2 citations · 4 across the 7 of their papers we have counts for
7 papers
An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations
Shun Li, Yan Jiang, Mengping Zhang +1
In this paper, we develop an asymptotic-preserving (AP) dynamical low-rank semi-Lagrangian method for multiscale linear kinetic transport equations. The method combines the large-t…
A new type of simplified inverse Lax-Wendroff boundary treatment I: hyperbolic conservation laws
Shihao Liu, Tingting Li, Ziqiang Cheng +3
In this paper, we design a new kind of high order inverse Lax-Wendroff (ILW) boundary treatment for solving hyperbolic conservation laws with finite difference method on a Cartesia…
Sub-optimal convergence of discontinuous Galerkin methods with central fluxes for linear hyperbolic equations with even degree polynomial approximations
Yong Liu, Chi-Wang Shu, Mengping Zhang
In this paper, we theoretically and numerically verify that the discontinuous Galerkin (DG) methods with central fluxes for linear hyperbolic equations on non-uniform meshes have s…
A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations
Kaipeng Wang, Andrew Christlieb, Yan Jiang +1
In this paper, a class of high order numerical schemes is proposed to solve the nonlinear parabolic equations with variable coefficients. This method is based on our previous work…
Free-stream preserving finite difference schemes for ideal magnetohydrodynamics on curvilinear meshes
Yize Yu, Yan Jiang, Mengping Zhang
In this paper, a high order free-stream preserving finite difference weighted essentially non-oscillatory (WENO) scheme is developed for the ideal magnetohydrodynamic (MHD) equatio…
Superconvergence of ultra-weak discontinuous Galerkin methods for the linear Schrödinger equation in one dimension
Anqi Chen, Yingda Cheng, Yong Liu +1
We analyze the superconvergence properties of ultra-weak discontinuous Galerkin (UWDG) methods with various choices of flux parameters for one-dimensional linear Schrödinger equati…
Sparse Grid Central Discontinuous Galerkin Method for Linear Hyperbolic Systems in High Dimensions
Zhanjing Tao, Anqi Chen, Mengping Zhang +1
In this paper, we develop sparse grid central discontinuous Galerkin (CDG) scheme for linear hyperbolic systems with variable coefficients in high dimensions. The scheme combines t…