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On the superlinear and linear convergence of the parareal algorithm

Authors
Vandewalle, Stefan
Published in Widlund, Olof B. and Keyes, David E. 16th International Conference on Domain Decomposition Methods. Berlin: Springer. 2007, p. 291-298
Collection Lecture Notes in Computational Science and Engineering; 55
Abstract The parareal algorithm is a method to solve time dependent problems parallel in time: it approximates parts of the solution later in time simultaneously to parts of the solution earlier in time. In this paper the relation of the parareal algorithm to space-time multigrid and multiple shooting methods is first briefly discussed. The focus of the paper is on some new convergence results that show superlinear convergence of the algorithm when used on bounded time intervals, and linear convergence for unbounded intervals.
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ISBN: 978-3-540-34469-8
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GANDER, Martin Jakob, VANDEWALLE, Stefan. On the superlinear and linear convergence of the parareal algorithm. In: Widlund, Olof B. and Keyes, David E. (Ed.). 16th International Conference on Domain Decomposition Methods. Berlin : Springer, 2007. p. 291-298. (Lecture Notes in Computational Science and Engineering; 55) https://archive-ouverte.unige.ch/unige:8272

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Deposited on : 2010-06-21

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