一、题目

Numerical integrators for disordered nonlinear Schrödinger equation

二、主讲人

赵晓飞

三、摘要

In this talk, we will present the numerical methods for integrating a cubic nonlinear Schrödinger equation with a spatial random potential. The model is known as the continuous disordered NLS. The presence of the random potential induces roughness to the equation and to the solution, which causes convergence order reduction for classical numerical methods. We shall introduce a low-regularity integrator, where we show how to integrate the potential term and the nonlinearity by losing two spatial derivatives. Numerical results will be presented to show the accuracy of LRI compared with classical methods under random/rough potentials from applications.

四、主讲人简介

赵晓飞，国家高层次青年人才，武汉大学数学与统计学院副教授，从事计算数学研究。2010年北师大本科毕业，2014年新加坡国立博士毕业，15-18在法国雷恩inria做博后，19年初加入武大。研究兴趣为色散和动力学类方程的数值离散和误差分析。

五、邀请人

王法磊

六、时间

12月12日（周六）10:00-11:00

七、地点

腾讯会议，会议ID：740 862 325

八、主办方

山东大学数学学院