1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.NA2024★ 1 cited
The Runge--Kutta discontinuous Galerkin method with stage-dependent polynomial spaces for hyperbolic conservation laws
Qifan Chen, Zheng Sun, Yulong Xing
In this paper, we present a novel class of high-order Runge--Kutta (RK) discontinuous Galerkin (DG) schemes for hyperbolic conservation laws. The new method extends beyond the trad…
cs.LG2023
Modeling Unknown Stochastic Dynamical System via Autoencoder
Zhongshu Xu, Yuan Chen, Qifan Chen +1
We present a numerical method to learn an accurate predictive model for an unknown stochastic dynamical system from its trajectory data. The method seeks to approximate the unknown…
math.NA2023
The Runge--Kutta discontinuous Galerkin method with compact stencils for hyperbolic conservation laws
Qifan Chen, Zheng Sun, Yulong Xing
In this paper, we develop a new type of Runge--Kutta (RK) discontinuous Galerkin (DG) method for solving hyperbolic conservation laws. Compared with the original RKDG method, the n…