Mathematics plays a central role in the design of efficient and reliable algorithms which, together with powerful high performance computers, are responsible for the success of the new approach to science and engineering through computational modeling and simulation.
Members of the research group in scientific computing/numerical analysis share a common interest in numerical methods for partial differential equations, one of the main modeling tools in science and engineering. Their research ranges from the design and analysis of numerical schemes to iterative methods for the discretized problems and their parallel implementations, with applications to mechanics (fluid and solid), electromagnetics, optimal design, image processing and digital geometry processing.
|Blaise Bourdin||Mathematics of materials science, scientific computing, optimal design|
|Susanne C. Brenner||Numerical analysis, finite element methods, multigrid methods, domain decompostion methods|
|Li-yeng Sung||Partial differential equations, inverse scattering, numerical analysis.|
|Shawn Walker||Finite element methods, free boundary problems, PDE-constrained (shape) optimization.|
|Xiaoliang Wan||Stochastic modeling, numerical methods for stochastic PDEs, minimum action method.|
|Hongchao Zhang||Nonlinear optimization and its applications, numerical analysis, numerical linear algebra.|
|Andrew Barker||Numerical Analysis.|
|Michael Neilan||Numerical analysis, finite element methods, fully nonlinear PDEs, optimal transport.|
|Eun-Hee Park||Numerical analysis, domain decomposition methods, parallel computing, and numerical methods for PDEs.|
Undergraduate Students Publications of the group members Copies (in pdf format) of the papers whose titles are highlighted may be obtained by clicking on the relevant titles. Preprints 2006 Recent Grant Support