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M10   Time Domain Decomposition Methods for Evolution Problems

Organizer

Abstract

Time Domain Decomposition methods are methods which decompose the time dimension of an evolution problem into time-subdomains, and then compute the solution trajectory in time simultaneously in all the time subdomains using an iteration. The advent of the parareal algorithm by Lions, Maday and Turinici in 2001 sparked renewed interest in these methods, and there are now several convergence results available for them. In particular, these methods exhibit superlinear convergence on bounded time intervals.

While the speedup with parallelization in time is often less impressive than with parallelization in space, parallelization in time is for problems with few spatial components often the only option, if results in real time need to be obtained. This reasoning also led to the name parareal (parallel in real time) of the new algorithm from 2001.

List of speakers

Mon, 3 July, Room: B2
Chair: Martin Gander

M10-1 16:00-16:25 Guillaume Bal:
Symplectic parareal
M10-2 16:30-16:55 Julien Salomon:
Parareal in time control for quantum systems
M10-3 17:00-17:25 Jürgen Geiser:
Time-Decomposition Methods for Parabolic Problems : Convergence results of Iterative Splitting methods
M10-4 17:30-17:55 Christian Schaerer Serra:
Time-parallel iterative algorithms for optimal control of parabolic equations
M10-5 18:00-18:25 Choi-Hong Lai:
A two-level time domain algorithm for the solution of nonlinear transient parabolic problems with applications

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