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Asymptotic stability and discretization on an infinite interval

Asymptotische Stabilität und Diskretisierung auf einem unendlichen Intervall

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Abstract

By imposing some conditions on the discrete dynamical systems generated by one step discretization methods, we construct some non linear one step methods of the first and second order, which turn out to beA-stable orL-stable according to the current definitions. Numerical experiments are carried out on some common stiff test problems, confirming the validity of the methods.

Zusammenfassung

Indem wir den aus den One-Step-Diskretierungsmethoden entstandenen dynamischen Systemen einige Bedingungen auferlegen, konstruieren wir einige nichtlineare One-Step-Methoden von erster und zweiter Ordnung, die nach der allgemeinen BezeichnungA-stabil oderL-stabil sind. Zahlenergebnisse an einigen „steifen” Test-Problemen, die vorgelegt werden, bestätigen die Brauchbarkeit dieser Methoden.

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Authors and Affiliations

  1. Centro Ricerche IBM, Via Cardassi 3, Bari, Italy

    D. Trigiante

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  1. D. Trigiante
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Trigiante, D. Asymptotic stability and discretization on an infinite interval. Computing 18, 117–129 (1977). https://doi.org/10.1007/BF02243621

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  • DOI: https://doi.org/10.1007/BF02243621

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