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Interpolatory Product Integration in the Presence of Singularities: L p Theory

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Numerical Integration

Part of the book series: NATO ASI Series ((ASIC,volume 357))

Abstract

We study interpolatory product integration rules based on Gauss, Radau and Lobatto points with respect to a generalized Jacobi weight function as applied to the integration of functions with singularities. We give sufficient conditions for convergence of such rules for both endpoint and interior singularities.

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics and Computer Science, Weizmann Institute of Science, Rehovot, 76100, Israel

    Philip Rabinowitz

  2. Department of Applied Mathematics, University of New South Wales, Kensington, NSW, 2033, Australia

    William E. Smith

Authors
  1. Philip Rabinowitz
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  2. William E. Smith
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Editor information

Editors and Affiliations

  1. Department of Informatics, University of Bergen, Bergen, Norway

    Terje O. Espelid

  2. School of Electrical Engineering and Computer Science, Washington State University, Pullman, WA, USA

    Alan Genz

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© 1992 Springer Science+Business Media Dordrecht

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Rabinowitz, P., Smith, W.E. (1992). Interpolatory Product Integration in the Presence of Singularities: L p Theory. In: Espelid, T.O., Genz, A. (eds) Numerical Integration. NATO ASI Series, vol 357. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2646-5_8

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  • DOI: https://doi.org/10.1007/978-94-011-2646-5_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5169-9

  • Online ISBN: 978-94-011-2646-5

  • eBook Packages: Springer Book Archive

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