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On Nyström and Product Integration Methods for Fredholm Integral Equations

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

Author

Listed:
  • Peter Junghanns

    (Technische Universität Chemnitz, Fakultät für Mathematik)

  • Giuseppe Mastroianni

    (University of Basilicata, Department of Mathematics, Computer Sciences and Economics)

  • Incoronata Notarangelo

    (University of Basilicata, Department of Mathematics, Computer Sciences and Economics)

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.

Suggested Citation

  • Peter Junghanns & Giuseppe Mastroianni & Incoronata Notarangelo, 2018. "On Nyström and Product Integration Methods for Fredholm Integral Equations," Springer Books, in: Josef Dick & Frances Y. Kuo & Henryk Woźniakowski (ed.), Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan, pages 645-673, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-72456-0_29
    DOI: 10.1007/978-3-319-72456-0_29
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