484 Carver Hall
Department of Mathematics
Telephone: (515) 294-8166
Research Interests: cv
Numerical methods for
convection diffusion equations: discontinuous Galerkin finite element method,
ENO/WENO finite difference and finite volume methods.
dispersive wave equations, Hamilton-Jacobi equations.
Level set methods for
interface capturing. High order methods for elliptic interface problems
preserving high order numerical methods (positivity preserving for compressible
Mathematical modeling for
bio-math, keller-Segel equations for chemotaxis
Science Foundation, DMS-1620335, single PI, Positivity preserving
limiter and new development on elliptic interface problems, $150,000,
Science Foundation, DMS-0915247, single PI, ’Local’ and ‘Direct’ discontinuous Galerkin
Methods: New Algorithms and Applications, $99,235, 2009-2012.