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Approximate integration using iterated Levin transformations

  • Track 8: Numerical Analysis
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Computing in the 90's (Great Lakes CS 1989)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 507))

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Abstract

The efficiency of a quadrature scheme based on iterated Levin U transformations and composite rule approximations for a harmonic sequence of mesh ratios is demonstrated for typical problem classes. Numerical results indicate a favourable comparison with the well known nonlinear extrapolation procedures applied to a sequence of composite quadrature rule sums for a geometric progression of the mesh ratios.

On leave at: California Institute of Technology, Caltech Concurrent Supercomp. Fac., Mail stop 158–79, Pasadena CA 91125; dedonker@wega.caltech.edu

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References

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Authors and Affiliations

  1. La Trobe University, 3083, Bundoora, VIC, Australia

    Ricolindo Cariño & Ian Robinson

  2. Dept. of Comp. Science, Western Mich. Univ., 49008, Kalamazoo, MI

    Elise de Doncker

Authors
  1. Ricolindo Cariño
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  2. Elise de Doncker
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  3. Ian Robinson
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Editor information

Naveed A. Sherwani Elise de Doncker John A. Kapenga

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© 1991 Springer-Verlag Berlin Heidelberg

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Cariño, R., de Doncker, E., Robinson, I. (1991). Approximate integration using iterated Levin transformations. In: Sherwani, N.A., de Doncker, E., Kapenga, J.A. (eds) Computing in the 90's. Great Lakes CS 1989. Lecture Notes in Computer Science, vol 507. Springer, New York, NY. https://doi.org/10.1007/BFb0038506

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  • DOI: https://doi.org/10.1007/BFb0038506

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97628-0

  • Online ISBN: 978-0-387-34815-5

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