUTHOR = {R. B. Martin}, TITLE = {Optimal control drug scheduling of cancer chemotherapy}, JOURNAL = {Automatica J. IFAC}, FJOURNAL = {Automatica. A Journal of IFAC, the International Federation of Automatic Control}, VOLUME = {28}, YEAR = {1992}, NUMBER = {6}, PAGES = {1113--1123}, DOI = {10.1016/0005-1098(92)90054-J}, URL = {https://doi.org/10.1016/0005-1098(92)90054-J}, } @article {JCEMartin_INChryssoverghi_1978a, AUTHOR = {J.-C. E. Martin and I. N. Chryssoverghi}, FAUTHOR = {Martin, Jean-Claude E. and Chryssoverghi, Ion N.}, TITLE = {Optimal boundary scanning control of parabolic systems using relaxed controls}, JOURNAL = {Internat. J. Control}, FJOURNAL = {International Journal of Control}, VOLUME = {27}, YEAR = {1978}, NUMBER = {6}, PAGES = {905--915} } @TECHREPORT{MMartin_SKrumscheid_FNobile_2018a, author = {M. Martin and S. Krumscheid and F. Nobile}, fauthor = {Matthieu Martin and Sebastian Krumscheid and Fabio Nobile}, title = {Analysis of stochastic gradient methods for {PDE}-constrained optimal control problems with uncertain parameters}, number = {MATHICSE Technical Report Nr. 04.2018}, institution = {Mathematics Institute of Computational Science and Engineering}, address = {School of Basic Sciences - Section of Mathematics, Ecole Polytechnique F\'ed\'erale de Lausanne}, year = 2018, doi = {10.5075/epfl-MATHICSE-263568}, url = {http://doi.org/10.5075/epfl-MATHICSE-263568} } @article {MMartin_SKrumscheid_FNobile_2021a, AUTHOR = {M. Martin and S. Krumscheid and F. Nobile}, FAUTHOR = {Martin, Matthieu and Krumscheid, Sebastian and Nobile, Fabio}, TITLE = {Complexity analysis of stochastic gradient methods for {PDE}-constrained optimal control problems with uncertain parameters}, JOURNAL = {ESAIM Math. Model. Numer. Anal.}, FJOURNAL = {ESAIM. Mathematical Modelling and Numerical Analysis}, VOLUME = {55}, YEAR = {2021}, NUMBER = {4}, PAGES = {1599--1633}, DOI = {10.1051/m2an/2021025}, URL = {https://doi.org/10.1051/m2an/2021025}, } @article {MMartin_FNobile_PTsilifis_2019a, AUTHOR = {M. Martin and F. Nobile and P. Tsilifis}, FAUTHOR = {Matthieu Martin and Fabio Nobile and Panagiotis Tsilifis}, TITLE = {A Multilevel Stochastic Gradient method for PDE-constrained Optimal Control Problems with uncertain parameters}, JOURNAL = {arXiv:1912.11900}, YEAR = {2019}, URL = {http://arxiv.org/abs/1912.11900}, } @TECHREPORT{PhMartin_RMMurray_PRouchon_2003a, author = {Ph. Martin and R. M. Murray and P. Rouchon}, title = {Flat systems, equivalence and trajectory generation}, institution = {California Institute of Technology}, address = {California}, number = {CaltechCDSTR:2003.008}, year = 2003, note = {http://resolver.caltech.edu/CaltechCDSTR:2003.008} } @article {CDMartin_MAPorter_2012a, AUTHOR = {C. D. Martin and M. A. 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Optimization Theory Appl.}, FJOURNAL = {Journal of Optimization Theory and Applications}, VOLUME = {12}, YEAR = {1973}, PAGES = {555--562}, DOI = {10.1007/BF00934777}, URL = {https://doi.org/10.1007/BF00934777}, } @article {RTRockafellar_1973b, AUTHOR = {R. T. Rockafellar}, FAUTHOR = {Rockafellar, R. Tyrrell}, TITLE = {A dual approach to solving nonlinear programming problems by unconstrained optimization}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {5}, YEAR = {1973}, PAGES = {354--373}, DOI = {10.1007/BF01580138}, URL = {https://doi.org/10.1007/BF01580138}, } @article {RTRockafellar_1973c, AUTHOR = {R. T. Rockafellar}, FAUTHOR = {Rockafellar, R. Tyrrell}, TITLE = {Penalty methods and augmented {L}agrangians in nonlinear programming}, BOOKTITLE = {Fifth {C}onference on {O}ptimization {T}echniques ({R}ome, 1973), {P}art {I}}, PAGES = {418--425. Lecture Notes in Comput. Sci., Vol. 3}, PUBLISHER = {Springer, Berlin}, YEAR = {1973}, DOI = {10.1007/3-540-06583-0_41}, URL = {https://doi.org/10.1007/3-540-06583-0_41}, } @book {RTRockafellar_1974a, AUTHOR = {R. T. Rockafellar}, FAUTHOR = {Rockafellar, R. Tyrrell}, TITLE = {Conjugate duality and optimization}, NOTE = {Lectures given at the Johns Hopkins University, Baltimore, Md., June, 1973, Conference Board of the Mathematical Sciences Regional Conference Series in Applied Mathematics, No. 16}, PUBLISHER = {Society for Industrial and Applied Mathematics, Philadelphia, Pa.}, YEAR = {1974} } @article {RTRockafellar_1976a, AUTHOR = {R. T. Rockafellar}, FAUTHOR = {Rockafellar, R. Tyrrell}, TITLE = {Augmented {L}agrangians and applications of the proximal point algorithm in convex programming}, JOURNAL = {Math. Oper. Res.}, FJOURNAL = {Mathematics of Operations Research}, VOLUME = {1}, YEAR = {1976}, NUMBER = {2}, PAGES = {97--116}, DOI = {10.1287/moor.1.2.97}, URL = {https://doi.org/10.1287/moor.1.2.97}, } @article {RTRockafellar_1981a, AUTHOR = {R. T. Rockafellar}, FAUTHOR = {Rockafellar, R. Tyrrell}, TITLE = {Proximal subgradients, marginal values, and augmented {L}agrangians in nonconvex optimization}, JOURNAL = {Math. Oper. Res.