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Machine learning theory and application
Symmetry group of PDE and application in numerics (part II)
Symmetry group of PDE and application in numerics (part II)
Organizer
Speaker
Time
Thursday, September 28, 2023 2:00 PM - 3:30 PM
Venue
A3-4-312
Online
Zoom 787 662 9899
(BIMSA)
Abstract
In the last talk, we introduced some basic concepts of symmetry group which is used to describe the symmetry of sets or differential equation. In this talk, we will continue to present the application of finding invariant solution and linearization.
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.