Convergence of a splitting method of high order for reaction-diffusion systems
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Abstract:
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 $M$ 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.References
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Additional Information
- 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
- Received by editor(s): November 10, 1998
- Received by editor(s) in revised form: November 29, 1999
- Published electronically: July 11, 2000
- © Copyright 2000 American Mathematical Society
- Journal: Math. Comp. 70 (2001), 1481-1501
- MSC (2000): Primary 65M12, 65B05, 65J15
- DOI: https://doi.org/10.1090/S0025-5718-00-01277-1
- MathSciNet review: 1836914