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The parareal in time iterative solver: a further direction to parallel implementation. (English) Zbl 1067.65102
Kornhuber, Ralf (ed.) et al., Domain decomposition methods in science and engineering. Selected papers of the 15th international conference on domain decomposition, Berlin, Germany, July 21–25, 2003. Berlin: Springer (ISBN 3-540-22523-4/pbk). Lecture Notes in Computational Science and Engineering 40, 441-448 (2005).
Summary: The parareal in time algorithm is presented in its current version (predictor-corrector) and the combination of this new algorithm with other more classical iterative solvers for parallelization which makes it possible to really consider the time direction as fertile ground to reduce the time integration costs.
For the entire collection see [Zbl 1049.65003].

MSC:
65M55 Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs
35K90 Abstract parabolic equations
65Y05 Parallel numerical computation
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
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