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Lecture on "Uniformly Accurate Method for Highly Oscillatory Klein-Gordon Equation and Related Models"
Date and Time: 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


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.


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.

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Edited by: Wei Zhen

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