Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions

DOI10.1016/j.jcp.2019.05.048zbMath1452.65393arXiv1809.02704OpenAlexW2963115123WikidataQ127746461 ScholiaQ127746461MaRDI QIDQ2222335

Yong-Zhong Song, Wenjun Cai, Chaolong Jiang, Yu Shun Wang

Publication date: 26 January 2021

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.02704

zbMATH Keywords

Neumann boundary conditionstructure-preserving algorithmsummation-by-parts operatorscalar auxiliary variable approach

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Soliton solutions (35C08)

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