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Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 7(332), p. 661-668

DOI: 10.1016/s0764-4442(00)01793-6

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Résolution d'EDP par un schéma en temps «pararéel »

Journal article published in 2001 by Jacques-Louis Lions, Yvon Maday, Gabriel Turinici ORCID
This paper was not found in any repository, but could be made available legally by the author.
This paper was not found in any repository, but could be made available legally by the author.

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Abstract

The purpose of this Note is to propose a time discretization of a partial differential evolution equation that allows for parallel implementations. The method, based on an Euler scheme, combines coarse resolutions and independent fine resolutions in time in the same spirit as standard spacial approximations. The resulting parallel implementation is done in the non standard time direction. Its main goal concerns real time problems, hence the proposed terminology of “parareal” algorithm.