2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.NA2020★ 2 cited
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…
math.NA2020
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…
math.NA2020
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…