报告题目: High-order time-stepping schemes for the time-fractional diffusion equation

报 告 人：周知博士,香港理工大学

报告时间：2018年1月22日（周一）下午3:00

报告地点：行健楼学术活动室526

邀 请 人：汪艳秋教授

Abstract:The time-fractional diffusion, which has received much attention in recent years, describes a diffusion process in which the mean square displacement of a particle grows slower (subdiffusion) than that in the normal diffusion process. The solution of the fractional diffusion often exhibits a singular layer, provided that the source data is not compatible with the initial data, which makes the numerical treatment and analysis challenging. We develop a systematic strategy to the starting k-1 steps in order to restore the desired kth-order convergence rate of the k-step BDF convolution quadrature for the time-fractional equations. The desired kth-order convergence rate can be achieved even if the solution is nonsmooth. Extensive numerical experiments will be presented to show the accuracy of the corrected schemes.

Bibliography: Dr. Zhi Zhou is an assistant professor in the Department of Applied Mathematics at The Hong Kong Polytechnic University. He obtained his Bachelor degree from Nanjing University of Aeronautics and Astronautics in 2010 and Ph.D. from Texas A&M University in 2015. Before joining HK Polytechnic University, he was a postdoc at Columbia University. His research mainly lies in the area of numerical modeling, simulation and analysis.