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Characterization of B-convergent Runge-Kutta methods for strictly dissipative initial value problems

Charakterisierung B-konvergenter Runge-Kutta-Methoden für strikt dissipative Anfangswertprobleme

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Abstract

The property of algebraic stability turns out to be a sufficient and necessary condition for a Runge-Kutta method to beB-convergent on the class of problems with a negative one-sided Lipschitz constant.

Zusammenfassung

Auf der Klasse von Anfangswertproblemen mit negativer einseitiger Lipschitzkonstante ist die Eigenschaft algebraischer Stabilität eines Runge-Kutta-Verfahrens notwendig und hinreichend für dessenB-Konvergenz.

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  1. Institut für Angewandte und Numerische Mathematik, TU-Wien, Wiedner Hauptstrasse 6-10, A-1040, Wien, Austria

    J. Schneid

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  1. J. Schneid
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Schneid, J. Characterization of B-convergent Runge-Kutta methods for strictly dissipative initial value problems. Computing 42, 61–67 (1989). https://doi.org/10.1007/BF02243143

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  • DOI: https://doi.org/10.1007/BF02243143

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