Numerical methods for the nonlinear Schrodinger equation with low regularity potential and nonlinearity
数学专题报告
报告题目(Title)：Numerical methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
报告人(Speaker)：王楚善，新加坡国立大学
地点(Place)：后主楼1124
时间(Time)：9月11日（星期三），10:00am-11:00am
邀请人(Inviter)：蔡勇勇
报告摘要
We establish optimal error bounds on time-splitting methods and exponential wave integrators for the nonlinear Schrödinger equation (NLSE) with low regularity potential and nonlinearity, covering purely bounded potential and locally Lipschitz nonlinearity. New analysis techniques are introduced to establish error bounds on classical numerical methods under low regularity potential and nonlinearity. Also, novel accurate, efficient, and structure-preserving methods are developed.
