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On the approximate computation of certain strongly singular integrals

Die näherungsweise Berechnung gewisser stark singulärer Integrale

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Abstract

Finite-part integrals, first introduced by Hadamard in connection with hyperbolic partial differential equations, have been found useful in a number of engineering applications. In this paper we investigate some numerical methods for computing finite-part integrals with a double-pole singularity.

Zusammenfassung

Integrale mit endlichem Bestandteil, erstmals von Hadamard in Verbindung mit hyperbolischen Partialdifferentialgleichungen eingeführt, finden verschiedene Anwendungen in der Technik. In diesem Artikel werden neue Methoden für die numerische Auswertung von Integralen mit einer Doppelpol-Singularität untersucht.

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  1. Computer Science Division, University of California, 95616, Davis, CA, U.S.A.

    P. Linz

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  1. P. Linz
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Linz, P. On the approximate computation of certain strongly singular integrals. Computing 35, 345–353 (1985). https://doi.org/10.1007/BF02240199

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  • DOI: https://doi.org/10.1007/BF02240199

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