讲座题目：Epitaxial thin film growth model and its numerical simulation

主 讲 人：王成教授

讲座时间：2022年1月10日上午10:00

讲座地点：腾讯会议553110880

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讲座内容简介：

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.

主讲人简介：

王成教授，主要研究领域为应用数学和科学计算，包括偏微分方程数值方法的设计和分析。至今已在SIAM Journal on Numerical analysis，SIAM Journal on Scientific Computing，Mathematics of Computation等国际著名数学期刊上接受发表120余篇论文。