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Wiener — Hopf Integral Equations: Finite Section Approximation and Projection Methods

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Constructive Methods for the Practical Treatment of Integral Equations

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 73))

Abstract

We consider the numerical solution of integral equations on the half-line by their finite-section approximation and by projection methods. Convergence results for the finite-section approximation are discussed, and are shown to be important in the analysis of the convergence of the projection method. Piecewise- constant collocation is discussed in detail, and numerical results are given.

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References

  1. Anselone, P.M. and Sloan, I.H. (1983) Integral equations on the half-line, J. Integral Equations (to appear).

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  4. Krein, M.G. (1963) Integral equations on a half- line with kernel depending on the difference of the arguments, Amer. Math. Soc. Transl. (2), 22 163–288.

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  6. Sloan, I.H. and Spence, A. (1984) Projection methods for integral equations on the half-line (submitted).

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics, University of New South Wales, Sydney, NSW 2033, Australia

    Dr I. H. Sloan

  2. School of Mathematics, University of Bath, Claverton Down, Bath, BA2 7AY, UK

    Dr A. Spence

Authors
  1. Dr I. H. Sloan
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  2. Dr A. Spence
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Editor information

Editors and Affiliations

  1. Mathematisches Institut der, Ludwig-Maximilians-Universität, Theresienstraße 39, D-8000, München 2, Germany

    G. Hämmerlin

  2. Mathematisches Institut, der Universität Augsburg, Memminger Straße 6, D-8900, Augsburg, Germany

    K.-H. Hoffmann

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© 1985 Birkhäuser Verlag Basel

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Sloan, I.H., Spence, A. (1985). Wiener — Hopf Integral Equations: Finite Section Approximation and Projection Methods. In: Hämmerlin, G., Hoffmann, KH. (eds) Constructive Methods for the Practical Treatment of Integral Equations. International Series of Numerical Mathematics, vol 73. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9317-6_22

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  • DOI: https://doi.org/10.1007/978-3-0348-9317-6_22

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9993-2

  • Online ISBN: 978-3-0348-9317-6

  • eBook Packages: Springer Book Archive

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