A new operator splitting method for the numerical solution of partial differential equations. II

DOI10.1016/0010-4655(96)00077-XzbMath0926.65099OpenAlexW4250305233MaRDI QIDQ1294635

Jon Wright, Ali Rouhi, Roy Schult

Publication date: 22 November 1999

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0010-4655(96)00077-x

zbMATH Keywords

stabilityNavier-Stokes equationsshallow water equationsfast wavesoperator splitting methodimplicit methodsexplicit time stepping methodsodd-even splitting method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Second-order nonlinear hyperbolic equations (35L70) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Cites Work

• Sixth-order Lie group integrators
• Symplectic integration of Hamiltonian wave equations
• A new operator splitting method for the numerical solution of partial differential equations
• On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods
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