80 citations · 108 across the 12 of their papers we have counts for
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math.NA2019★ 11 cited
On structure-preserving discontinuous Galerkin methods for Hamiltonian partial differential equations: Energy conservation and multi-symplecticity
Zheng Sun, Yulong Xing
In this paper, we present and study discontinuous Galerkin (DG) methods for one-dimensional multi-symplectic Hamiltonian partial differential equations. We particularly focus on se…
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★ 1 cited
Low-memory, discrete ordinates, discontinuous Galerkin methods for radiative transport
Zheng Sun, Cory D. Hauck
The discrete ordinates discontinuous Galerkin (-DG) method is a well-established and practical approach for solving the radiative transport equation. In this paper, we study a…