Speaker: Jie Shen, Eastern Institute of Technology, Ningbo
Title: "Efficient and accurate structure preserving schemes for complex nonlinear systems"
Abstract:
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.
Bio:
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. Before joining Eastern Institute of Technology, Ningbo in May 2023, he was a Distinguished Professor of Mathematics at Purdue University. He is an elected Fellow of AMS, SIAM and CSIAM.
His main research interests are numerical analysis, spectral methods and scientific computing, with applications in computational fluid dynamics and materials science. He has authored/coauthored over 280 peer-reviewed research articles and three books with over 30,000 citations in Google Scholar.
In person attendance at this seminar is only open to Columbia University affiliates. External guests are welcome to attend remotely. Please contact [email protected] if you need the Zoom link for this seminar.
