应用数学青年讨论班（午餐会）—— Uniform accuracy of implicit-explicit backward differentiation formulas (IMEX-BDF) for linear hyperbolic relaxation systems
报告人：马志婷（北京雁栖湖应用数学研究院）
时间：2024-05-30 11:45-13:30
地点：智华楼四元厅
摘要：
This work is concerned with the uniform accuracy of implicit-explicit backward differentiation formulas for general linear hyperbolic relaxation systems satisfying the structural stability condition proposed previously by the third author. We prove the uniform stability and accuracy of a class of IMEX-BDF schemes discretized spatially by a Fourier spectral method. The result reveals that the accuracy of the fully discretized schemes is independent of the relaxation time in all regimes. It is verified by numerical experiments on several applications to traffic flows, rarefied gas dynamics and kinetic theory.
报告人简介：
Zhiting Ma obtained the B.S. degree from Lanzhou University in 2015 and Ph.D. degree from Department of Mathematical Sciences at Tsinghua University in 2021. Then, she worked as a postdoc at School of Mathematical Sciences, Peking University. Currently, she is an Assistant Professor in Beijing Institute of Mathematical Sciences and Applications (BIMSA).
报名问卷：
我们提供午餐（报告时间12:30-13:30，午餐从11:45开始提供），需要预定午餐的老师同学请填报名问卷，周三晚上6点截止 https://www.wjx.top/vm/OdQAoJw.aspx#
