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Numerical Integration

Proceedings of the Conference Held at the Mathematisches Forschungsinstitut Oberwolfach, October 4–10, 1981

  • Conference proceedings
  • © 1982

Overview

Editors:
  1. G. Hämmerlin

    1. Mathematisches Institut, Ludwig-Maximilians-Universität, München 2, Germany

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Part of the book series: International Series of Numerical Mathematics (ISNM, volume 57)

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Table of contents (25 papers)

  1. Front Matter

    Pages 1-11
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  2. Families of Structured Quadrature Rules and Some Ramifications of Reducibility

    • Christopher T. H. Baker
    Pages 12-24

  3. Oscillating Polynomials of Least L1-Norm

    • Borislav Bojanov
    Pages 25-33

  4. Zur Quadraturtheorie Konvexer Funktionen

    • Helmut Braß
    Pages 34-47

  5. Duale Quadraturen

    • Hermann Engels, Anton Merschen
    Pages 48-54

  6. Expressions for Divergent Integrals in Terms of Convergent Ones

    • Henry E. Fettis
    Pages 55-59

  7. The Euler-MacLauren Formula as an Asymptotic Form of Poisson’s

    • Henry E. Fettis
    Pages 60-65

  8. A Comparison Theorem for Linear Functionals and its Application in Quadrature

    • Klaus-Jürgen Förster
    Pages 66-76

  9. Multidimensional Euler Summation Formulas and Numerical Cubature

    • Willi Freeden
    Pages 77-88

  10. An Algorithmic Implementation of the Generalized Christoffel Theorem

    • Walter Gautschi
    Pages 89-106

  11. A Quadrature Formula of Infinite Order

    • R. Gervais, Q. I. Rahman, G. Schmeisser
    Pages 107-118

  12. Construction of Known and New Cubature Formulas of Degree Five for Three-Dimensional Symmetric Regions, Using Orthogonal Polynomials

    • Ann Haegemans
    Pages 119-127

  13. Quadraturrest, Approximation und Chebyshev-Polynome

    • Werner Haußmann, Karl Zeller
    Pages 128-137

  14. Optimal Quadrature of Convex Functions

    • Gerhard Heindl
    Pages 138-147

  15. Ein Elementarer Beweis des Satzes von Krein

    • Kurt Jetter
    Pages 148-153

  16. Some Reflections on the Euler-Maclaurin Sum Formula

    • Donald Kershaw
    Pages 154-163

  17. A Note on Cubature over a Triangle of a Function Having Specified Singularities

    • J. N. Lyness, L. Gatteschi
    Pages 164-169

  18. Gaussian Cubature Formulae of Degree 2 and 3

    • H. M. Möller
    Pages 170-176

  19. Boolean Constructed Cubature Formulas of Interpolatory Type

    • Gerd Neumann
    Pages 177-186

  20. Gaussian Quadrature Applied to Eigenvalue Approximations

    • E. Schäfer
    Pages 187-197
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Editors and Affiliations

  • Mathematisches Institut, Ludwig-Maximilians-Universität, München 2, Germany

    G. Hämmerlin

Bibliographic Information

  • Book Title: Numerical Integration

  • Book Subtitle: Proceedings of the Conference Held at the Mathematisches Forschungsinstitut Oberwolfach, October 4–10, 1981

  • Editors: G. Hämmerlin

  • Series Title: International Series of Numerical Mathematics

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

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1982

  • Softcover ISBN: 978-3-0348-6309-4Published: 11 April 2014

  • eBook ISBN: 978-3-0348-6308-7Published: 12 June 2019

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: 275

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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