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Multidimensional Euler Summation Formulas and Numerical Cubature

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Numerical Integration

Abstract

The purpose of the present paper is the study of formulas and methods for numerical computation of multidimensional integrals. The entire discussion is based on multidimensional generalizations of Euler summation formula. Cubature formulas are considered, estimates of the truncation error are given. The theory of Green’s (lattice) functions to elliptic differential operators and the “boundary condition” of periodicity is the main tool.

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References

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Authors
  1. Willi Freeden
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Editors and Affiliations

  1. Mathematisches Institut, Ludwig-Maximilians-Universität, Theresienstrasse 39, D-8, München 2, Germany

    G. Hämmerlin

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© 1982 Springer Basel AG

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Freeden, W. (1982). Multidimensional Euler Summation Formulas and Numerical Cubature. In: Hämmerlin, G. (eds) Numerical Integration. ISNM 57: International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 57. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6308-7_8

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  • DOI: https://doi.org/10.1007/978-3-0348-6308-7_8

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-6309-4

  • Online ISBN: 978-3-0348-6308-7

  • eBook Packages: Springer Book Archive

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