• search hit 141 of 182
Back to Result List

Convergence of relaxation methods for coupled systems of ODEs and DAEs

Please always quote using this URN:urn:nbn:de:0296-matheon-1774
  • The purpose of this paper is the analysis of relaxation methods for the numerical integration of coupled systems of ODEs and DAEs. We will investigate convergence of relaxation methods and put special emphasis on the Jacobi- and 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 preconditioned dynamic iteration strategy. This regularization also allows significant reduction of relaxation steps.

Download full text files

Export metadata

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Falk Ebert
URN:urn:nbn:de:0296-matheon-1774
Referee:Caren Tischendorf
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2004/11/19
Release Date:2004/09/11
Institute:Technische Universität Berlin
Preprint Number:176
Verstanden ✔
Diese Webseite verwendet technisch erforderliche Session-Cookies. Durch die weitere Nutzung der Webseite stimmen Sie diesem zu. Unsere Datenschutzerklärung finden Sie hier.