Numerical Methods
and Scientific Computing: researching high order numerical
methods
for PDEs, including weighted ENO finite volume / finite difference
methods, discontinuous Galerkin (DG) finite element methods, large time
step schemes (e.g., implicit integration factor schemes and their high
dimensional implementation, and other exponential integrators), fast
and robust iterative methods (e.g., fast sweeping methods for steady state problems, homotopy
methods, etc), and high accuracy numerical methods on unstructured meshes for complex
domain geometries, etc.