An explicit-implicit method for a class of time-dependent partial differential equations

F.W. Wubs, E.D. de Goede

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    Abstract

    For the integration of partial differential equations, we distinguish explicit and implicit methods. In this paper, we consider an explicit-implicit method, which follows from the truncation of the solution process of a fully implicit method. Such a method is of interest because not only better vectorizing properties can be obtained by increasing the explicit part, but the method also fits well in a domain-decomposition approach. In this paper, we focus on the feasibility of such methods by studying their stability and accuracy properties. Nevertheless, we also did some experiments on vectorcomputers to show that for a sufficient degree of explicitness our method is more efficient than fully implicit methods.

    Original languageEnglish
    Pages (from-to)157-181
    Number of pages25
    JournalApplied numerical mathematics
    Volume9
    Issue number2
    Publication statusPublished - Feb-1992

    Keywords

    • PARTIAL DIFFERENTIAL EQUATIONS
    • EXPLICIT IMPLICIT METHODS
    • METHOD OF LINES
    • TRIDIAGONAL SYSTEMS
    • INCOMPLETE CYCLIC REDUCTION
    • STABILITY
    • VECTOR AND PARALLEL COMPUTERS
    • DOMAIN DECOMPOSITION
    • LINEAR-SYSTEMS

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