Jue Yan

Associate Professor

 

484 Carver Hall

Department of Mathematics

Iowa State University

Telephone: (515) 294-8166

Email: jyan@iastate.edu

 


Computational and Applied Math Seminar

 

Teaching for Fall 2014

Math 265: Calculus III (section F1)

Math 519: Methods for Applied Mathematics

 

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

 

Publications:

 

Our group:

 

 

 

Grants:

·        NSF Grant DMS-0915247, single PI, ’Local’ and ‘Direct’ discontinuous Galerkin Methods: New Algorithms and Applications, $99,235.00, 2009-2012.

·        NSF, DMS-1419000, single PI, PDE property preserving high order discontinuous Galerkin methods, $162,563, 2014-2017. (pending)