35 citations · 127 across the 19 of their papers we have counts for
6 papers · 2 filters
Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise
Jiawei Sun, Chi-Wang Shu, Yulong Xing
One- and multi-dimensional stochastic Maxwell equations with additive noise are considered in this paper. It is known that such system can be written in the multi-symplectic struct…
Local discontinuous Galerkin methods for the abcd nonlinear Boussinesq system
Jiawei Sun, Shusen Xie, Yulong Xing
Boussinesq type equations have been widely studied to model the surface water wave. In this paper, we consider the abcd Boussinesq system which is a family of Boussinesq type equat…
High order well-balanced asymptotic preserving finite difference WENO schemes for the shallow water equations in all Froude numbers
Guanlan Huang, Yulong Xing, Tao Xiong
In this paper, high order semi-implicit well-balanced and asymptotic preserving finite difference WENO schemes are proposed for the shallow water equations with a non-flat bottom t…
Finite Element Approximations of a Class of Nonlinear Stochastic Wave Equation with Multiplicative Noise
Yukun Li, Shuonan Wu, Yulong Xing
Wave propagation problems have many applications in physics and engineering, and the stochastic effects are important in accurately modeling them due to the uncertainty of the medi…
High order finite difference Hermite WENO fixed-point fast sweeping method for static Hamilton-Jacobi equations
Yupeng Ren, Yulong Xing, Jianxian Qiu
In this paper, we combine the nonlinear HWENO reconstruction in \cite{newhwenozq} and the fixed-point iteration with Gauss-Seidel fast sweeping strategy, to solve the static Hamilt…
High order asymptotic preserving Hermite WENO fast sweeping method for the steady-state transport equation
Yupeng Ren, Yulong Xing, Dean Wang +1
In this paper, we propose to combine the fifth order Hermite weighted essentially non-oscillatory (HWENO) scheme and fast sweeping method (FSM) for the solution of the steady-state…