Superlinear convergence of asynchronous multi-splitting waveform relaxation methods applied to a system of nonlinear ordinary differential equations

DOI10.1016/J.MATCOM.2007.08.012zbMath1144.65051OpenAlexW2040723761MaRDI QIDQ2479454

Malika El Kyal, A. Machmoum

Publication date: 26 March 2008

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2007.08.012

zbMATH Keywords

initial value problemsuperlinear convergencesystem of nonlinear ordinary differential equationsMulti-splittingAsynchronous algorithmsWaveform relaxation methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Cites Work

• Unnamed Item
• Multi-Splittings of Matrices and Parallel Solution of Linear Systems
• A comparison result for multisplittings and waveform relaxation methods

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