Matches in DBpedia 2015-10 for { ?s ?p "Parareal is an algorithm from numerical analysis and used for the solution of initial value problems.In contrast to e.g. Runge-Kutta or multi-step methods, some of the computations in Parareal can be performed in parallel andParareal is therefore one example of a parallel-in-time integration method.While historically most efforts to parallelize the numerical solution of partial differential equations focussed on the spatial discretization, in view of the challenges from exascale computing, parallel methods for temporal discretization have been identified as a possible way to increase concurrency in numerical software.Because Parareal computes the numerical solution for multiple time steps in parallel, it is categorized as a parallel across the steps method.This is in contrast to approaches using parallelism across the method like parallel Runge-Kutta methods, where independent stages can be computed in parallel or parallel across the system methods like waveform relaxation."@en }
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- Parareal abstract "Parareal is an algorithm from numerical analysis and used for the solution of initial value problems.In contrast to e.g. Runge-Kutta or multi-step methods, some of the computations in Parareal can be performed in parallel andParareal is therefore one example of a parallel-in-time integration method.While historically most efforts to parallelize the numerical solution of partial differential equations focussed on the spatial discretization, in view of the challenges from exascale computing, parallel methods for temporal discretization have been identified as a possible way to increase concurrency in numerical software.Because Parareal computes the numerical solution for multiple time steps in parallel, it is categorized as a parallel across the steps method.This is in contrast to approaches using parallelism across the method like parallel Runge-Kutta methods, where independent stages can be computed in parallel or parallel across the system methods like waveform relaxation.".