Parareal

Parareal is a parallel algorithm from numerical analysis and used for the solution of initial value problems.It has been introduced in 2001 by Lions… (More)
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2018
2018
The paper derives and analyses the (semi-)discrete dispersion relation of the Parareal parallel-in-time integration method. It… (More)
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2016
2016
Recent advancements in high-performance parallel computing platforms and parallel algorithms have significantly enhanced the… (More)
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2013
2013
Solving an evolution problem in parallel is naturally undertaken by trying to parallelize the algorithm in space, and then still… (More)
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2011
2011
Parallelization of partial differential equations (PDEs) by time decomposition has attracted much interest, mainly due to its… (More)
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Highly Cited
2010
Highly Cited
2010
The parareal algorithm introduced in 2001 by Lions, Maday, and Turinici is an iterative method for the parallelization of the… (More)
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2008
2008
A new class of iterative time parallel methods for initial va lue ordinary differential equations are developed. Methods based on… (More)
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Highly Cited
2007
Highly Cited
2007
The parareal algorithm is a method to solve time-dependent problems parallel in time: it approximates parts of the solution later… (More)
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2007
2007
Following encouraging experimental results in quantum control, numerical simulations have known significant improvements through… (More)
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2006
2006
We describe an iterative algorithm for the solution of a large scale linear-quadratic parabolic optimal control problem. Unlike… (More)
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2005
2005
This paper is the basic one of the series resulting from the minisymposium entitled “Recent Advances for the Parareal in Time… (More)
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