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Numerical results for a parallel linearly-implicit Runge-Kutta method

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Abstract

For the parallelization of implicit Runge-Kutta methods for stiff ODE’s a parallel computation of the stages is obvious. In this paper we consider the parallelization of the stages of linearly-implicit Runge-Kutta methods. The construction and implementation of a parallel linearly-implicit Runge-Kutta method is described. The numerical results are compared with the code PSODE of van der Houwen/Sommeijer [6] and a straightforward parallelization of RADAU5 [5]. All methods are based on the 3-stage implicit Radau-IIA method.

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  1. FB Mathematik und Informatik, Martin-Luther-Universität Halle-Wittenberg, D-06099, Halle

    Jürgen Bruder

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  1. Jürgen Bruder
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Bruder, J. Numerical results for a parallel linearly-implicit Runge-Kutta method. Computing 59, 139–151 (1997). https://doi.org/10.1007/BF02684476

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  • DOI: https://doi.org/10.1007/BF02684476

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