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Parareal information


Parareal is a parallel algorithm from numerical analysis and used for the solution of initial value problems.[1] It was introduced in 2001 by Lions, Maday and Turinici. Since then, it has become one of the most widely studied parallel-in-time integration methods.[citation needed]

Illustration of the first iteration in Parareal (adapted from the original version[2]).
  1. ^ Lions, Jacques-Louis; Maday, Yvon; Turinici, Gabriel (2015). [Lions maday "A "parareal" in time discretization of PDE's"]. Comptes Rendus de l'Académie des Sciences, Série I. 332 (7): 661–668. Bibcode:2001CRASM.332..661L. doi:10.1016/S0764-4442(00)01793-6. {{cite journal}}: Check |url= value (help)
  2. ^ Pentland, Kamran; Tamborrino, Massimiliano; Samaddar, Debasmita; Appel, Lynton (2022). "Stochastic parareal: an application of probabilistic methods to time-parallelization" (PDF). SIAM Journal on Scientific Computing. 45 (3): S82–S102. doi:10.1137/21M1414231. S2CID 235485544.

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