Analysis of explicit multirate and partitioned Runge-Kutta schemes for conservation laws

W. Hundsdorfer, A. Mozartova, V. Savcenco

    Research output: Book/ReportReportAcademic

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    Abstract

    Multirate schemes for conservation laws or convection-dominated problems seem to come in two flavors: schemes that are locally inconsistent, and schemes that lack mass-conservation. In this paper these two defects are discussed for one-dimensional conservation laws. Particular attention will be given to monotonicity properties of the multirate schemes, such as maximum principles and the total variation diminishing (TVD) property. The study of these properties will be done within the framework of partitioned Runge-Kutta methods.
    Original languageEnglish
    Place of PublicationAmsterdam
    PublisherCentrum voor Wiskunde en Informatica
    Number of pages37
    Publication statusPublished - 2007

    Publication series

    NameCWI report. MAS-E
    Volume0715
    ISSN (Print)1386-3703

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