}, FJOURNAL = {Mathematics of Operations Research}, VOLUME = {6}, YEAR = {1981}, NUMBER = {3}, PAGES = {424--436}, DOI = {10.1287/moor.6.3.424}, URL = {https://doi.org/10.1287/moor.6.3.424}, } @article {RTRockafellar_1984a, AUTHOR = {R. T. Rockafellar}, FAUTHOR = {Rockafellar, R. Tyrrell}, TITLE = {Directional differentiability of the optimal value function in a nonlinear programming problem}, NOTE = {Sensitivity, stability and parametric analysis}, JOURNAL = {Math. Programming Stud.}, FJOURNAL = {Mathematical Programming Study}, NUMBER = {21}, YEAR = {1984}, PAGES = {213--226}, DOI = {10.1007/bfb0121219}, URL = {https://doi.org/10.1007/bfb0121219}, } @article {RTRockafellar_1999a, AUTHOR = {R. T. Rockafellar}, TITLE = {Duality and optimality in multistage stochastic programming}, JOURNAL = {Ann. Oper. Res.}, FJOURNAL = {Annals of Operations Research}, VOLUME = {85}, YEAR = {1999}, PAGES = {1--19}, DOI = {10.1023/A:1018909508556}, URL = {http://dx.doi.org/10.1023/A:1018909508556}, } @TECHREPORT{RTRockafellar_2001a, AUTHOR = {R. T. Rockafellar}, TITLE = {Optimization under Uncertainty}, institution ={Department of Mathematics, University of Washington Seattle, WA 98195-4350}, year = 2001, note = {http://www.math.washington.edu/$\sim$rtr/mypage.html} } @article {RTRockafellar_2007a, AUTHOR = {R. T. Rockafellar}, TITLE = {Coherent approaches to risk in optimization under uncertainty}, JOURNAL = {Tutorials in Operations Research INFORMS}, YEAR = {2007}, PAGES = {38-61}, URL = {https://doi.org/10.1287/educ.1073.0032}, DOI = {10.1287/educ.1073.0032} } @article {RTRockafellar_2018a, AUTHOR = {R. T. Rockafellar}, FAUTHOR = {Rockafellar, R. Tyrrell}, TITLE = {Problem decomposition in block-separable convex optimization: ideas old and new}, JOURNAL = {J. Nonlinear Convex Anal.}, FJOURNAL = {Journal of Nonlinear and Convex Analysis. An International Journal}, VOLUME = {19}, YEAR = {2018}, NUMBER = {9}, PAGES = {1459--1474}, } @article{RTRockafellar_JORoyset_2010a, author = "R. T. Rockafellar and J. O. Royset", title = "On buffered failure probability in design and optimization of structures ", journal = "Reliability Engineering \& System Safety ", volume = "95", number = "5", pages = "499 - 510", year = "2010", doi = "10.1016/j.ress.2010.01.001", url = "http://dx.doi.org/10.1016/j.ress.2010.01.001" } @incollection{RTRockafellar_JORoyset_2013a, author = {R. T. Rockafellar and J. O. Royset}, fauthor = {R. Tyrrell Rockafellar and Johannes O. Royset}, title = {Superquantiles and Their Applications to Risk, Random Variables, and Regression}, editor = {H. Topaloglu}, booktitle = {2013 Tutorials in Operations Research: Theory Driven by Influential Applications}, pages = {151-167}, year = {2013}, publisher = {The Institute for Operations Research and the Management Sciences}, address = {Catonsville, MD}, doi = {10.1287/educ.2013.0111}, URL = {http://dx.doi.org/10.1287/educ.2013.0111}, } @article {RTRockafellar_JORoyset_2014a, AUTHOR = {R. T. Rockafellar and J. O. Royset}, TITLE = {Random variables, monotone relations, and convex analysis}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Optimization Society}, VOLUME = {148}, YEAR = {2014}, NUMBER = {1-2, Ser. B}, PAGES = {297--331}, DOI = {10.1007/s10107-014-0801-1}, URL = {http://dx.doi.org/10.1007/s10107-014-0801-1}, } @article{RTRockafellar_JORoyset_2015a, author={R. T. Rockafellar and J. O. Royset}, title = {Engineering Decisions under Risk Averseness}, journal = {ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering}, volume = {1}, number = {2}, pages = {04015003}, year = {2015}, doi = {10.1061/AJRUA6.0000816}, URL = {http://dx.doi.org/10.1061/AJRUA6.0000816}, } @article {RTRockafellar_JORoyset_2015b, AUTHOR = {R. T. Rockafellar and J. O. Royset}, FAUTHOR = {Rockafellar, R. 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Agarwal}, booktitle = {Recent Trends in Optimization Theory and Applications}, publisher = {World Scientific}, address = {Singapore}, year = {1995}, pages = {353--370} } @ARTICLE{KSchittkowski_1997, author = {K. Schittkowski}, title = {Parameter estimation in one-dimensionbal time-dependent partial differential equations}, journal = {Optimization Methods and Software}, year = 1997, pages = {165--210}, volume = 7 } @unpublished{KSchittkowski_1997b, author = {K. Schittkowski}, title = {Mathematische {G}rundlagen der kontinuierlichen {O}ptimierung}, note = {Lecture, Summer School on Continuous Optimization. Technical University Hamburg-Harburg, September 22--26, 1997} } @book {KSchittkowski_2002a, AUTHOR = {K. Schittkowski}, FAUTHOR = {Schittkowski, Klaus}, TITLE = {Numerical data fitting in dynamical systems. {A} practical introduction with applications and software, With 1 CD-ROM (Windows)}, SERIES = {Applied Optimization}, VOLUME = {77}, PUBLISHER = {Kluwer Academic Publishers, Dordrecht}, YEAR = {2002}, DOI = {10.1007/978-1-4419-5762-7}, URL = {http://dx.doi.org/10.1007/978-1-4419-5762-7}, } @article {SSchlenkrich_AGriewank_AWalther_2010a, FAUTHOR = {Schlenkrich, Sebastian and Griewank, Andreas and Walther, Andrea}, AUTHOR = {S. Schlenkrich and A. Griewank and A. Walther}, TITLE = {On the local convergence of adjoint {B}royden methods}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming. A Publication of the Mathematical Programming Society}, VOLUME = {121}, YEAR = {2010}, NUMBER = {2, Ser. A}, PAGES = {221--247}, DOI = {10.1007/s10107-008-0232-y}, URL = {https://doi.org/10.1007/s10107-008-0232-y}, } @unpublished{JPSchloder_1997, author = {J. P. Schl{\"o}der}, title = {Parametersch{\"a}tzung und {V}ersuchsplanung in {ODE} und {DAE}}, note = {Lecture, Summer School on Continuous Optimization. Technical University Hamburg-Harburg, September 22--26, 1997} } @INPROCEEDINGS{RSchlossman_KWilliams_DKozlowski_JJParish_2021a, author = {R. Schlossman and K. Williams and D. Kozlowski and J. J. Parish}, fauthor = {Rachel Schlossman and Kyle Williams and David Kozlowski and Julie J. Parish}, title = {Open-Source, Object-Oriented, Multi-Phase Pseudospectral Optimization Using Pyomo}, booktitle = {AIAA Scitech 2021 Forum}, year = {2021}, doi = {10.2514/6.2021-1951}, URL = {https://arc.aiaa.org/doi/abs/10.2514/6.2021-1951}, } @article{PJSchmid_2010a, author = {P. J. Schmid}, fauthor = {Schmid, Peter J.}, title = {Dynamic mode decomposition of numerical and experimental data}, journal = {Journal of Fluid Mechanics}, volume = {656}, month = {8}, year = {2010}, pages = {5--28}, doi = {10.1017/S0022112010001217}, URL = {http://dx.doi.org/10.1017/S0022112010001217}, } @ARTICLE{CSchmid_LTBiegler_1994a, author = {C. Schmid and L. T. Biegler}, title = {Quadratic programming methods for reduced {H}essian {SQP}}, journal = {Computers Chem. Engng.}, year = 1994, pages = {817--832}, volume = 18 } @ARTICLE{CSchmid_LTBiegler_1994b, author = {C. Schmid and L. T. Biegler}, title = {A simultaneous approach for flowsheet optimization with existing modelling procedures}, journal = {Trans. I. Chem. Eng., Part A}, year = 1994, pages = {382--388}, volume = 72 } @book {PJSchmid_DSHenningson_2001a, AUTHOR = {P. J. Schmid and D. S. Henningson}, FAUTHOR = {Schmid, Peter J. and Henningson, Dan S.}, TITLE = {Stability and transition in shear flows}, SERIES = {Applied Mathematical Sciences}, VOLUME = {142}, PUBLISHER = {Springer-Verlag, New York}, YEAR = {2001}, DOI = {10.1007/978-1-4613-0185-1}, URL = {http://dx.doi.org/10.1007/978-1-4613-0185-1}, } @TECHREPORT{JSchmidhuber_1993a, author = {J. Schmidhuber}, fauthor = {J\"urgen Schmidhuber}, title = {{N}etzwerkarchitekturen, {Z}ielfunktionen un {K}ettenregel}, institution = {Technische Universit\"at M\"unchen}, address = {Strasse des 17 Juni 136, D--10623 Berlin, Germany}, note = {Habilitation Thesis}, year = 1993 } @article{JSchmidhuber_2015a, author = {J. Schmidhuber}, fauthor = {J\"urgen Schmidhuber}, title = {Deep learning in neural networks: {A}n overview}, journal = {Neural Networks}, volume = {61}, year = {2015}, pages = {109--118}, doi = {10.1016/j.neunet.2014.09.003}, url = {https://doi.org/10.1016/j.neunet.2014.09.003}, } @PHDTHESIS{ASchmidt_2014a, AUTHOR = {A. Schmidt}, title = {Direct Methods for {PDE}-Constrained Optimization Using Derivative-Extended {POD} Reduced-Order Models}, SCHOOL = {Interdisziplin{\"a}res Zentrum f{\"u}r Wissenschaftliches Rechnen (IWR), Universti{\"a}t Heidelberg}, year = {2014}, url = {http://www.ub.uni-heidelberg.de/archiv/17780 (accessed Jan 15, 2016)} } @article {ESchmidt_1907a, AUTHOR = {E. Schmidt}, FAUTHOR = {Schmidt, Erhard}, TITLE = {Zur {T}heorie der linearen und nichtlinearen {I}ntegralgleichungen}, JOURNAL = {Math. Ann.}, FJOURNAL = {Mathematische Annalen}, VOLUME = {63}, YEAR = {1907}, NUMBER = {4}, PAGES = {433--476}, DOI = {10.1007/BF01449770}, URL = {https://doi.org/10.1007/BF01449770}, } @phdthesis{SSchmidt_2010a, Author = {S. Schmidt}, Title = {Efficient Large Scale Aerodynamic Design Based on Shape Calculus}, Institution = {{Universit\"at Trier}}, Address = {Fb--IV, Mathematik, D--54286 Trier, Germany}, url = {http://ubt.opus.hbz-nrw.de/frontdoor.php?source_opus=569&la=en}, year = {2010} } @article{OTSchmidt_TColonius_2020a, author = {O. T. Schmidt and T. Colonius}, fauthor = {Schmidt, Oliver T. and Colonius, Tim}, title = {Guide to Spectral Proper Orthogonal Decomposition}, journal = {AIAA Journal}, volume = {58}, number = {3}, pages = {1023-1033}, year = {2020}, doi = {10.2514/1.J058809}, URL = {https://doi.org/10.2514/1.J058809} } @article {ASchmidt_BHaasdonk_2016a, AUTHOR = {A. Schmidt and B. Haasdonk}, TITLE = {Reduced basis method for {$\Cal H_2$} optimal feedback control problems}, JOURNAL = {IFAC-PapersOnLine}, FJOURNAL = {IFAC-PapersOnLine}, VOLUME = {49}, YEAR = {2016}, NUMBER = {8}, PAGES = {327--332}, DOI = {10.1016/j.ifacol.2016.07.462}, URL = {https://doi.org/10.1016/j.ifacol.2016.07.462}, } @article {ASchmidt_BHaasdonk_2018a, AUTHOR = {A. Schmidt and B. Haasdonk}, FAUTHOR = {Schmidt, Andreas and Haasdonk, Bernard}, TITLE = {Reduced basis approximation of large scale parametric algebraic {R}iccati equations}, JOURNAL = {ESAIM Control Optim. Calc. Var.