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Der Algorithmus von Marti für inkorrekt gestellte Gleichungen mit gestörtem Operator und beliebiger rechter Seite

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Zusammenfassung

Das Verfahren von Marti zur Lösung Fredholmscher Integralgleichungen erster Art wird modifiziert, so daß die Näherungen stabil gegen kleine Störungen des Operators sind. Das Verfahren wird an zwei-dimensionalen Integralgleichungen erster Art getestet.

Summary

For Marti's algorithm for solving Fredholm integral equations of the first kind a modification is presented. For this algorithm stability for small perturbations of the operator is shown. An application to two-dimensional integral equations of the first kind shows the numerical efficiency.

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Authors and Affiliations

  1. Mathematisches Institut, Universität München und Werner Ehrl, Siemens, München

    Walter R. Richert

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  1. Walter R. Richert
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Richert, W.R. Der Algorithmus von Marti für inkorrekt gestellte Gleichungen mit gestörtem Operator und beliebiger rechter Seite. Z. angew. Math. Phys. 36, 321–331 (1985). https://doi.org/10.1007/BF00945465

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  • DOI: https://doi.org/10.1007/BF00945465

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