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Über die Konvergenz von Shooting-Verfahren

On the convergence of shooting methods

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Zusammenfassung

Unter der Voraussetzung der Existenz einer isolierten Lösung der vorgelegten Randwertaufgabe zeigen wir die Konvergenz des Shooting-Verfahrens in Verbindung mit Iterationsmethoden vom Regula-falsi-Typ. Dabei sind nichtlineare, Fréchetdifferenzierbare Randbedingungen zulässig. Die Wirksamkeit des Verfahrens wird durch einige numerische Beispiele belegt.

Abstract

Assuming the existence of an isolated solution of the given boundary value problem, we show the convergence of the shooting method combined with iteration methods of regula-falsi-type. Nonlinear, Fréchet-differentiable boundary conditions are admissable. The efficiency of the method is demonstrated by several numerical examples.

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Literatur

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Authors and Affiliations

  1. Institut für Angewandte Mathematik, Universität Hamburg, Rothenbaumchaussee 41, D-2000, Hamburg 13, Bundesrepublik Deutschland

    W. Hofmann &  H. Voss

Authors
  1. W. Hofmann
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  2. H. Voss
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Hofmann, W., Voss, H. Über die Konvergenz von Shooting-Verfahren. Computing 16, 49–60 (1976). https://doi.org/10.1007/BF02241979

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  • DOI: https://doi.org/10.1007/BF02241979

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