84 citations · 684 across the 49 of their papers we have counts for
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math.NA2019★ 8 cited
Enforcing strong stability of explicit Runge--Kutta methods with superviscosity
Zheng Sun, Chi-Wang Shu
A time discretization method is called strongly stable, if the norm of its numerical solution is nonincreasing. It is known that, even for linear semi-negative problems, many expli…
math.NA2019★ 29 cited
Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical Schemes for Relativistic MHD Equations
Kailiang Wu, Chi-Wang Shu
This paper presents entropy symmetrization and high-order accurate entropy stable schemes for the relativistic magnetohydrodynamic (RMHD) equations. It is shown that the conservati…
math.NA2019★ 2 cited
Local discontinuous Galerkin methods with explicit-implicit-null time discretizations for solving nonlinear diffusion problems
Haijin Wang, Qiang Zhang, Shiping Wang +1
In this paper we discuss the local discontinuous Galerkin methods coupled with two specific explicit-implicit-null time discretizations for solving one-dimensional nonlinear diffus…