主講人：王立聯(lián) 新加坡南洋理工大學(xué)教授

時(shí)間：2023年5月17日19：00

地點(diǎn)：三號(hào)樓301室

舉辦單位：數(shù)理學(xué)院

主講人介紹：王立聯(lián)，新加坡南洋理工大學(xué)教授，博士生導(dǎo)師。主要研究領(lǐng)域?yàn)榻馄⒎址匠虜?shù)值解，電磁學(xué)中的高性能計(jì)算方法等。在SIAM J. Numer. Anal., SIAM J. Appl. Math., SIAM J. Sci. Comput., Math. Comp.等國(guó)際知名計(jì)算數(shù)學(xué)期刊上發(fā)表論文100余篇，由Springer出版合著《SPECTRAL METHODS: Algorithms, Analysis and Applications》。

內(nèi)容介紹：The Schrodinger’s 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.