Linearly Implicit Invariant-Preserving Decoupled Difference Scheme For The Rotation-Two-Component Camassa--Holm System-Reference-Cited by-同舟云学术

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Linearly Implicit Invariant-Preserving Decoupled Difference Scheme For The Rotation-Two-Component Camassa--Holm System

Published:2022-08 Issue:4 Volume:44 Page:A2226-A2252
ISSN:1064-8275
Container-title:SIAM Journal on Scientific Computing
language:en
Short-container-title:SIAM J. Sci. Comput.

Author:

Zhang Qifeng,Liu Lingling,Zhang Zhimin

Funder

National Natural Science Foundation of China

Zhejiang Sci-Tech University

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Computational Mathematics

Reference50 articles.

1. Convergence of a Second-order Energy-decaying Method for the Viscous Rotating Shallow Water Equation

2. Error estimates for Galerkin finite element methods for the Camassa–Holm equation

3. Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction

4. Global Conservative Solutions of the Camassa–Holm Equation

5. An integrable shallow water equation with peaked solitons

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Direct/split invariant-preserving Fourier pseudo-spectral methods for the rotation-two-component Camassa–Holm system with peakon solitons;Computer Physics Communications;2024-09

2. A class of monotone and structure-preserving Du Fort-Frankel schemes for nonlinear Allen-Cahn equation;Computers & Mathematics with Applications;2024-09

3. Fully conservative difference schemes for the rotation-two-component Camassa–Holm system with smooth/nonsmooth initial data;Wave Motion;2024-08

4. A decoupled, linearly implicit and high-order structure-preserving scheme for Euler–Poincaré equations;Mathematics and Computers in Simulation;2024-04

5. Error estimates of invariant-preserving difference schemes for the rotation-two-component Camassa–Holm system with small energy;Calcolo;2024-01-02

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