Talks
Numerical PDE
Title: The runge–kutta discontinuous galerkin method with compact stencils for hyperbolic conservation laws
- Joint work with Prof. Zheng Sun and Prof. Yulong Xing. Presented it at Siam Central States Section 2022(Oklahoma University), Chinese University of Hong Kong, UW-madison and OSU.
- We develop a new type Runge-Kutta discontinuous Galerkin methods, which feature more compactness, less communication and easier boundary treatments
- Accepted for SIAM Journal on Scientific Computing. Arxiv: https://arxiv.org/abs/2307.06471. Slides
Title: The runge–kutta discontinuous galerkin method with stage-dependent spaces
- Joint work with Prof. Zheng Sun and Prof. Yulong Xing. Presented it at Midwest Numerical Analysis Day 2024.
- We develop novel Runge-Kutta discontinuous Galerkin methods to increase the stability region. They are are not based on the conventional method of lines, thus lead to a more profound understanding of temporal discretization.
- Submitted. Arxiv: https://arxiv.org/abs/2402.15150
Machine Learning for Scientific Computing
Title: FLOW MAP LEARNING OF STOCHASTIC DYNAMICAL SYSTEM THROUGH AUTOENCODER
Joint work with Zhongshu Xu, Yuan Chen and Prof. Dongbin Xiu. Presented it at the Chinese University of Hong Kong.
We construct the flow map through an autoencoder model to learn the SDE from data. Only data trajectories are needed to recover the governing SDE equation.
Submitted. Arxiv: https://arxiv.org/abs/2312.10001