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On the stability of the one-step exact collocation method for the second kind volterra integral equation with degenerate kernel

Über die Stabilität des exakten Einschritt-Kollokationsverfahrens für Volterrasche Integralgleichungen zweiter Art mit degeneriertem Kern

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Abstract

The local stability properties of the collocation method applied to a second kind Volterra integral equation with degenerate kernel are investigated.

A finite length recurrence relation is derived and theorems for the local stability of the methods are proved.

Zusammenfassung

Es werden die lokalen Stabilitätseigenschaften der Kollokationsmethode, angewandt auf Volterrasche Integralgleichungen zweiter Art mit degeneriertem Kern, untersucht.

Eine Rekursionsrelation endlicher Ordnung wird angegeben, und es werden Sätze über die lokale Stabilität der Methode bewiesen.

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Authors and Affiliations

  1. Dipartimento di Matematica e Applicazioni, Via Mezzocannone, 8, Napoli, Italy

    Maria Rosaria Crisci

  2. Dipartimento di Informatica e Applicazioni, Università di Salerno, Salerno, Italy

    Elvira Russo

  3. Istituto per le Applicazioni della Matematica, C.N.R., Via P. Castellino, 111, Napoli, Italy

    Antonia Vecchio

Authors
  1. Maria Rosaria Crisci
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  2. Elvira Russo
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  3. Antonia Vecchio
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Crisci, M.R., Russo, E. & Vecchio, A. On the stability of the one-step exact collocation method for the second kind volterra integral equation with degenerate kernel. Computing 40, 315–328 (1988). https://doi.org/10.1007/BF02276915

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  • DOI: https://doi.org/10.1007/BF02276915

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