Low Rank Time Integrators for Solving Time-Dependent PDEs

：邱竞梅（美国特拉华大学）
：2023-12-21 16:00
：海韵园数理大楼686会议室

报告人：邱竞梅（美国特拉华大学）

时  间：2023年12月21日16:00

地  点：海韵园数理大楼686会议室

内容摘要:

I will provide overview of low rank time integrators for time dependent PDEs. These include an explicit scheme that involve a time stepping followed by a SVD truncation procedure with application to the Vlasov equations; two implicit schemes: Reduced Augmentation Implicit Low rank (RAIL) scheme and a Krylov subspace low rank scheme with applications to the heat equation and the Fokker-Planck equation; as well as implicit-explicit low rank integrators for advection-diffusion equations.

个人简介：

Prof. Jingmei Qiu is a Professor in the Department of Mathematical Sciences at the University of Delaware. She received her Ph.D. in Applied Mathematics from Brown University in 2007. Prior to that, she earned a Bachelor's degree from the University of Science and Technology of China in 2003. Prof. Qiu's recent research focuses on the design, analysis, and application of high-order structure-preserving computational algorithms for complex systems with multi-scale and multi-physics features, as well as high-dimensional nature. One of the methodologies that her research group has been working on is the low rank tensor approximation for high-dimensional problems while ensuring structure preservation.  Additionally, Prof. Qiu's group has been developing Eulerian-Lagrangian high-order numerical methods specifically designed for fluid and kinetic applications. She has published more than 60 articles in top-ranked international journals, including Math. Comput., SIAM J. Numer. Anal., SIAM J. Sci. Comput., J. Comput. Phys., etc.

 

联系人：赵状