}, FJOURNAL = {ESAIM. Control, Optimisation and Calculus of Variations}, VOLUME = {24}, YEAR = {2018}, NUMBER = {1}, PAGES = {129--151}, DOI = {10.1051/cocv/2017011}, URL = {https://doi.org/10.1051/cocv/2017011}, } @INPROCEEDINGS {MSchmidt_NLeRoux_FBach_2011a, AUTHOR = {M. Schmidt and N. {Le Roux} and F. Bach}, FAUTHOR = {Schmidt, Mark and Le Roux, Nicolas and Bach, Francis}, TITLE = {Convergence Rates of Inexact Proximal-Gradient Methods for Convex Optimization}, BOOKTITLE = {NIPS'11: Proceedings of the 24th International Conference on Neural Information Processing Systems, December 2011}, PAGES = {1458–1466}, YEAR = {2011}, NOTE = {extended version available as arXiv:1109.2415v2}, URL = {https://doi.org/10.48550/arXiv.1109.2415} } @article {MSchmidt_NLeRoux_FBach_2011b, AUTHOR = {M. Schmidt and N. {Le Roux} and F. Bach}, FAUTHOR = {Schmidt, Mark and Le Roux, Nicolas and Bach, Francis}, TITLE = {Convergence Rates of Inexact Proximal-Gradient Methods for Convex Optimization}, JOURNAL = {arXiv:1109.2415v2}, YEAR = {2011}, URL = {https://doi.org/10.48550/arXiv.1109.2415} } @article {MSchmidt_NLeRoux_FBach_2017a, AUTHOR = {M. Schmidt and N. {Le Roux} and F. Bach}, FAUTHOR = {Schmidt, Mark and Le Roux, Nicolas and Bach, Francis}, TITLE = {Minimizing finite sums with the stochastic average gradient}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming}, VOLUME = {162}, YEAR = {2017}, NUMBER = {1-2, Ser. A}, PAGES = {83--112}, DOI = {10.1007/s10107-016-1030-6}, URL = {https://doi.org/10.1007/s10107-016-1030-6}, } @article {MSchmidt_NLeRoux_FBach_2017b, AUTHOR = {M. Schmidt and N. {Le Roux} and F. Bach}, FAUTHOR = {Schmidt, Mark and Le Roux, Nicolas and Bach, Francis}, TITLE = {Erratum to: {M}inimizing finite sums with the stochastic average gradient}, JOURNAL = {Math. Program.}, FJOURNAL = {Mathematical Programming}, VOLUME = {162}, YEAR = {2017}, NUMBER = {1-2, Ser. A}, PAGES = {113}, DOI = {10.1007/s10107-016-1051-1}, URL = {https://doi.org/10.1007/s10107-016-1051-1}, } @article {ASchmidt_APotschka_SKoerkel_HGBock_2013a, AUTHOR = {A. Schmidt and A. Potschka and S. K{\"o}rkel and H. G. Bock}, TITLE = {Derivative-extended {POD} reduced-order modeling for parameter estimation}, JOURNAL = {SIAM J. Sci. Comput.}, FJOURNAL = {SIAM Journal on Scientific Computing}, VOLUME = {35}, YEAR = {2013}, NUMBER = {6}, PAGES = {A2696--A2717}, DOI = {10.1137/120896694}, URL = {http://dx.doi.org/10.1137/120896694}, } @article{OTSchmidt_PJSchmid_2019a, author = {O. T. Schmidt and P. J. Schmid}, fauthor = {Schmidt, Oliver T. and Schmid, Peter J.}, title = {A conditional space?time POD formalism for intermittent and rare events: example of acoustic bursts in turbulent jets}, journal = {Journal of Fluid Mechanics}, year = {2019}, volume = {867}, pages = {R2}, DOI = {10.1017/jfm.2019.200}, URL = {http://dx.doi.org/10.1017/jfm.2019.200}, } @BOOK{ASchmidt_KGSiebert_2005a, author = {A. Schmidt and K. G. Siebert}, title = {Design of Adaptive Finite Element Software. The Finite Element Toolbox {ALBERTA}}, publisher = {Springer Verlag}, address = {Berlin, Heidelberg, New York}, series = {Lecture Notes in Computational Science and Engineering, Vol 42}, year = 2005 } @article {MSchmidt_MSirventWWollner_2019a, AUTHOR = {M. Schmidt and Mathias Sirvent and W. Wollner}, FAUTHOR = {Schmidt, Martin and Sirvent, Mathias and Wollner, Winnifried}, TITLE = {Newton-type methods for unconstrained and linearly constrained optimization}, JOURNAL = {Math. Programming}, FJOURNAL = {Mathematical Programming}, VOLUME = {7}, YEAR = {2019}, PAGES = {}, DOI = {10.1007/s10107-018-1309-x}, URL = {https://doi.org/10.1007/s10107-018-1309-x} } @article {ASchmidt_DWittwar_BHaasdonk_2020a, AUTHOR = {A. Schmidt and D. Wittwar and B. Haasdonk}, FAUTHOR = {Schmidt, Andreas and Wittwar, Dominik and Haasdonk, Bernard}, TITLE = {Rigorous and effective a-posteriori error bounds for nonlinear problems---application to {RB} methods}, JOURNAL = {Adv. Comput. Math.}, FJOURNAL = {Advances in Computational Mathematics}, VOLUME = {46}, YEAR = {2020}, NUMBER = {2}, PAGES = {Paper No. 32, 30}, DOI = {10.1007/s10444-020-09741-x}, URL = {https://doi.org/10.1007/s10444-020-09741-x}, } @inproceedings{JDSchmisseur_2013a, author = {J. D. Schmisseur}, fauthor = {John D. Schmisseur}, title = {Hypersonics into the 21st century: {A} perspective on {AFOSR}-sponsored research in aerothermodynamics}, booktitle = {43rd AIAA Fluid Dynamics Conference, June 24-27, 2013, San Diego, CA. Paper AIAA 2013-2606}, year = {2013}, doi = {10.2514/6.2013-2606}, url = {https://doi.org/10.2514/6.2013-2606} } @article{JDSchmisseur_2015a, author = {J. D. Schmisseur}, fauthor = {John D. Schmisseur}, title = {Hypersonics into the 21st century: {A} perspective on {AFOSR}-sponsored research in aerothermodynamics}, journal = {Progress in Aerospace Sciences}, volume = {72}, pages = {3-16}, year = {2015}, note = {Celebrating 60 Years of the {A}ir {F}orce {O}ffice of {S}cientific {R}esearch ({AFOSR}): {A} {R}eview of {H}ypersonic A{A}erothermodynamics}, doi = {10.1016/j.paerosci.2014.09.009}, url = {https://doi.org/10.1016/j.paerosci.2014.09.009} } @INPROCEEDINGS{RFSchmit_MNGlauser_2004a, author = {R. F. Schmit and M. N. Glauser}, title = {Improvements in Low Dimensional Tools for Flow-Structure Interaction Problems: Using Global POD}, booktitle = {42th Aerospace Science Meeting \& Exhibit, January, 2004, Reno, Nevada, AIAA Paper 2004--889}, year = {2004}, NUMBER = {3}, PAGES = {749--769 (electronic)} } @ARTICLE{HSchmitt_2000, author = {H. Schmitt}, title = {Numerical Simulation of {B}ingham Fluid Flow Using Prox-Regularization}, journal = {J. Optim. 