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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… Expand
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Papers overview

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2016
2016
Recent advancements in high-performance parallel computing platforms and parallel algorithms have significantly enhanced the… Expand
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2013
2013
NSF of China [11201077, 11071203, 91130002]; NSF of Fujian Province [2012J01007]; Fuzhou University [0460022456]; Hong Kong… Expand
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Highly Cited
2011
Highly Cited
2011
Parallelization of partial differential equations (PDEs) by time decomposition has attracted much interest, mainly due to its… Expand
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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… Expand
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2009
2009
We introduce the time-parallel compound wavelet matrix method (tpCWM) for modeling the temporal evolution of multiscale and… Expand
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Highly Cited
2008
Highly Cited
2008
The parareal algorithm is a numerical method to integrate evolution problems on parallel computers. The performance of the… Expand
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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… Expand
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Highly Cited
2005
Highly Cited
2005
We discuss the stability of the Parareal algorithm for an autonomous set of differential equations. The stability function for… Expand
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Highly Cited
2005
Highly Cited
2005
The “parareal in time” algorithm introduced in Lions et al. [2001] enables parallel computation using a decomposition of the… Expand
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Highly Cited
2005
Highly Cited
2005
After stating an abstract convergence result for the parareal algorithm used in the parallelization in time of general partial… Expand
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