6 citations · 17 across the 4 of their papers we have counts for
12 papers
A novel class of energy-preserving Runge-Kutta methods for the Korteweg-de Vries equation
Yue Chen, Yuezheng Gong, Qi Hong +1
In this paper, we present a quadratic auxiliary variable approach to develop a new class of energy-preserving Runge-Kutta methods for the Korteweg-de Vries equation. The quadratic…
An explicit and practically invariants-preserving method for conservative systems
Wenjun Cai, Yuezheng Gong, Yushun Wang
An explicit numerical strategy that practically preserves invariants is derived for conservative systems by combining an explicit high-order Runge-Kutta (RK) scheme with a simple m…
Supplementary Variable Method for Developing Structure-Preserving Numerical Approximations to Thermodynamically Consistent Partial Differential Equations
Yuezheng Gong, Qi Hong, Qi Wang
We present a new temporal discretization paradigm for developing energy-production-rate preserving numerical approximations to thermodynamically consistent partial differential equ…
Efficient energy-preserving numerical approximations for the sine-Gordon equation with Neumann boundary conditions
Qi Hong, Yushun Wang, Yuezheng Gong
We present two novel classes of fully discrete energy-preserving algorithms for the sine-Gordon equation subject to Neumann boundary conditions. The cosine pseudo-spectral method i…
Explicit high-order energy-preserving methods for general Hamiltonian partial differential equations
Chaolong Jiang, Yushun Wang, Yuezheng Gong
A novel class of explicit high-order energy-preserving methods are proposed for general Hamiltonian partial differential equations with non-canonical structure matrix. When the ene…
Arbitrarily High-order Linear Schemes for Gradient Flow Models
Yuezheng Gong, Jia Zhao, Qi Wang
We present a paradigm for developing arbitrarily high order, linear, unconditionally energy stable numerical algorithms for gradient flow models. We apply the energy quadratization…