报告题目 (Title)：A Parallel-in-Time Algorithm for High-Order BDF Discretization for Diffusion and Subdiffusion Equations (扩散与亚扩散方程高阶向后差分格式的时间并行算法)

报告人 (Speaker)： 周知 助理教授（香港理工大学）

报告时间 (Time)：2022年9月7日(周三) 15:00-17:00

报告地点 (Place)：线上腾讯会议 （会议 ID：420 828 754）

邀请人(Inviter)：李常品、蔡敏

主办部门：理学院数学系

报告摘要：In this talk, I will present a parallel-in-time algorithm for approximately solving parabolic equations. We apply the k-step backward differentiation formula, and then develop an iterative solver by using the waveform relaxation technique. Each resulting iterate represents a periodic-like system, which could be further solved in parallel by using the diagonalization technique. The convergence of the waveform relaxation iteration is theoretically examined by using the generating function method. The argument could be further applied to the time-fractional subdiffusion equation, whose discretization shares common properties of the standard BDF methods, because of the nonlocality of the fractional differential operator. Some illustrative numerical results will be presented to complement the theoretical analysis.

报告人简介： 周知，香港理工大学应用数学系助理教授。于2015年毕业于美国德州农工大学(Texas A&M University)数学系，获博士学位。2015年-2017年任美国哥伦比亚大学应用物理与应用数学系博士后。研究方向主要包括微分方程的数值建模、模拟和分析。至今已在SIAM Journal on Numerical Analysis、SIAM Journal on Control and Optimization、Journal of Scientific Computing等国际知名期刊发表学术论文40余篇。