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.
