Jue Yan

            Assistant Professor

 

484 Carver Hall

Iowa State University

Telephone: (515) 294-8166

Email: jyan@iastate.edu

Courses Teaching Fall 2008

 

Math 502 – Numerical Analysis I

 

Research Interests:

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.

       

        

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.

·       J. Yan and C.-W. Shu, Local discontinuous Galerkin methods for partial differential equations with higher order derivatives, J. Sci. Comput. 17 (2002), no. 1-4, 27—47.

·       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.

·       S. Osher and J. Yan, A new discontinuous Galerkin method for Hamilton-Jacobi Equations, preprint, 2006.

·       H. Liu and J. Yan, The direct discontinuous Galerkin (DDG) methods for diffusion problems, submitted (April), Mathematics of Computation, 2007.

 

 

Last modified: Friday, August 17, 2007