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Zabaras}, title={An inverse method for determining elastic material properties and a material interface}, journal={International Journal for Numerical Methods in Engineering}, volume={33}, year={1992}, pages={2039--2057}, } @inproceedings{JSnoek_HLarochelle_RPAdams_2012a, author = {J. Snoek and H. Larochelle and R. P. Adams}, fauthor = {Snoek, Jasper and Larochelle, Hugo and Adams, Ryan P}, title = {Practical {B}ayesian Optimization of Machine Learning Algorithms}, editor = {F. Pereira and C.J. Burges and L. Bottou and K.Q. Weinberger}, booktitle = {Advances in Neural Information Processing Systems}, publisher = {Curran Associates, Inc.}, volume = {25}, year = {2012}, url = {https://proceedings.neurips.cc/paper_files/paper/2012/file/05311655a15b75fab86956663e1819cd-Paper.pdf} } @incollection {WSnyder_CMou_HLiu_OSan_RDeVita_TIliescu_2022a, AUTHOR = {W. Snyder and C. Mou and H. Liu and O. San and R. {De Vita} and T. 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Wilke}, FAUTHOR = {Snyman, Jan A. and Wilke, Daniel N.}, TITLE = {Practical mathematical optimization. {B}asic optimization theory and gradient-based algorithms}, SERIES = {Springer Optimization and Its Applications}, VOLUME = {133}, PUBLISHER = {Springer, Cham}, YEAR = {2018}, DOI = {10.1007/978-3-319-77586-9}, URL = {https://doi.org/10.1007/978-3-319-77586-9}, } @article {JSchoeberl_WZulehner_2003a, FAUTHOR = {Sch\"{o}berl, Joachim and Zulehner, Walter}, AUTHOR = {J. Sch{\"o}berl and W. Zulehner}, TITLE = {On {S}chwarz-type smoothers for saddle point problems}, JOURNAL = {Numer. Math.}, FJOURNAL = {Numerische Mathematik}, VOLUME = {95}, YEAR = {2003}, NUMBER = {2}, PAGES = {377--399}, DOI = {10.1007/s00211-002-0448-3}, URL = {https://doi.org/10.1007/s00211-002-0448-3} } @TECHREPORT{JSchoeberl_WZulehner_2006a, AUTHOR = {J. Sch{\"o}berl and W. Zulehner}, title = {Symmetric Indefinite Preconditioners for Saddle Point Problems with Applications to {PDE}-Constrained Optimization Problems}, institution = {SFB F013 ''Numerical and Symbolic Scientific Computing''}, address = {Johannes Kepler Universit\"at Linz}, number = {2006-19}, year = 2006 } @article {JSchoeberl_WZulehner_2007a, AUTHOR = {J. Sch{\"o}berl and W. Zulehner}, FAUTHOR = {Sch{\"o}berl, Joachim and Zulehner, Walter}, TITLE = {Symmetric indefinite preconditioners for saddle point problems with applications to {PDE}-constrained optimization problems}, JOURNAL = {SIAM J. Matrix Anal. Appl.}, FJOURNAL = {SIAM Journal on Matrix Analysis and Applications}, VOLUME = {29}, YEAR = {2007}, NUMBER = {3}, PAGES = {752--773 (electronic)}, DOI = {10.1137/060660977}, URL = {https://doi.org/10.1137/060660977}, } @book {BScholkopf_AJSmola_2001a, AUTHOR = {B. Sch\"{o}lkopf and A. J. Smola}, FAUTHOR = {Sch\"{o}lkopf, Bernhard and Smola Alexander J.}, TITLE = {Learning with Kernels. {S}upport Vector Machines, Regularization, Optimization, and Beyond}, SERIES = {Adaptive Computation and Machine Learning}, PUBLISHER = {MIT Press, Cambridge, MA}, YEAR = {2001}, DOI = {10.7551/mitpress/4175.001.0001}, URL = {https://doi.org/10.7551/mitpress/4175.001.0001} } @Article{BScholkopf_AJSmola_KRMuller_1998a, author = {B. Sch\"{o}lkopf and A. J. Smola and K.-R. M\"{u}ller}, title = {Nonlinear component analysis as a kernel Eigenvalue problem}, journal = {Neural Computation}, volume = {10}, issue = {5}, pages = {1299-1319}, year = {1998}, doi = {doi:10.1162/089976698300017467} } @book {SScholtes_2012a, AUTHOR = {S. 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Hussain}, title = {Coherent structure generation in near-wall turbulence}, journal = {Journal of Fluid Mechanics}, year = 2002, volume = 453, pages = {57--108} } @article {WSchoppa_FHussain_RWMetcalfe_1995a, AUTHOR = {W. Schoppa and F. Hussain and R. W. Metcalfe}, TITLE = {A new mechanism of small-scale transition in a plane mixing layer: core dynamics of spanwise vortices}, JOURNAL = {J. Fluid Mech.}, FJOURNAL = {Journal of Fluid Mechanics}, VOLUME = {298}, YEAR = {1995}, PAGES = {23--80} } @ARTICLE{DSchotzau_ChSchwab_2000, author = {D. Sch{\"o}tzau and Ch. Schwab}, title = {Time Discretization of parabolic Problems by the $hp$--Version of the Discontinuous {G}alkerin Finite Element Method}, journal = {SIAM J. Numer. Anal.}, year = 2000, volume = 38, pages = {837--875} } @article {DSchotzau_LZhu_2009a, AUTHOR = {D. Sch{\"o}tzau and L. Zhu}, FAUTHOR = {Sch{\"o}tzau, Dominik and Zhu, Liang}, TITLE = {A robust a-posteriori error estimator for discontinuous {G}alerkin methods for convection-diffusion equations}, JOURNAL = {Appl. Numer. Math.}, FJOURNAL = {Applied Numerical Mathematics. An IMACS Journal}, VOLUME = {59}, YEAR = {2009}, NUMBER = {9}, PAGES = {2236--2255}, DOI = {10.1016/j.apnum.2008.12.014}, URL = {http://dx.doi.org/10.1016/j.apnum.2008.12.014}, } @book {WSchoutens_2000a, AUTHOR = {W. Schoutens}, FAUTHOR = {Schoutens, Wim}, TITLE = {Stochastic processes and orthogonal polynomials}, SERIES = {Lecture Notes in Statistics}, VOLUME = {146}, PUBLISHER = {Springer-Verlag}, ADDRESS = {New York}, YEAR = {2000} } @article {NNSchraudolph_2002a, AUTHOR = {N. N. 