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
  • We develop a new type Runge-Kutta discontinuous Galerkin methods, which feature more compactness, less communication and easier boundary treatments
  • SIAM Journal on Scientific Computing 46 (2), A1327-A1351. 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.
  • Minor revisions for Journal of Computational Physics. 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.
  • 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.
  • In press for Journal of Machine Learning for Modeling and Computing. Arxiv: https://arxiv.org/abs/2312.10001