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Über A (α)-stabile Verfahren hoher Konsistenzordnung

On a (α)-stable methods with high order of consistency

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Zusammenfassung

Es wird in einer expliziten Konstruktion gezeigt, daß für jedes α ε (0, π/2)A (α)-stabile lineare Mehrschrittverfahren beliebiger Konsistenzordnung existieren. Einige charakteristische Daten der Verfahren und numerische Rechnungen werden angegeben.

Abstract

For each α ε (0, π/2), the existence ofA (α)-stable linear multistep methods with arbitrary order of consistency is shown by an explicit construction. Some characteristic data of the methods and numerical results are given.

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Authors and Affiliations

  1. Fachbereich Mathematik, Technische Universität Berlin, Straße des 17. Juni 135, D-1000, Berlin 12

    R. D. Grigorieff & J. Schroll

Authors
  1. R. D. Grigorieff
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  2. J. Schroll
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Die Verfasser danken den Referenten für kritische Bemeerkungen, die zu einer wesentlichen Straffung des ursprünglichen Konzeepts geführt haben.

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Grigorieff, R.D., Schroll, J. Über A (α)-stabile Verfahren hoher Konsistenzordnung. Computing 20, 343–350 (1978). https://doi.org/10.1007/BF02252382

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  • DOI: https://doi.org/10.1007/BF02252382

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