Mathematics of Computation

Author(s): Stéphane Descombes.
Journal: Math. Comp. 70 (2001), 1481-1501.
MSC (2000): Primary 65M12, 65B05, 65J15
Posted: July 11, 2000
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In this article, we prove the convergence of a splitting scheme of high order for a reaction-diffusion system of the form $u_t-M\Delta u +F(u)=0$ where

is an $m \times m$ matrix whose spectrum is included in $\{{\mathfrak{R}} z > 0 \}$ . This scheme is obtained by applying a Richardson extrapolation to a Strang formula.

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Retrieve articles in Mathematics of Computation with MSC (2000): 65M12, 65B05, 65J15

Stéphane Descombes
Affiliation: Unité de Mathématiques Pures et Appliquées, CNRS UMR 5669, Ecole Normale Supérieure de Lyon, 46, Allée d'Italie, 69364 Lyon Cedex 07, France
Email: stephane.descombes@umpa.ens-lyon.fr

DOI: 10.1090/S0025-5718-00-01277-1
PII: S 0025-5718(00)01277-1
Keywords: Splitting, reaction-diffusion systems
Received by editor(s): November 10, 1998
Received by editor(s) in revised form: November 29, 1999
Posted: July 11, 2000
Copyright of article: Copyright 2000, American Mathematical Society

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