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Some new aspects of the convergence of dynamic iteration methods for coupled systems of DAEs

Please always quote using this URN:urn:nbn:de:0296-matheon-3815
  • The purpose of this paper is the analysis of dynamic iteration methods for the numerical integration of coupled systems of ODEs and DAEs. We will investigate convergence of these methods and put special emphasis on the {\sc Jacobi}- and {\sc Gauss-Seidel} methods. Furthermore, the fundamental difference in the convergence behaviour of coupled ODEs and DAEs is pointed out. This difference is used to explain why certain relaxation methods for coupled DAEs may fail. Finally, a remedy to this undesirable effect is proposed that makes use of a so-called {\em preconditioned dynamic iteration} strategy. This regularization also allows significant reduction of dynamic iteration steps.

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Metadaten
Author:Falk Ebert
URN:urn:nbn:de:0296-matheon-3815
Referee:Volker Mehrmann
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2007/04/25
Release Date:2007/04/25
Institute:Technische Universität Berlin
Preprint Number:383
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