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    A task parallel implementation of fast multipole methods

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    Type
    Conference Paper
    Authors
    Taura, Kenjiro
    Nakashima, Jun
    Yokota, Rio cc
    Maruyama, Naoya
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Extreme Computing Research Center
    Date
    2012-11
    Permanent link to this record
    http://hdl.handle.net/10754/564624
    
    Metadata
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    Abstract
    This paper describes a task parallel implementation of ExaFMM, an open source implementation of fast multipole methods (FMM), using a lightweight task parallel library MassiveThreads. Although there have been many attempts on parallelizing FMM, experiences have almost exclusively been limited to formulation based on flat homogeneous parallel loops. FMM in fact contains operations that cannot be readily expressed in such conventional but restrictive models. We show that task parallelism, or parallel recursions in particular, allows us to parallelize all operations of FMM naturally and scalably. Moreover it allows us to parallelize a ''mutual interaction'' for force/potential evaluation, which is roughly twice as efficient as a more conventional, unidirectional force/potential evaluation. The net result is an open source FMM that is clearly among the fastest single node implementations, including those on GPUs; with a million particles on a 32 cores Sandy Bridge 2.20GHz node, it completes a single time step including tree construction and force/potential evaluation in 65 milliseconds. The study clearly showcases both programmability and performance benefits of flexible parallel constructs over more monolithic parallel loops. © 2012 IEEE.
    Citation
    Taura, K., Nakashima, J., Yokota, R., & Maruyama, N. (2012). A Task Parallel Implementation of Fast Multipole Methods. 2012 SC Companion: High Performance Computing, Networking Storage and Analysis. doi:10.1109/sc.companion.2012.86
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    2012 SC Companion: High Performance Computing, Networking Storage and Analysis
    Conference/Event name
    2012 SC Companion: High Performance Computing, Networking Storage and Analysis, SCC 2012
    ISBN
    9780769549569
    DOI
    10.1109/SC.Companion.2012.86
    ae974a485f413a2113503eed53cd6c53
    10.1109/SC.Companion.2012.86
    Scopus Count
    Collections
    Conference Papers; Extreme Computing Research Center; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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