Testing weighted splitting schemes on a one-column transport-chemistry model

Mikhail A. Bochev, I. Farago, Ágnes Havasi

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    Abstract

    In many transport-chemistry models, a huge system ofODEs of the advection-diffusion-reaction type has to be integrated in time. Typically, this is done with the help of operator splitting. Rosenbrock schemes combined with approximate matrix factorization (ROS-AMF) are an alternative to operator splitting which does not suffer from splitting errors. However, implementation of ROS-AMF schemes often requires serious changes in the code.In this paper we test another classical second order splitting introduced by Strang in 1963, which, unlike the popular Strang splitting, seemed to be forgotten and rediscovered recently (partially due to its intrinsic parallellism). This splitting, called symmetrically weighted sequential (SWS) splitting, is simple and straightforward to apply, independent of the order of the operators and has an operator-level parallelism. In the experiments, the SWS scheme compares favorably to the Strang splitting, but is less accurate than ROS-AMF.
    Original languageEnglish
    Title of host publicationLarge-Scale Scientific Computing
    Subtitle of host publication4th International Conference, LSSC 2003, Sozopol, Bulgaria, June 4-8, 2003. Revised Papers
    EditorsIvan Lirkov, Svetozar Margenov, Jerzy Wasniewski, Plamen Yalamov
    Place of PublicationBerlin, Heidelberg
    PublisherSpringer
    Pages295-302
    ISBN (Electronic)978-3-540-24588-9
    ISBN (Print)978-3-540-21090-0
    DOIs
    Publication statusPublished - 4 Jun 2004
    Event4th International Conference on Large-Scale Scientific Computing, LSSC 2003 - Sozopol, Bulgaria
    Duration: 4 Jun 20038 Jun 2003
    Conference number: 4

    Publication series

    NameLecture Notes in Computer Science
    PublisherSpringer
    Volume2907
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349

    Conference

    Conference4th International Conference on Large-Scale Scientific Computing, LSSC 2003
    Abbreviated titleLSSC
    CountryBulgaria
    City Sozopol
    Period4/06/038/06/03

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    Keywords

    • METIS-219408

    Cite this

    Bochev, M. A., Farago, I., & Havasi, Á. (2004). Testing weighted splitting schemes on a one-column transport-chemistry model. In I. Lirkov, S. Margenov, J. Wasniewski, & P. Yalamov (Eds.), Large-Scale Scientific Computing: 4th International Conference, LSSC 2003, Sozopol, Bulgaria, June 4-8, 2003. Revised Papers (pp. 295-302). (Lecture Notes in Computer Science; Vol. 2907). Berlin, Heidelberg: Springer. https://doi.org/10.1007/978-3-540-24588-9_33