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 method.
dispersive wave equations, Hamilton-Jacobi equations.
Level set methods for
interface capturing, dynamics of plasma-sheath transition, electromagnetic
phenomena in various media.
Physical property preserving
high order numerical methods (positivity preserving of the density and pressure
profile of compressible Navier-Stokes equations)
Mathematical modeling on
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,