Matthias Heinkenschloss. Professor. Ph.D. (1991) University of Trier, Germany.
Dr. Heinkenschloss's primary research interests are the development and analysis of optimization methods for the solution of optimal control, optimal design, and parameter identification problems governed by partial differential equations (PDEs). In these problems, one tries to compute inputs of a given system modeled by PDEs so that the corresponding outputs, the solution of the PDE, have certain desirable features. Among the many examples of such problems are the control of heating processes in industrial furnaces and airfoil design. The solution of these problems require techniques from nonlinear optimization and numerical methods for differential equations.
Illya V. Hicks. Associate Professor. Ph.D. (2000) Rice University.
Dr. Hick's research interests are in combinatorial optimization, graph theory and integer programming. Some applications of interest are social networks, cancer treatment and network design. His current research is focused on using graph decompositions to solve NP-complete problems. He also teaches courses related to discrete optimization.
Richard A. Tapia. University Professor. Ph.D. (1967) University of California at Los Angeles.
Dr. Tapia's research is in numerical analysis and optimization theory. His current interests include interior-point methods for linear and nonlinear programming. He has authored numerous papers and coauthored two books. He serves as an advisor to many national organizations and programs in the areas of minority educational and minority involvement in science and engineering. He also is the director of Rice's Center for Excellence and Equity in Education. Professor Tapia is a member of the National Academy of Engineering.
Yin Zhang. Professor. Ph.D. (1987) State University of New York, Stony Brook.
Dr. Zhang's research interests are in the design, analysis, and implementation of computer algorithms for solving practical optimization problems. His recent research includes interior-point algorithms for linear, nonlinear, and semidefinite programming. He authored the software packages LIPSOL for solving large-scale linear programs by interior-point algorithms under the MATLAB environment, which has become MATLAB's official linear program solver. Dr. Zhang's recent activities include solving global and discrete optimization problems.