Speaker: Dr. Zhi Zhou（周知博士）

Time:10:30-11:30, 13 April 2023 (Thursday) (Beijing time)

Venue: A103,Lijiao Building

Tencent Meeting ID: 664-122-067

Abstract

The focus of this talk is on the numerical methods used to identify parameters in partial differential equations. Typically, an optimization approach is used to solve this class of inverse problems, which is then discretized using finite difference method, finite element methods, or deep neural networks for practical purposes. Then one critical issue is to establish a priori error estimates for the numerically reconstructed parameter. In this talk, the speaker will discuss their recent study on the deep neural network approximation for parameter identification problems by effectively utilizing relevant stability results.

About Dr. Zhou

Zhi Zhou is an Assistant Professor at the Department of Applied Mathematics, Hong Kong Polytechnic University. He received his B.Sc in computational mathematics in 2010 from Nanjing University of Aeronautics and Astronautics, and the Ph.D. degree in mathematics from Texas A&M University. During 2015-2017, he was a postdoctorial scientist at the Department of Applied Physics and Applied Mathematics, Columbia University. His research interests lie primarily in the fields of numerical PDEs, scientific computing, nonlocal/fractional models, and inverse problems.