most citedSupplementary Variable Method for Developing Structure-Preserving Numerical Approximations to Thermodynamically Consistent Partial Differential Equations

5 citations · 9 across the 3 of their papers we have counts for

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math.NA2021★ 2 cited

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…

math.NA2020★ 5 cited

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…

math.NA2020

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…