8 citations · 10 across the 4 of their papers we have counts for
5 papers
On Energy Laws and Stability of Runge--Kutta Methods for Linear Seminegative Problems
Zheng Sun, Yuanzhe Wei, Kailiang Wu
This paper presents a systematic theoretical framework to derive the energy identities of general implicit and explicit Runge--Kutta (RK) methods for linear seminegative systems. I…
Error analysis of Runge--Kutta discontinuous Galerkin methods for linear time-dependent partial differential equations
Zheng Sun, Chi-Wang Shu
In this paper, we present error estimates of fully discrete Runge--Kutta discontinuous Galerkin (DG) schemes for linear time-dependent partial differential equations. The analysis…
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…
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…
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…