Speaker: Prof. Xavier Antoine（Université de Lorraine, France）

Chair Person: Prof. Shaoqiang Tang

Date: July 22, 2016, 14:00

Place: Room 40222, Building No.4, Zhongguanxinyuan of PKU

Report Introduction:

In this talk, I will discuss some constructions of artificial boundary conditions for 1D-2D linear/nonlinear Schrödinger equations by using the techniques of pseudodifferential operator calculus. The numerical discretization of these boundary conditions will also be explained and simulations will show how they perform.

About Speaker:
　　The research topics of Professor Xavier ANTOINE are related to the mathematical and numerical analysis as well as scientific computation for linear and nonlinear wave problems. Most particularly, he actively works on problems related to the numerical solution of Helmholtz’s and Maxwell’s equations in the high frequency regime and the accurate and efficient numerical computation of solutions to nonlinear Schrödinger equations. He is also the chair of the Institut Elie Cartan de Lorraine, Université de Lorraine, which is one of the largest mathematics research department in France.