报告时间：2024年11月27日 15:00开始
报 告 人：沈捷
报告地点：9-113
报告题目：Structure preserving schemes for complex nonlinear systems
报告摘要：Many complex nonlinear systems have intrinsic structures such as energy dissipation or conservation, and/or positivity/maximum principle preserving. It is desirable, sometimes necessary, to preserve these structures in a numerical scheme.
I will present some recent advances on using the scalar auxiliary variable (SAV) approach and Lagrange multiplier approach to develop highly efficient and accurate structure preserving schemes for a large class of complex nonlinear systems. These schemes can preserve energy dissipation/conservation as well as other global constraints and/or are positivity/bound preserving, only require solving decoupled linear equations with constant coefficients at each time step, and can achieve higher-order accuracy.
报告人简介：Professor Jie Shen, received his B.S. in Computational Mathematics from Peking University in 1982, and his Ph.D in Numerical Analysis from Universite de Paris-Sud (currently Paris Saclay) at Orsay in 1987. He worked at Indiana University (1987-1991), Penn State University (1991-2001), University of Central Florida (2001-2002) and Purdue University (2002-2023). He served as the Director of Center for Computational and Applied Mathematics at Purdue University from 2012 to 2022, and was ratified as Distinguished Professor of Mathematics at Purdue University in 2023. In May 2023, he joined Eastern Institute of Technology, Ningbo, China, as a Chair Professor and Dean of School of Mathematical Science. He is a recipient of the Fulbright “Research Chair” Award in 2008 and the Inaugural Research Award of the College of Science at Purdue University in 2013, and an elected Fellow of AMS, SIAM and CSIAM.
