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Mathematical and Computational Aspects pp 213–227Cite as

Significance of Kernel Singularities for the Numerical Solution of Fredholm Integral Equations

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Part of the book series: Boundary Elements IX ((BOUNDARY,volume 9/1))

Abstract

Frequently Fredholm integral equations of the first kind are considered to be inherently ill-posed and therefore much less suited to numerical computation than those of the second kind. Based on collocation methods for boundary integral equations arising in fluid flow we will show that this is not true in all cases. Thereby two questions are to be answered in particular.

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Authors and Affiliations

  1. Dept. TECT. T, BBC Brown Boveri & Co. Ltd., CH-5401, Baden, Switzerland

    H. Niessner

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  1. H. Niessner
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C. A. Brebbia W. L. Wendland G. Kuhn

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© 1987 Springer-Verlag Berlin Heidelberg

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Niessner, H. (1987). Significance of Kernel Singularities for the Numerical Solution of Fredholm Integral Equations. In: Brebbia, C.A., Wendland, W.L., Kuhn, G. (eds) Mathematical and Computational Aspects. Boundary Elements IX, vol 9/1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21908-9_14

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  • DOI: https://doi.org/10.1007/978-3-662-21908-9_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-21910-2

  • Online ISBN: 978-3-662-21908-9

  • eBook Packages: Springer Book Archive

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