6 citations · 17 across the 5 of their papers we have counts for
4 papers · 1 filter
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…