Vol. 5, No. 2, 2010

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ISSN: 2157-5452 (e-only)
ISSN: 1559-3940 (print)
Parallel in time algorithms with reduction methods for solving chemical kinetics

Adel Blouza, Laurent Boudin and Sidi Mahmoud Kaber

Vol. 5 (2010), No. 2, 241–263
Abstract

We design suitable parallel in time algorithms coupled with reduction methods for the stiff differential systems integration arising in chemical kinetics. We consider linear as well as nonlinear systems. The numerical efficiency of our approach is illustrated by a realistic ozone production model.

Keywords
chemical kinetics, reduction, parareal algorithm
Mathematical Subject Classification 2000
Primary: 65L05, 65L80, 68W10, 80A32
Milestones
Received: 4 October 2009
Revised: 17 July 2010
Accepted: 13 September 2010
Published: 5 January 2011
Authors
Adel Blouza
Laboratoire de Mathématiques Raphaël Salem
UMR 6085 CNRS–Université de Rouen
76801 Saint-Etienne-du-Rouvray
France
Laurent Boudin
Laboratoire J.-L. Lions
Université Pierre et Marie Curie
75252 Paris cedex 05
France
Sidi Mahmoud Kaber
Laboratoire Jacques-Louis Lions
Université Pierre et Marie Curie
75252 Paris cedex 05
France