报告时间：2021年11月17日上午10:00

报告地点：Zoom网址：https://umassd.zoom.us/j/6339263022 密码：123456

报告题目：Epitaxial thin film growth model and its numerical simulation

报告人：马萨诸塞大学达特茅斯分校 Dr. Cheng Wang

邀请人：杨旭光

报告人简介：Dr. Cheng Wang is a professor in Department of  Mathematics at the University of Massachusetts Dartmouth  (UMassD). He obtained hid Ph.D degree from Temple University in 2000, under the supervision of  Prof. Jian-Guo Liu. Prior to joining UMassD in 2008 as an assistant professor, he was a Zorn postdoc at Indiana University from 2000 to 2003, under the supervision of Roger Temam and Shouhong Wang, and he worked as an assistant professor at University of Tennessee at Knoxville from 2003 to 2008. Dr. Wang’s research interests include development of stable, accurate numerical algorithms for partial differential equations and numerical analysis. He has published more than 90 papers with more than 4000 citations. He also serves in the Editorial Board of “Numerical Mathematics: Theory, Methods and Applications”.

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.