Stabilization of Explicit Methods for Hyperbolic Partial Differential Equations

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    Abstract

    It is well known that explicit methods are subject to a restriction on the time step. This restriction is a drawback if the variation of the solution in time is so small that accuracy considerations would allow a larger time step. In this case, implicit methods are more appropriate because they do allow large time steps. However, in general, they require more storage and are more difficult to implement than explicit methods. In this paper we propose a technique by which it is possible to stabilize explicit methods for quasi-linear hyperbolic equations. The stabilization turns out to be so effective that explicit methods become a good alternative to unconditionally stable implicit methods.
    Original languageEnglish
    Number of pages17
    JournalInternational journal for numerical methods in fluids
    Publication statusPublished - 1986

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