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International Conference in Chemnitz, Germany, April 20--25, 1998}, series = {Int. Series of Numer. Math. Vol.~133}, publisher = {Birkh{\"a}user Verlag}, address = {Basel, Boston, Berlin}, pages = {257--266}, year = {1999} } @article {VSchulz_2012a, AUTHOR = {V. H. Schulz}, FAUTHOR = {Volker H. Schulz}, TITLE = {A {R}iemannian View on Shape Optimization}, JOURNAL = {arXiv:1203.1493v2 }, YEAR = {2012}, URL = {http://arxiv.org/abs/1203.1493}, NOTE = {appeared as \cite{VSchulz_2014a}} } @article{VSchulz_2014a, AUTHOR = {V. H. Schulz}, FAUTHOR = {Volker H. Schulz}, TITLE = {A {R}iemannian View on Shape Optimization}, journal = {Foundations of Computational Mathematics}, volume = {14}, number = {3}, pages = {483-501}, year= {2014}, doi = {10.1007/s10208-014-9200-5}, url = {http://dx.doi.org/10.1007/s10208-014-9200-5} } @ARTICLE{VSchulz_HGBock_MCSteinbach_1998a, author = {V. Schulz and H. G. Bock and M. C. 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Cattafesta}, TITLE = {Evaluating the accuracy of the dynamic mode decomposition}, JOURNAL = {arXiv:1710.00745v1}, YEAR = {2017}, URL = {http://arxiv.org/abs/1710.00745v1}, } @article {HZhang_STMDawson_CWRowley_EADeem_LNCattafesta_2019a, AUTHOR = {H. Zhang and S. T. M. Dawson ansd C. W. Rowley and E. A. Deem and L. N. Cattafesta}, FAUTHOR = {Hao Zhang and Scott T. M. Dawson and Clarence W. Rowley and Eric A. Deem and Louis N. Cattafesta}, TITLE = {Online dynamic mode decomposition for time-varying systems}, JOURNAL = {SIAM J. Appl. Dyn. Syst.}, FJOURNAL = {SIAM Journal on Applied Dynamical Systems}, VOLUME = {18}, YEAR = {2019}, NUMBER = {3}, DOI = {10.1137/18M1192329}, URL = {https://doi.org/10.1137/18M1192329}, } @article {HZhang_WWHager_2004a, AUTHOR = {H. Zhang and W. W. Hager}, FAUTHOR = {Zhang, Hongchao and Hager, William W.}, TITLE = {A nonmonotone line search technique and its application to unconstrained optimization}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {14}, YEAR = {2004}, NUMBER = {4}, PAGES = {1043--1056}, DOI = {10.1137/S1052623403428208}, URL = {https://doi.org/10.1137/S1052623403428208}, } @INPROCEEDINGS{HZhang_BKrogh_JMoura_WZhang_2004a, author = {H. Zhang and B. Krogh and J. Moura and W. Zhang}, title = {Estimation in Virtual Sensor-Actuator Arrays Using Reduced-Order Physical Models}, booktitle = {IEEE CDC 2004, Atlantis, Bahamas}, year = {2004}, } @INPROCEEDINGS{HZhang_JMoura_BKrogh_2005a, author = {H. Zhang and J. Moura and B. Krogh}, title = {Estimation in Sensor Networks: A Graph Approach}, booktitle = {The Fourth International Conference on Information Processing in Sensor Networks (IPSN 2005) April 25-27, Los Angeles, CA}, year = {2005}, pages = {203-209}, note = {available at http://dx.doi.org/10.1109/IPSN.2005.1440926}, } @article{KZhang_GLi_ACReynolds_JYao_LZhang_2010a, author = "K. Zhang and G. Li and A. C. Reynolds and J. Yao and L. 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Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {28}, YEAR = {2018}, NUMBER = {4}, PAGES = {3025--3056}, DOI = {10.1137/16M1059941}, URL = {https://doi.org/10.1137/16M1059941}, } @article{WZhang_HRahimian_GBayraksan_2016a, author={Zhang, W. and Rahimian, H. and Bayraksan, G.}, title={Decomposition algorithms for risk-averse multistage stochastic programs with application to water allocation under uncertainty}, journal={INFORMS Journal on Computing}, volume={28}, number={3}, pages={385--404}, year={2016}, url={https://doi.org/10.1287/ijoc.2015.0684}, doi = {10.1287/ijoc.2015.0684} } @article {XZhang_MBurger_SOsher_2011a, AUTHOR = {X. Zhang and M. Burger and S. Osher}, FAUTHOR = {Zhang, Xiaoqun and Burger, Martin and Osher, Stanley}, TITLE = {A unified primal-dual algorithm framework based on {B}regman iteration}, JOURNAL = {J. Sci. Comput.}, FJOURNAL = {Journal of Scientific Computing}, VOLUME = {46}, YEAR = {2011}, NUMBER = {1}, PAGES = {20--46}, DOI = {10.1007/s10915-010-9408-8}, URL = {https://doi.org/10.1007/s10915-010-9408-8}, }1 @article {XZhang_SGrammatico_GSchildbach_PGoulart_JLygeros_2015a, AUTHOR = {X. Zhang and S. Grammatico and G. Schildbach and P. Goulart and J. Lygeros}, FAUTHOR = {Zhang, Xiaojing and Grammatico, Sergio and Schildbach, Georg and Goulart, Paul and Lygeros, John}, TITLE = {On the sample size of random convex programs with structured dependence on the uncertainty}, JOURNAL = {Automatica J. IFAC}, FJOURNAL = {Automatica. A Journal of IFAC, the International Federation of Automatic Control}, VOLUME = {60}, YEAR = {2015}, PAGES = {182--188}, DOI = {10.1016/j.automatica.2015.07.013}, URL = {http://dx.doi.org/10.1016/j.automatica.2015.07.013}, } @ARTICLE{YZhang_1992, author = {Y. 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Zhang}, FAUTHOR = {Zhang, Yongmin}, TITLE = {Error estimates for the numerical approximation of time-dependent flow of {B}ingham fluid in cylindrical pipes by the regularization method}, JOURNAL = {Numer. Math.