Jue Yan

            Assistant Professor

 

484 Carver Hall

Iowa State University

Telephone: (515) 294-8166

Email: jyan@iastate.edu

Courses Teaching Fall 2009

 

Math 165 – Calculus I

Courses Teaching Spring 2010

 

Math 481 – Numerical Methods for Differential Equations I

 

Research Interests: cv

o       Numerical methods for evolution partial differential equations: discontinuous Galerkin finite element method, ENO/WENO finite difference method.

o       Nonlinear Phenomena: dispersive wave equations. Hamilton-Jacobi equations.

o       Applications: level set methods for interface capturing, dynamics of plasma-sheath transition, electromagnetic phenomena in various media.

 Grants: NSF grant DMS-0915247, $99,235.00, 2009-2012.

 

        

Selected Publications:

·        J. Yan and C.-W. Shu, A local discontinuous Galerkin method for KdV-type equations, SIAM J. Numer. Anal. 40 (2002), no. 2, 769—791.

·        D. Levy, C.-W. Shu and J. Yan, Local discontinuous Galerkin methods for nonlinear dispersive equations, J. Comput. Phys., 196, Issue 2(2004), 751-772.

·        H. Liu and J. Yan, A local discontinuous Galerkin method for the KdV equation with boundary effect, J. Comput. Phys.,  215, Issue 1(2006), Pages 197-218.

·        S. Osher and J. Yan, Discontinuous Galerkin level set method for interface capturing, UCLA report, 2005.

·        H. Liu and J. Yan, The direct discontinuous Galerkin (DDG) methods for diffusion problems, SIAM J. Numer. Anal. 47, Issue 1, 2009.

 

 

Last modified: Friday, August 17, 2007