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Algorithm 33 Wilf-quadrature

Algorithmus 33. Wilfsche Quadratur

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Abstract

Nodes and weights for Wilf-quadrature formulae with 2 (1) 32 nodes are given to 26 D as well as a FORTRAN program illustrating their use. These formulae are particularly well suited for numerically integrating functions with singularities.

Zusammenfassung

Stützstellen und Gewichte für Wilfsche Quadraturformeln mit 2 (1) 32 Stützstellen werden mit einer Genauigkeit von 26 D angegeben. Ein typisches FORTRAN-Programm illustriert die Implementation solcher Formeln, die sich besonders zur numerischen Integration von Funktionen mit Singularitäten eignen.

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References

  1. Engels, H., Eckhardt, U.: Symmetrische Wilfsche Quadraturformeln. KFA Jülich Research Report, Jül-1094-MA, August 1974.

  2. Engels, H., Eckhardt, U.: The determination of nodes and weights in Wilf quadrature formulas. Abh. Math. Sem. Univ. Hamburg (to appear).

  3. Wilf, H. S.: Exactness conditions in numerical quadrature. Numer. Math.6, 315–319 (1964).

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Authors and Affiliations

  1. Institut für Geometrie und praktische Mathematik, RWTH Aachen, Templergraben 55, D-5100, Aachen, Federal Republic of Germany

    H. Engels

  2. Zentralinstitut für Angewandte Mathematik, KFA Jülich, D-5170, Jülich, Federal Republic of Germany

    U. Eckhardt

Authors
  1. H. Engels
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  2. U. Eckhardt
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Engels, H., Eckhardt, U. Algorithm 33 Wilf-quadrature. Computing 18, 271–279 (1977). https://doi.org/10.1007/BF02253214

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  • DOI: https://doi.org/10.1007/BF02253214

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