35 citations · 127 across the 19 of their papers we have counts for
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math.NA2022
High order asymptotic preserving well-balanced finite difference WENO schemes for all Mach full Euler equations with gravity
Guanlan Huang, Yulong Xing, Tao Xiong
In this paper, we propose a high order semi-implicit well-balanced finite difference scheme for all Mach Euler equations with a gravitational source term. To obtain the asymptotic…
math.NA2022★ 7 cited
Energy conserving and well-balanced discontinuous Galerkin methods for the Euler-Poisson equations in spherical symmetry
Weijie Zhang, Yulong Xing, Eirik Endeve
This paper presents high-order Runge-Kutta (RK) discontinuous Galerkin methods for the Euler-Poisson equations in spherical symmetry. The scheme can preserve a general polytropic e…
math.NA2022
Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise
Jiawei Sun, Chi-Wang Shu, Yulong Xing
In this paper we propose and analyze finite element discontinuous Galerkin methods for the one- and two-dimensional stochastic Maxwell equations with multiplicative noise. The disc…