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]
^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)
^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.
Parareal is a parallel algorithm from numerical analysis and used for the solution of initial value problems. It was introduced in 2001 by Lions, Maday...
available, interest was renewed in the early 2000s with the development of Parareal, a flexible, easy-to-use PinT algorithm that is suitable for solving a...
to derive parallel solvers for initial value problems. For example, the Parareal parallel-in-time integration method can be derived as a multiple shooting...
multiplication Parallel algorithms for minimum spanning trees Parallel computing Parareal Blelloch, Guy E.; Maggs, Bruce M. "Parallel Algorithms" (PDF). USA: School...
methods, they can offer concurrency in temporal direction. The well known Parareal parallel-in-time integration method can also be reformulated as a two-level...
stepsize — automatically changing the step size when that seems advantageous Parareal -- a parallel-in-time integration algorithm Numerical partial differential...