Arbitrarily High-Order Energy-Preserving Schemes for the Camassa-Holm Equation Based on the Quadratic Auxiliary Variable Approach
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Publication:6167135
DOI10.4208/aamm.oa-2022-0188zbMath1524.65650OpenAlexW4366538636MaRDI QIDQ6167135
Yu Shun Wang, Yuezheng Gong, Qi Hong, Chunwu Wang
Publication date: 7 July 2023
Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/aamm.oa-2022-0188
Camassa-Holm equationsymplectic Runge-Kutta methodshigh-order energy-preserving schemesquadratic auxiliary variable
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)
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