报告问题 (Title)：Analysis of IMEX and Time-Splitting Schemes for the Logarithmic Schrodinger Equation (对数薛定谔方程的隐式-显式和时间破碎名堂剖析)

报告人 (Speaker)：王立联 教授（新加坡南洋理工大学）

报告时间 (Time)：2023年5月18日(周四) 14：00-15：00

报告所在 (Place)：校本部 D106

约请人(Inviter)：李常品、蔡敏

主理部分：理学院数学系

报告摘要：The Schrodinger equation with a logarithmic nonlinear term (LogSE): f(u)=u log(|u|^2) exhibits many distinct features and rich dynamics that make it unique among nonlinear wave equations. However, such a nonlinearity presents significant challenges in both numerical solutions and analysis. Compared with usual cubic case, the nonlinear term f(u) is non-differentiable at u=0 but only possesses certain Holder continuity. In this talk, we shall report our recent attempts in numerical study of the LogSE with a focus on time discretization via implicit-explicit scheme and time-splitting scheme and on the introduction of new tools for the error analysis. This talk is based on joint works with Jingye Yan (Jiangsu University) and Xiaolong Zhang (Hunan Normal University).