报告人：沈捷 教授 东方理工大学
报告时间：2024年9月24日16:00-17：00
报告地点：红瓦楼726
报告内容简介：Incompressible Navier-stokes equations (NSEs) and their numerical approximations play an important role in many fields of science and engineering. In particular, The NSEs can be coupled with other nonlinear equations, such as Cahn-Hillard, Maxwell, Keller-Segel equations etc, to model various complex phenomenas in fluid mechanics and materials science.
However, how to construct stable higher-order fully decoupled schemes for the NSEs has been a long standing open problem. In this lecture, we shall discuss the main difficulties and review existing approaches in designing higher-order decoupled schemes for NSEs, and present our recent work on a new class of stiffly stable IMEX schemes and apply them to construct unconditionally stable higher-order fully decoupled schemes for the NSEs.
We shall also discuss how to extend our results for NSEs to construct higher-order fully decoupled schemes for complex nonlinear systems involving NSEs.
报告人简介：Professor Jie Shen currently serves as Chair Professor and Dean of the School of Mathematical Science at Eastern Institute of Technology, Ningbo. He earned a B.S. in Computational Mathematics from Peking University in 1982 and received his Ph.D. in Numerical Analysis from Université de Paris-Sud (now Paris Saclay) in Orsay in 1987. Before his appointment at Purdue University in Fall 2002, he held professorships at Penn State University and the University of Central Florida. Since February 2012, he has served as Director of the Center for Computational and Applied Mathematics at Purdue University and was awarded the title of Distinguished Professor in 2023. His research focuses on numerical analysis, applied mathematics, and scientific computing. In 2008, he received the Fulbright Award, and in 2013, he was honored with the Inaugural Research Award from the College of Science at Purdue University. He is a Fellow of both the American Mathematical Society (AMS) and the Society for Industrial and Applied Mathematics (SIAM). According to the Research.com ranking published in January 2022, he is ranked 170th among the top mathematical scientists globally. Furthermore, the October 2022 Stanford Ratings of the World’s Top Scientists placed him 4th for single-year impact (2021) and 9th for career impact in numerical and computational mathematics. Professor Shen serves on the editorial boards of several leading international research journals and has authored or co-authored over 250 peer-reviewed articles and three books, which have collectively garnered nearly 28,000 citations on Google Scholar.
报告邀请人：盛长滔