報(bào)告題目:Epitaxial thin film growth model and its numerical simulation
主講人:王成教授 (美國麻省大學(xué))
時(shí)間:2021年4月13日(周二)10:00 a.m.
形式:線上講座
主辦單位:統(tǒng)計(jì)與數(shù)學(xué)學(xué)院
摘要:A nonlinear PDE model of thin film growth model, with or without slope selection, are presented in the talk. A global in time solution with Gevrey regularity is established for the one with slope selection. For the numerical simulation, an idea of convex-concave splitting of the corresponding physical energy is applied, which gives to an implicit treatment for the convex part and an explicit treatment for the concave part. That in turn leads to a numerical scheme with a non-increasing energy. A first order accurate linear splitting and a second order accurate linear iteration algorithm are also considered, with some numerical simulation results presented.
主講人簡介:
王成,1993年畢業(yè)于中國科技大學(xué)獲數(shù)學(xué)學(xué)士學(xué)位,,2000年在美國坦普爾大學(xué)獲得博士學(xué)位,,。2000-2003年在美國印尼安納大學(xué)做博士后,2003-2008年在美國田納西大學(xué)任助理教授,,2008-2012年在美國麻省大學(xué)達(dá)特茅斯分校任助理教授,,2012年晉升為副教授,2019年晉升為教授,。主要研究領(lǐng)域是應(yīng)用數(shù)學(xué),,包括數(shù)值分析、偏微分方程,、流體力學(xué),、計(jì)算電磁學(xué)等。在Journal of Computational Physics,,SIAM Journal on Numerical Analysis,,IMA Journal of Numerical Analysis等期刊上發(fā)表論文100余篇。目前擔(dān)任SCI雜志 “Numerical Mathematics: Theory, Methods and Applications”的編委.