澳门永利赌场开业-澳门永利赌场博彩的玩法技巧和规则-大发888游戏平台hg dafa888gw

Numerical Study of Some Logarithmic Nonlinear PDEs

發(fā)布者:文明辦發(fā)布時(shí)間:2021-12-21瀏覽次數(shù):806

  

主講人:王立聯(lián)  新加坡南洋理工大學(xué)教授

  

時(shí)間:2021年12月24日10:00

  

地點(diǎn):騰訊會(huì)議 776 544 183

  

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,并且由Springer出版合著《SPECTRAL METHODS: Algorithms,  Analysis and Applications》。

  

內(nèi)容介紹:The presence of logarithmic nonlinear term of the form f(u)=u log(|u|) in  parabolic PDEs or Schrodinger’s equations brings about significant challenges in  both numerical discretization and analysis. The nonlinear term is  non-differentiable but Holder continuous at u=0, and the underlying energy does  not have a definite sign. Such PDEs exhibit interesting dynamics that may not  possess for general PDEs with smooth nonlinear terms. In this talk, we shall  present our recent attempts for such problems and introduce some new tools for  the analysis.