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An Overview of Results and Questions Related to Kronrod Schemes

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Book cover Numerische Integration

Abstract

We often approximate a definite integral by using a quadrature rule of the form

$$\int_a^b {f\left( x \right)dx \approx \sum\limits_{i = 1}^n {{w_i}f\left( {{x_i}} \right)} }$$

.

Work performed under the auspices of the Italian Research Council.

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References

  1. A. S. Kronrod, Nodes and Weights for Quadrature Formulae. Sixteen-places Tables, “Nauka”, Moscow, 1964; English transi., Consultants Bureau, New York, 1965. MR32 #597, #598.

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Authors
  1. Giovanni Monegato
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Editors and Affiliations

  1. München, Germany

    G. Hämmerlin

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© 1979 Springer Basel AG

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Monegato, G. (1979). An Overview of Results and Questions Related to Kronrod Schemes. In: Hämmerlin, G. (eds) Numerische Integration. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 45. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6288-2_18

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  • DOI: https://doi.org/10.1007/978-3-0348-6288-2_18

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-1014-1

  • Online ISBN: 978-3-0348-6288-2

  • eBook Packages: Springer Book Archive

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