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On Nyström and Product Integration Methods for Fredholm Integral Equations

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Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan

Abstract

The aim of this paper is to combine classical ideas for the theoretical investigation of the Nyström method for second kind Fredholm integral equations with recent results on polynomial approximation in weighted spaces of continuous functions on bounded and unbounded intervals, where also zeros of polynomials w.r.t. exponential weights are used.

Dedicated to Ian H. Sloan on the occasion of his 80th birthday.

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Acknowledgements

The second author was partially supported by University of Basilicata (local funds).

The third author was partially supported by University of Basilicata (local funds) and by National Group of Computing Science GNCS-INdAM.

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Authors and Affiliations

  1. Fakultät für Mathematik, Technische Universität Chemnitz, Chemnitz, Germany

    Peter Junghanns

  2. Department of Mathematics, Computer Sciences and Economics, University of Basilicata, Potenza, Italy

    Giuseppe Mastroianni & Incoronata Notarangelo

Authors
  1. Peter Junghanns
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  2. Giuseppe Mastroianni
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  3. Incoronata Notarangelo
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Corresponding author

Correspondence to Peter Junghanns .

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Editors and Affiliations

  1. School of Mathematics and Statistics, University of New South Wales, Sydney, Australia

    Josef Dick

  2. School of Mathematics and Statistics, University of New South Wales, Sydney, Australia

    Frances Y. Kuo

  3. Department of Computer Science, Columbia University, New York, USA

    Henryk Woźniakowski

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Junghanns, P., Mastroianni, G., Notarangelo, I. (2018). On Nyström and Product Integration Methods for Fredholm Integral Equations. In: Dick, J., Kuo, F., Woźniakowski, H. (eds) Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan. Springer, Cham. https://doi.org/10.1007/978-3-319-72456-0_29

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