The analysis of operator splitting methods for the Camassa-Holm equation

DOI10.1016/j.apnum.2018.03.012zbMath1393.65018OpenAlexW2791397697MaRDI QIDQ1748416

Jingjun Zhao, Rui Zhan

Publication date: 11 May 2018

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.03.012

zbMATH Keywords

convergenceoperator splittingCamassa-Holm equationstrang splittingLie-Trotter splitting

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Applications of Lie groups to the sciences; explicit representations (22E70)

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

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