Another approach to Runge-Kutta methods

C.R. Traas

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    Abstract

    The condition equations are derived by the introduction of a system of equivalent differential equations, avoiding the usual formalism with trees and elementary differentials. Solutions to the condition equations are found by direct optimization, avoiding the necessity to introduce simplifying assumptions upon the Runge-Kutta coefficients. More favourable coefficients, in view of rounding errors, are found.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Publication statusPublished - 2004

    Publication series

    Name
    PublisherDepartment of Applied Mathematics, University of Twente
    No.1739
    ISSN (Print)0169-2690

    Keywords

    • MSC-65L06
    • EWI-3559
    • Runge-Kutta
    • IR-65923
    • condition equation
    • rounding error
    • direct optimization

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