Scientific Computing and Numerical Analysis Group
The Scientific Computing and Numerical Analysis group has its particular strength in the analysis and application of high order numerical methods including spectral and spectral element methods, discontinuous Galerkin finite element methods, ENO and WENO finite difference and finite volume methods, compact and other high-order finite difference methods. New interests include theory and algorithms for stochastic and fractional partial differential equations, as well as multiscale modeling.
The applications of these methods span a wide range of topics in conservation laws, uncertainty quantification, as well as fluid and solid mechanics. Specific areas include high speed flows, complex fluids, soft matter, flow structure interactions, and semi conductior device simulations. More recent interests have developed into the areas of astrophysics, rheology, and computational biology.