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

M. El-Kyal and A. Machmoum

Mathematics and Computers in Simulation (MATCOM), 2008, vol. 77, issue 2, 179-188

Abstract: We prove the superlinear convergence of asynchronous multi-splitting waveform relaxation (MSWR) methods applied to a system of nonlinear ordinary differential equations. This study is based on the technique of nested sets. It allows to specify the class of the convergence.

Keywords: Numerical analysis; Waveform relaxation methods; Multi-splitting; Asynchronous algorithms (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:77:y:2008:i:2:p:179-188

DOI: 10.1016/j.matcom.2007.08.012

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