Ryan Nong

Education

• Rice University, 2005 - 2009
  
  • Ph.D. in Computational and Applied Mathematics, August 2009
  • M.A. in Computational and Applied Mathematics, June 2007
• California Institute of Technology, 2001 - 2005
  
  • B.S. in Applied and Computational Mathematics, June 2005
  • Minor in Control and Dynamical Systems, June 2005
• Pasadena City College, 2000 - 2001
• HCMC University of Technology, Civil Engineering, 1995 - 1999

Research Interests

• Numerical Linear Algebra
• Numerical Analysis
• Model-Order Reduction
• Large-Scale Scientific Computing

Publications & Technical Reports

• Numerical Solutions of Matrix Equations Arising in Model Reduction of Large-Scale Linear-Time-Invariant Systems - Ph.D. Thesis (CAAM Technical Report TR09-31, 2009)
• New Results in Numerically Solving Large-Scale Algebraic Sylvester Equations, with D.C. Sorensen -- in preparation
• A Parameter Free ADI-like Method for the Numerical Solution of Large Scale Lyapunov Equations, with D.C. Sorensen (CAAM Technical Report TR09-16, 2009)
• Passivity Preserving Model Reduction via Interpolation of Spectral Zeros: Selection Criteria and Implementation - Master's Thesis (CAAM Technical Report TR07-11, 2007)

Proceedings & Preprints

• A Survey of Model-Order-Reduction Methods for LTI Systems in Descriptor Form, with H.K. Thornquist - Computer Science Research Institute, Sandia National Laboratories (CSRI Summer Proceedings 2008 pp. 14-31)
• Preliminary Infrastructures for Integrating Model-Order Reduction Methods into Xyce, with H.K. Thornquist - Computer Science Research Institute, Sandia National Laboratories (CSRI Summer Proceedings 2007 pp. 26-36)
• Algorithms for the Carpool Problem, with J.B. Boavida, V. Kamat, D. Nakum, X. Zhang and C.W. Wu - IMA Mathematical Modeling in Industry X - 2006 (IMA Preprint Series # 2133-6)

Research Reports

• Numerical Study of Discrete Laplace-Beltrami - Caltech, SURF 2004
• Discrete Exterior Calculus and Its Implementation - Caltech, SURF 2003
• Computational Methods for Solutions of Neutron Scattering Problems Employing the Fermi Pseudopotential - Caltech, SURF 2002

Presentations

• Numerical Solutions of Matrix Equations Arising in Model Reduction of Large-Scale Linear-Time-Invariant Systems - Ph.D. Thesis Presentation, August 2009
• Numerical Solutions of Matrix Equations Arising in Model Order Reduction for Linear-Time-Invariant Systems in the Large-Scale Setting - 2009 Texas Applied Mathematics Meeting for Students, Austin, Texas
• Numerical Solutions of Matrix Equations Arising in Dimension Reduction for Linear-Time-Invariant Systems in the Large-Scale Setting - Computer Science Research Institute, Sandia National Laboratories, January 2009
• Model-Order Reduction: A Survey of Techniques for Descriptor Systems - CAAM Graduate Seminar, September 2008
• Model-Order Reduction: A Survey of Techniques for Descriptor Systems - Electrical and Microsystems Modeling Department, Sandia National Laboratories, July 2008
• Passivity Preserving Model Reduction via Interpolation of Spectral Zeros: Selection Criteria and Implementation - Master's Thesis Presentation, June 2007
• Algorithms for the Carpool Problem (Thanks to X. Zhang) - CAAM Graduate Seminar, October 2006
• Numerical Study of the Discrete Laplace-Beltrami - CAAM Graduate Seminar, October 2005
• Numerical Study of the Discrete Laplace-Beltrami - SIAM CSE 2005, Orlando, Florida
• Numerical Study of the Discrete Laplace-Beltrami - SCCUR 2004, Whittier, California