Visit ShanghaiTech University | 中文 | How to find us
HOME > News and Events > Events
Analysis and Application of Stochastic Collocation Method for Maxwell’s Equations with Random Inputs
Date: 2018/7/3             Browse: 19

Speaker:     Prof. Jichun Li. UNLV

Time:          10:15—11:15, July 3  

Location:    Room 1A-200, SIST Building

Host:          Prof. Qifeng Liao

Abstract:

In this talk, I will present the development and analysis of the stochastic collocation method for solving the time-dependent Maxwell's equations with random coefficients and random initial conditions. We provide a rigorous regularity analysis of the solution with respect to the random variables. To our best knowledge, this is the first theoretical results derived for the stochastic Maxwell's equations. The rate of convergence is proved depending on the regularity of the solution. Numerical results are presented to confirm the theoretical analysis. Extensions of this analysis and applications to Maxwell's equations in random Drude metamaterials will be discussed too. 

Bio: 

Education

Ph.D., Applied Mathematics, Florida State University, August, 1998 M.S., Computational Mathematics, Nanjing University, China, June, 1990 B.S., Computational Mathematics, Nanjing University, China, August, 1987

Academic Positions

2000 - present, Assistant/Associate/Full Professor, Dept. of Mathematical Sciences, University of Nevada Las Vegas

2008 - 2009, Associate Director, Institute for Pure and Applied Mathematics (IPAM) at UCLA

2003 - 2006, Summer Faculty Researcher, U.S. Air Force Research Laboratory

1998 - 2000, Postdoc Fellow, University of Texas at Austin.

SIST-Seminar 18050