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On the maximum order of optimal B-convergence of Lobatto III C schemes

Über die maximale Ordnung optimaler B-Konvergenz von Lobatto III C-Verfahren

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Abstract

The maximum orderp for which ans-stage Lobatto III C method,s>-4, is optimallyB-convergent for problems with a negative one-sided Lipschitz constantm is derived; it turns out to bes−1.

Zusammenfassung

Die Maximalordnungp optimalerB-Konvergenz vons-stufigen Lobatto III C-Verfahren mit mehr als drei Stufen —angewandt auf Anfangswertprobleme mit negativer einseitiger Lipschitzkonstantem — wird hergeleitet; sie ists−1.

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Authors and Affiliations

  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. On the maximum order of optimal B-convergence of Lobatto III C schemes. Computing 39, 175–181 (1987). https://doi.org/10.1007/BF02310106

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  • DOI: https://doi.org/10.1007/BF02310106

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