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Lecture on "Uniformly Accurate Method for Highly Oscillatory Klein-Gordon Equation and Related Models"
DateandTime: 2019-12-13 11:19:16

Speaker:Xiaofei Zhao, Professor, Department of Information and Computational Sciences, Wuhan University

Date:December 13, 2019

Time:4:00-5:00 pm

Location:1238 Lecture Hall, Block B, Zhixin Building, Central Campus

Sponsor:Zhongtai Securities Institute for Financial Studies

Abstract:

In this talk, I will present the numerical methods for solving the nonlinear Klein-Gordon equation and some related models in the highly oscillatory regime. I will start with my work for the nonlinear Klein-Gordon equation in the non-relativistic limit regime, and introduce the uniformly accurate (UA) method. The UA method can allow step size independent of the small parameter. Then I will present my recent work of designing such UA scheme for the Klein-Gordon-Zakharov system in a double limit regime, which is an important model in plasma physics involving two independent small parameters.

Bio:

Prof. Zhao completed his Ph.D. from National University of Singapore in 2014. He is associate professor of School of Mathematics and Statistics at Wuhan University. His/Her main research interests include numerical methods for PDEs and computational physics. He has published more than twenty academic papers in top journals.

For more information, please visit:

http://mathfinance.sdu.edu.cn/info/1273/4212.htm

Edited by: Wei Zhen




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