Méthodes de relaxation d'ondes (SWR) pour l'équation de la chaleur en dimension 1

We introduce Schwarz Waveform Relaxation algorithms (SWR) for the heat equation which have a much faster convergence rate than the classical one due to optimized transmission conditions between subdomains. We analyze the asymptotic dependence of the convergence rate with respect to the size of the overlap and the time step. To cite this article: M.J. Gander, L. Halpern, C. R. Acad. Sci. Paris, Ser. I 336 (2003).