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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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Related topics

Related topics

22 relations
Amdahl's lawBlue GeneDirect multiple shooting methodDomain decomposition methods
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Broader (2)

Computational scienceParallel computing

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
Parareal in Time for Fast Power System Dynamic Simulations
Recent advancements in high-performance parallel computing platforms and parallel algorithms have significantly enhanced the… Expand
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2013
2013
Parallel in Time Algorithm with Spectral-Subdomain Enhancement for Volterra Integral Equations
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
Scheduling of tasks in the parareal algorithm
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
A HYBRID PARAREAL SPECTRAL DEFERRED CORRECTIONS METHOD
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
Time-parallel multiscale/multiphysics framework
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
Analysis of a Krylov subspace enhanced parareal algorithm for linear problems
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
Analysis of the Parareal Time-Parallel Time-Integration Method
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
Stability of the Parareal Algorithm
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
A Parareal in Time Semi-implicit Approximation of the Navier-Stokes Equations
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
On the Convergence and the Stability of the Parareal Algorithm to Solve Partial Differential Equations
After stating an abstract convergence result for the parareal algorithm used in the parallelization in time of general partial… Expand
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