}, FJOURNAL = {Numerische Mathematik}, VOLUME = {96}, YEAR = {2003}, NUMBER = {1}, PAGES = {153--184} } @techreport{YZhang_2004a, AUTHOR = {Y. Zhang}, FAUTHOR = {Zhang, Yin}, TITLE = {General robust-optimization formulation for nonlinear programming}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University, Houston, TX 77005--1892}, year = {2004}, number = {TR04--13}, note = {appeared as \cite{YZhang_2007a}} } @techreport{YZhang_2005a, AUTHOR = {Y. Zhang}, FAUTHOR = {Zhang, Yin}, TITLE = {A simple proof for recoverability of $\ell_1$-minimization: Go over or under?}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University, Houston, TX 77005--1892}, year = {2005}, number = {TR05--19}, note = {available at http://www.caam.rice.edu/tech\_reports.html (accessed oct 6, 2011)} } @article {YZhang_2007a, AUTHOR = {Y. Zhang}, FAUTHOR = {Zhang, Yin}, TITLE = {General robust-optimization formulation for nonlinear programming}, JOURNAL = {J. Optim. Theory Appl.}, FJOURNAL = {Journal of Optimization Theory and Applications}, VOLUME = {132}, YEAR = {2007}, NUMBER = {1}, PAGES = {111--124}, DOI = {10.1007/s10957-006-9082-z}, URL = {https://doi.org/10.1007/s10957-006-9082-z}, } @TECHREPORT{YZhang_2010a, AUTHOR = {Y. Zhang}, FAUTHOR = {Zhang, Yin}, title = {Convergence of a Class of Stationary Iterative Methods for Saddle Point Problems}, institution = {Department of Computational and Applied Mathematics}, address = {Rice University, Houston, TX 77005--1892}, number = {TR10-24}, year = {2010} } @article {YZhang_LFeng_SLi_PBenner_2015a, AUTHOR = {Y. Zhang and L. Feng and S. Li and P. Benner}, FAUTHOR = {Zhang, Yongjin and Feng, Lihong and Li, Suzhou and Benner, Peter}, TITLE = {An {E}fficient {O}utput {E}rror {E}stimation for {M}odel {O}rder {R}eduction of {P}arametrized {E}volution {E}quations}, JOURNAL = {SIAM J. Sci. Comput.}, FJOURNAL = {SIAM Journal on Scientific Computing}, VOLUME = {37}, YEAR = {2015}, NUMBER = {6}, PAGES = {B910--B936}, DOI = {10.1137/140998603}, URL = {http://dx.doi.org/10.1137/140998603}, } @article {ZZhang_MGuo_JSHesthaven_2019a, AUTHOR = {Z. Zhang and M. Guo and J. S. Hesthaven}, FAUTHOR = {Zhang, Zhenying and Guo, Mengwu and Hesthaven, Jan S.}, TITLE = {Model order reduction for large-scale structures with local nonlinearities}, JOURNAL = {Comput. Methods Appl. Mech. Engrg.}, FJOURNAL = {Computer Methods in Applied Mechanics and Engineering}, VOLUME = {353}, YEAR = {2019}, PAGES = {491--515}, DOI = {10.1016/j.cma.2019.04.042}, URL = {https://doi.org/10.1016/j.cma.2019.04.042}, } @incollection {YZhang_MMerritt_2006a, AUTHOR = {Y. Zhang and M. Merritt}, FAUTHOR = {Zhang, Yin and Merritt, Michael}, TITLE = {Fluence map optimization in {IMRT} cancer treatment planning and a geometric approach}, EDITOR = {W. W. Hager and S.-J. Huang and P. M. Pardalos and O. A. Prokopyev}, BOOKTITLE = {Multiscale optimization methods and applications}, SERIES = {Nonconvex Optim. Appl.}, VOLUME = {82}, PAGES = {205--227}, PUBLISHER = {Springer}, ADDRESS = {New York}, YEAR = {2006} } @ARTICLE{YZhang_RATapia_FPotra_1993, author = {Y. Zhang and R. A. Tapia and F. Potra}, title = {On the superlinear convergence of interior point algorithms for a general class of problems}, journal = {SIAM J. on Optimization}, pages = {413--422}, volume = 3, year = 1993 } @article {YZhang_DYang_2013a, AUTHOR = {Y. Zhang and D. Yang}, FAUTHOR = {Zhang, Yin and Yang, Daoyong}, TITLE = {Simultaneous estimation of relative permeability and capillary pressure for tight formations using ensemble-based history matching method}, JOURNAL = {Comput. \& Fluids}, FJOURNAL = {Computers \& Fluids. An International Journal}, VOLUME = {71}, YEAR = {2013}, PAGES = {446--460}, DOI = {10.1016/j.compfluid.2012.11.013}, URL = {http://dx.doi.org/10.1016/j.compfluid.2012.11.013}, } @ARTICLE{JZZhang_DTZhu_1990, author = {J. Z. Zhang and D. T. 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Hesthaven and E. M. R{\o}nquist}, BOOKTITLE = {Spectral and high order methods for partial differential equations}, SERIES = {Lect. Notes Comput. Sci. Eng.}, VOLUME = {76}, PAGES = {347--355}, PUBLISHER = {Springer, Heidelberg}, YEAR = {2011}, DOI = {10.1007/978-3-642-15337-2\_32}, URL = {http://dx.doi.org/10.1007/978-3-642-15337-2\_32}, } @article {ZZhang_MChoi_GEKarniadakis_2012a, AUTHOR = {Z. Zhang and M. Choi and G. E. Karniadakis}, FAUTHOR = {Zhang, Zhongqiang and Choi, Minseok and Karniadakis, George Em}, TITLE = {Error estimates for the {ANOVA} method with polynomial chaos interpolation: tensor product functions}, JOURNAL = {SIAM J. Sci. Comput.}, FJOURNAL = {SIAM Journal on Scientific Computing}, VOLUME = {34}, YEAR = {2012}, NUMBER = {2}, PAGES = {A1165--A1186}, DOI = {10.1137/100788859}, URL = {http://dx.doi.org/10.1137/100788859}, } @article {ZZhang_JTomlinson_CMartin_1997a, AUTHOR = {Z. Zhang and J. Tomlinson and C. Martin}, TITLE = {Splines and linear control theory}, JOURNAL = {Acta Appl. Math.