- Constantin Bacuta, Associate Professor

Multilevel finite element theory with applications in incompressible flows and electromagnetism - Richard Braun, Professor

Nonlinear BVPs and free boundary problems in fluid mechanics and materials science - Tobin Driscoll, Professor

High-order and spectral methods for differential equations; radial basis functions; numerical conformal mapping - Philippe Guyenne, Associate Professor

Boundary Integral Methods, Spectral Methods, Applications to water waves and fluid mechanics - George C. Hsiao, Carl Rees Professor of Mathematics

Boundary Integral Equations, Finite Element Methods, Applications in elasticity - Peter Monk, UNIDEL Professor

Multiresolution analysis, Multiscale methods, Monte Carlo methods, Parallel computing - Yvonne Ou, Assistant Professor

Boundary Element Methods, Multi-wavelet Method - Petr Plechac, Professor

Viscoelastic fluids, Reacting flows, Flow stability

- Louis Rossi, Professor

Lagrangian methods and fluid dynamics - Franciso-Javier Sayas, Professor

Boundary Element Methods, Finite Element Methods, Discontinuous Galerkin Methods, Scattering problems - Shangyou Zhang, Associate Professor

Boundary Element Methods, Finite Element Method, Multigrid

Numerical Analysis and Scientific Computation is one of the largest and most active groups within the Department, with most of the major research areas represented. Our group is interested in a wide range of topics, from the study of fundamental, theoretical issues in numerical methods; to algorithm development; to the numerical solution of large-scale problems in fluid mechanics, solid mechanics, electromagnetism and materials science.

Students wishing to study numerical analysis or scientific computing usually enroll in the Applied Mathematics graduate program (see the Graduate Program web pages for more details). There are a number of courses specifically intended for students interested in this area as well as topics courses. For example:

- Math 806: Introduction to Numerical Analysis and Scientific Computation I
- Math 612: Computational Methods for Equation Solving and Function Min
- Math 838: Finite Element and Boundary Element Methods

Students in Applied Mathematics are also encouraged to take courses outside the department. Courses in engineering and computer science can build on the foundations offered above. Other courses in the Department of Mathematical Sciences of interest to students of Numerical Analysis and Scientific Computing include: