讲座主题：Global in time numerical stability for nonlinear PDE
专家姓名：王成
工作单位：马萨诸塞凯旋官网达特茅斯分校
讲座时间：2026年05月09日 08:30-10:30
讲座地点：腾讯会议：997-3729-8825
主办单位：烟台凯旋官网数学与信息科学学院
内容摘要：
Uniform in time numerical stability for ertain nonlinear PDEs, such as incompressible fluid flow and a few bi-stable gradient flow models, are presented in this talk. For 2-D incompressible Navier-Stokes equation, a globalbound in L^2 and H^m norms for the numerical solution is obtained. For the bi-stable gradient flows, such asthe epitaxial thin film growth with slope selection, the convexity splitting nature of the numerical schemeassures its non-increasing energy. Some long time numerical simulations will also be presented.
主讲人介绍：
Dr. Cheng Wang is a professor in Department of Mathematics at the University of Massachusetts Dartmouth (UMassD). He obtained his 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 140 papers with more than 9000 citations. He also serves in the Editorial Board of “Numerical Mathematics: Theory, Methods and Applications”.
