On the additive splitting procedures and their computer realization

I. Farago, Per Grove Thomsen, Z. Zlatev

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    Abstract

    Two additive splitting procedures are defined and studied in this paper. It is shown that these splitting procedures have good stability properties. Some other splitting procedures, which are traditionally used in mathematical models used in many scientific and engineering fields, are sketched. All splitting procedures are tested by using six different numerical methods for solving differential equations. Many conclusions, which are related both to the comparison of the additive splitting procedures with the other splitting procedures and to the influence of the numerical methods for solving differential equations on the accuracy of the splitting procedures, are drawn.
    Original languageEnglish
    JournalApplied Mathematical Modelling
    Volume32
    Issue number8
    Pages (from-to)1552-1569
    ISSN0307-904X
    DOIs
    Publication statusPublished - 2008

    Keywords

    • time discretization
    • operator splitting
    • stability
    • numerical methods

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