A- andB-stability for Runge-Kutta methods-characterizations and equivalence |
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Authors: | E. Hairer |
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Affiliation: | (1) Section de mathématiques 2-4, rue du Lièvre, Case postale 240, CH-1211 Genève 24, Switzerland |
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Abstract: | Summary Using a special representation of Runge-Kutta methods (W-transformation), simple characterizations ofA-stability andB-stability have been obtained in [9, 8, 7]. In this article we will make this representation and their conclusions more transparent by considering the exact Runge-Kutta method. Finally we demonstrate by a numerical example that for difficult problemsB-stable methods are superior to methods which are onlyA-stable.Talk, presented at the conference on the occasion of the 25th anniversary of the founding ofNumerische Mathematik, TU Munich, March 19–21, 1984 |
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Keywords: | AMS(MOS): 65 L 20 CR: G.1.7 |
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