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Numerical Integration IV

Proceedings of the Conference at the Mathematical Research Institute, Oberwolfach, November 8–14, 1992

  • Conference proceedings
  • © 1993

Overview

Editors:
  1. H. Brass

    1. Institut für Angewandte Mathematik, TU Braunschweig, Braunschweig, Germany

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  2. G. Hämmerlin

    1. Mathematisches Institut, Ludwig-Maximilian-Universität, München, Germany

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: International Series of Numerical Mathematics (ISNM, volume 112)

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Table of contents (27 papers)

  1. Front Matter

    Pages i-xi
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  2. Multivariate Boolean Midpoint Rules

    • Günter Baszenki, Franz-Jürgen Delvos
    Pages 1-11

  3. A relation between cubature formulae of trigonometric degree and lattice rules

    • Marc Beckers, Ronald Cools
    Pages 13-24

  4. Distribution of Points in Convergent Sequences of Interpolatory Integration Rules: The Rates

    • Tom Bloom, Doron S. Lubinsky, Herbert B. Stahl
    Pages 25-37

  5. Bounds for Peano kernels

    • Helmut Brass
    Pages 39-55

  6. A new lower bound for the number of nodes in cubature formulae of degree 4 n + 1 for some circularly symmetric integrals

    • Ronald Cools, Hans Joachim Schmid
    Pages 57-66

  7. On the Construction of Gaussian Quadrature Formulae containing Preassigned Nodes

    • Sven Ehrich
    Pages 67-76

  8. Integrating Singularities using Non-uniform Subdivision and Extrapolation

    • Terje O. Espelid
    Pages 77-89

  9. Variance in Quadrature — a Survey

    • Klaus-Jürgen Förster
    Pages 91-110

  10. Gauss-type Quadrature Rules for Rational Functions

    • Walter Gautschi
    Pages 111-130

  11. Subdivision Methods for Adaptive Integration over Hyperspheres

    • Alan Genz
    Pages 131-140

  12. Formules de quadrature dans R2 avec ”réseau” minimal de droites

    • Allal Guessab
    Pages 141-149

  13. Quadrature rules derived from linear convergence accelerations schemes

    • Sven-Åke Gustafson
    Pages 151-165

  14. Construction of fully symmetrical cubature rules of very high degree for the square

    • Ann Haegemans, Pierre Verlinden
    Pages 167-174

  15. Numerical Integration of Nearly Singular Functions

    • Takemitsu Hasegawa, Tatsuo Torii
    Pages 175-188

  16. Some Problems involving Orthogonal Polynomials

    • David B. Hunter, Harry V. Smith
    Pages 189-197

  17. Intermediate Error Estimates for Quadrature Formulas

    • Peter Köhler
    Pages 199-214

  18. Stability tests for linear difference forms

    • Franz Locher
    Pages 215-223

  19. The Canonical Forms of a Lattice Rule

    • J. N. Lyness
    Pages 225-240

  20. Error Estimates of Product Quadrature Formulae

    • Giuseppe Mastroianni, Péter Vértesi
    Pages 241-252
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Keywords

Editors and Affiliations

  • Institut für Angewandte Mathematik, TU Braunschweig, Braunschweig, Germany

    H. Brass

  • Mathematisches Institut, Ludwig-Maximilian-Universität, München, Germany

    G. Hämmerlin

Bibliographic Information

  • Book Title: Numerical Integration IV

  • Book Subtitle: Proceedings of the Conference at the Mathematical Research Institute, Oberwolfach, November 8–14, 1992

  • Editors: H. Brass, G. Hämmerlin

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-6338-4

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1993

  • Softcover ISBN: 978-3-0348-6340-7Published: 11 April 2014

  • eBook ISBN: 978-3-0348-6338-4Published: 09 November 2013

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: XI, 385

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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