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

DOI10.1016/0010-4655(94)00119-MzbMath0873.65094OpenAlexW2015100974MaRDI QIDQ1359809

Ali Rouhi, Jon Wright

Publication date: 30 October 1997

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

Full work available at URL: https://doi.org/10.1016/0010-4655(94)00119-m

zbMATH Keywords

Boussinesq equationshallow water equationsKorteweg-de Vries equationnonlinear wave equationsoperator splitting methodHamiltonian partial differential equationscomposition methodsodd-even splitting

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)

Related Items (4)

A pseudo-spectral splitting method for linear dispersive problems with transparent boundary conditions ⋮ The modeling of realistic chemical vapor infiltration/deposition reactors ⋮ Symplectic and multi-symplectic methods for coupled nonlinear Schrödinger equations with periodic solutions ⋮ A new operator splitting method for the numerical solution of partial differential equations. II

Cites Work

• Unnamed Item
• Analytical and numerical aspects of certain nonlinear evolution equations. III. Numerical, Korteweg-de Vries equation
• Sixth-order Lie group integrators
• Symplectic integration of Hamiltonian wave equations
• Long-time symplectic integration: the example of four-vortex motion
• Symplectic integration of Hamiltonian systems

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