Jue Yan

*Associate Professor*

* *

*484 Carver Hall*

*Department of Mathematics*

*Iowa* *State
University*

*Telephone: (515) 294-8166*

*Email:*__ jyan@iastate.edu__

## Teaching:

## Research Interests: cv

## ·
Numerical methods for
convection diffusion equations: discontinuous Galerkin
finite element method, ENO/WENO finite difference method.

## ·
Nonlinear Phenomena:
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
infectious diseases

##

##

## Grants:

·
National
Science Foundation, DMS-1620335, **single PI**, *Positivity preserving
limiter and new development on elliptic interface problems, *$150,000,
2016-2019.

·
National
Science Foundation, DMS-0915247, **single PI,** *’Local’ and ‘Direct’ discontinuous Galerkin Methods: New Algorithms and Applications*,
$99,235, 2009-2012.