}, FJOURNAL = {Acta Applicandae Mathematicae. An International Survey Journal on Applying Mathematics and Mathematical Applications}, VOLUME = {49}, YEAR = {1997}, NUMBER = {1}, PAGES = {1--34}, } @ARTICLE{ZZhang_XYang_IVOseledets_GEKarniadakis_LDaniel_2015a, author={Z. Zhang and X. Yang and I. V. Oseledets and G. E. Karniadakis and L. Daniel}, journal={Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on}, title={Enabling High-Dimensional Hierarchical Uncertainty Quantification by {ANOVA} and Tensor-Train Decomposition}, year={2015}, month={Jan}, volume={34}, number={1}, pages={63-76}, doi={10.1109/TCAD.2014.2369505}, } @book {MZhao_2021a, AUTHOR = {M. Zhao}, FAUTHOR = {Min Zhao}, TITLE = {Prediction and Validation Technologies of Aerodynamic Force and Heat for Hypersonic Vehicle Design}, SERIES = {Springer Aerospace Technology}, PUBLISHER = {Springer, Singapore}, YEAR = {2021}, DOI = {10.1007/978-981-33-6526-1}, URL = {https://doi.org/10.1007/978-981-33-6526-1}, } @article{XZhao_MHDao_QTLe_2023a, author = {X. Zhao and M. H. Dao and Q. T. Le}, fauthor = {Xiang Zhao and My Ha Dao and Quang Tuyen Le}, title = {Digital twining of an offshore wind turbine on a monopile using reduced-order modelling approach}, journal = {Renewable Energy}, volume = {206}, pages = {531-551}, year = {2023}, doi = {10.1016/j.renene.2023.02.067}, url = {https://doi.org/10.1016/j.renene.2023.02.067}, } @article{JZhao_RZhou_2013a, author = {J. Zhao and R. Zhou}, fauthor = {Jiang Zhao and Rui Zhou}, title = {Reentry trajectory optimization for hypersonic vehicle satisfying complex constraints}, journal = {Chinese Journal of Aeronautics}, volume = {26}, number = {6}, pages = {1544 - 1553}, year = {2013}, doi = {10.1016/j.cja.2013.10.009}, url = {https://doi.org/10.1016/j.cja.2013.10.009}, } @ARTICLE{JZhao_RZhou_XJin_2014a, author = {J. Zhao and R. Zhou and X. Jin}, fauthor = {Zhao, Jiang and Zhou, Rui and Jin, Xuelian}, title = {Progress in reentry trajectory planning for hypersonic vehicle}, journal = {Journal of Systems Engineering and Electronics}, year = {2014}, volume = {25}, number = {4}, pages = {627-639}, doi = {10.1109/JSEE.2014.00073}, url = {https://doi.org/10.1109/JSEE.2014.00073} } @ARTICLE{ZZheng_YXiu_IVOseledets_GEKarniadakis_LDaniel_2015a, author={Z. Zheng and Y. Xiu and I. V. Oseledets and G. E. Karniadakis and L. Daniel}, fauthor={Zheng Zhang and Xiu Yang and Oseledets, I.V. and Karniadakis, G.E. and Daniel, L.}, title={Enabling High-Dimensional Hierarchical Uncertainty Quantification by {ANOVA} and Tensor-Train Decomposition}, journal={Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on}, year={2015}, volume={34}, number={1}, pages={63-76}, doi={10.1109/TCAD.2014.2369505}, } @article {XZhong_CWShu_2011a, AUTHOR = {X. Zhong and C.-W. Shu}, FAUTHOR = {Zhong, Xinghui and Shu, Chi-Wang}, TITLE = {Numerical resolution of discontinuous {G}alerkin methods for time dependent wave equations}, JOURNAL = {Comput. Methods Appl. Mech. Engrg.}, FJOURNAL = {Computer Methods in Applied Mechanics and Engineering}, VOLUME = {200}, YEAR = {2011}, NUMBER = {41-44}, PAGES = {2814--2827}, DOI = {10.1016/j.cma.2011.05.010}, URL = {http://dx.doi.org/10.1016/j.cma.2011.05.010}, } @article {DXZhou_2008a, AUTHOR = {D.-X. 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Yin}, fauthor = {Zhou, Hao and Chen, Wanchun and Yin, Xingliang}, title = {Hypersonic vehicle trajectory design based on optimal control theory}, editor = {J. Fang and Z. Wang}, booktitle = {Sixth International Symposium on Instrumentation and Control Technology: Sensors, Automatic Measurement, Control, and Computer Simulation}, organization = {International Society for Optics and Photonics}, publisher = {SPIE}, volume = {6358}, pages = {539--546}, year = {2006}, doi = {10.1117/12.717986}, URL = {https://doi.org/10.1117/12.717986} } @inproceedings{QZhou_KSun_KMohanram_DCSorensen_2006a, author = {Q. Zhou and K. Sun and K. Mohanram and D. C. 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Ziems}, title = {Adaptive Multilevel SQP-Methods for PDE-constrained Optimization}, school = {Fachbereich Mathematik, Technische Universit{\"a}t Darmstadt}, address = {Schlossgartenstr.~7, 64289 Darmstadt, Germany}, year = 2010 } @article {JCZiems_2013a, AUTHOR = {J. C. Ziems}, FAUTHOR = {Ziems, J. Carsten}, TITLE = {Adaptive multilevel inexact {SQP}-methods for {PDE}-constrained optimization with control constraints}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {23}, YEAR = {2013}, NUMBER = {2}, PAGES = {1257--1283}, DOI = {10.1137/110848645}, URL = {https://doi.org/10.1137/110848645}, } @TECHREPORT{JCZiems_SUlbrich_2008a, author = {J. C. Ziems and S. Ulbrich}, title = {Adaptive Multilevel Inexact SQP--Methods for {PDE}--Constrained Optimization}, institution = {Fachbereich Mathematik, Technische Universit{\"a}t Darmstadt}, address = {Schlossgartenstr.~7, 64289 Darmstadt, Germany}, year =2008, note = {appeared as \cite{JCZiems_SUlbrich_2011a}} } @article{JCZiems_SUlbrich_2011a, AUTHOR = {J. C. Ziems and S. Ulbrich}, FAUTHOR = {Ziems, J. Carsten and Ulbrich, Stefan}, TITLE = {Adaptive multilevel inexact {SQP} methods for {PDE}-constrained optimization}, JOURNAL = {SIAM J. Optim.}, FJOURNAL = {SIAM Journal on Optimization}, VOLUME = {21}, YEAR = {2011}, NUMBER = {1}, PAGES = {1--40}, DOI = {10.1137/080743160}, URL = {https://doi.org/10.1137/080743160}, } @TECHREPORT{JCZiems_SUlbrich_2011b, author = {J. C. Ziems and S. 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