BIMSA > Seminar on Control Theory and Nonlinear Filtering Numerical Green function of Schrodinger equation with polynomial potential
Numerical Green function of Schrodinger equation with polynomial potential
Organizer
Shing Toung Yau
Speaker
Xiao Pei Jiao
Time
Monday, April 3, 2023 3:00 PM - 3:30 PM
Venue
Online
Abstract
Schrodinger equation appearing in the nonlinear filtering is important to state estimate. In this talk, we proceed with asymptotic solution and show numerical experiments for fundamental solution and nonlinear filtering.
Speaker Intro
Xiaopei Jiao received his bachelor's degree from the Zhiyuan College of Shanghai Jiao Tong University and his Ph.D. from the Department of Mathematical Sciences at Tsinghua University. He subsequently worked as a postdoctoral researcher at the Beijing Institute of Mathematical Sciences and Applications (BIMSA) and at the University of Twente in the Netherlands. His current research interests include finite-dimensional filtering theory, Yau-Yau filtering methods, physics-informed neural networks, and bioinformatics. His research focuses primarily on: (1) using geometric tools such as Lie algebras for solving partial differential equations and classifying nonlinear systems; (2) designing novel numerical algorithms based on physics-informed neural networks.