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20182021
most citedEfficient energy-preserving numerical approximations for the sine-Gordon equation with Neumann boundary conditions

6 citations · 15 across the 6 of their papers we have counts for

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Showing 2020Show all

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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★ 6 cited

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…