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

  • Authors:

  • M. El-Kyal;A. Machmoum

  • Affiliations:

  • LIP2E, ENSA, Université Ibn Zohr, B.P. 1136 Agadir, Morocco and LAMA, Faculté des sciences, Université Ibn Zohr, B.P. 8106 Agadir, Morocco;LAMA, Faculté des sciences, Université Ibn Zohr, B.P. 8106 Agadir, Morocco

  • Venue:
  • Mathematics and Computers in Simulation
  • Year:
  • 2008

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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.