• Login
    View Item 
    •   Home
    • Research
    • Articles
    • View Item
    •   Home
    • Research
    • Articles
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of KAUSTCommunitiesIssue DateSubmit DateThis CollectionIssue DateSubmit Date

    My Account

    Login

    Quick Links

    Open Access PolicyORCID LibguideTheses and Dissertations LibguideSubmit an Item

    Statistics

    Display statistics

    A comparison of high-order explicit Runge–Kutta, extrapolation, and deferred correction methods in serial and parallel

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Thumbnail
    Name:
    camcos-v9-n2-p01-s.pdf
    Size:
    1.275Mb
    Format:
    PDF
    Description:
    Article - Full Text
    Download
    Type
    Article
    Authors
    Ketcheson, David I. cc
    Waheed, Umair bin cc
    KAUST Department
    Applied Mathematics and Computational Science Program
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    KAUST Solar Center (KSC)
    Numerical Mathematics Group
    Physical Science and Engineering (PSE) Division
    Date
    2014-06-13
    Permanent link to this record
    http://hdl.handle.net/10754/333641
    
    Metadata
    Show full item record
    Abstract
    We compare the three main types of high-order one-step initial value solvers: extrapolation, spectral deferred correction, and embedded Runge–Kutta pairs. We consider orders four through twelve, including both serial and parallel implementations. We cast extrapolation and deferred correction methods as fixed-order Runge–Kutta methods, providing a natural framework for the comparison. The stability and accuracy properties of the methods are analyzed by theoretical measures, and these are compared with the results of numerical tests. In serial, the eighth-order pair of Prince and Dormand (DOP8) is most efficient. But other high-order methods can be more efficient than DOP8 when implemented in parallel. This is demonstrated by comparing a parallelized version of the wellknown ODEX code with the (serial) DOP853 code. For an N-body problem with N = 400, the experimental extrapolation code is as fast as the tuned Runge–Kutta pair at loose tolerances, and is up to two times as fast at tight tolerances.
    Citation
    A comparison of high-order explicit Runge–Kutta, extrapolation, and deferred correction methods in serial and parallel 2014, 9 (2):175 Communications in Applied Mathematics and Computational Science
    Publisher
    Mathematical Sciences Publishers
    Journal
    Communications in Applied Mathematics and Computational Science
    DOI
    10.2140/camcos.2014.9.175
    arXiv
    1305.6165
    Additional Links
    http://msp.org/camcos/2014/9-2/p01.xhtml
    http://github.com/ketch/high_order_RK_RR/
    http://arxiv.org/abs/1305.6165
    ae974a485f413a2113503eed53cd6c53
    10.2140/camcos.2014.9.175
    Scopus Count
    Collections
    Articles; Applied Mathematics and Computational Science Program; Physical Science and Engineering (PSE) Division; KAUST Solar Center (KSC); Numerical Mathematics Group; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

    entitlement

     
    DSpace software copyright © 2002-2022  DuraSpace
    Quick Guide | Contact Us | KAUST University Library
    Open Repository is a service hosted by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items. For anonymous users the allowed maximum amount is 50 search results.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.