Efficient Implementation of a Multi-Level Parallel in Time Algorithm

  • Matthew Emmett
  • Michael L. Minion
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 98)


A strategy for scheduling the communication between processors in a multi-level parallel-in-time algorithm to reduce blocking communication is presented. The particular time-parallel method examined is the parallel full approximation scheme in space and time (PFASST), which utilizes a hierarchy of spatial and temporal discretization levels. By decomposing the update to initial conditions passed between processors into multiple spatial resolutions, the communication at the finest level can be scheduled to overlap with computation at coarser levels. The potential cost savings is demonstrated with a three dimensional PDE example.


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Lawrence Berkeley National LaboratoryBerkeleyUSA
  2. 2.Institute for Computational and Mathematical EngineeringStanford UniversityStanfordUSA

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