A note onB-stability of Runge-Kutta methods |
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| Authors: | W. H. Hundsdorfer M. N. Spijker |
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| Affiliation: | (1) Department of Mathematics, University of Leiden, Wassenaarseweg 80, P.O. Box 9512, 2300 RA Leiden, The Netherlands |
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| Abstract: | Summary Burrage and Butcher [1, 2] and Crouzeix [4] introduced for Runge-Kutta methods the concepts ofB-stability,BN-stability and algebraic stability. In this paper we prove that for any irreducible Runge-Kutta method these three stability concepts are equivalent.Chapters 1–3 of this article have been written by the second author, whereas chapter 4 has been written by the first author |
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| Keywords: | AMS (MOS) 65L05 CR: 5.17 |
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