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Quadrature rules for rational functions

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Summary. It is shown how recent ideas on rational Gauss-type quadrature rules can be extended to Gauss-Kronrod, Gauss-Turán, and Cauchy principal value quadrature rules. Numerical examples illustrate the advantages in accuracy thus achievable.

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Authors and Affiliations

  1. Department of Computer Sciences, Purdue University, West Lafayette, IN 47907-1398, USA , , , , , , US

    Walter Gautschi

  2. Dipartimento MeMoMat, Università di Roma “La Sapienza”, Via A. Scarpa 16, 00161 Roma, Italy , , , , , , IT

    Laura Gori & M. Laura Lo Cascio

Authors
  1. Walter Gautschi
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  2. Laura Gori
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  3. M. Laura Lo Cascio
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Received June 21, 1999 / Revised version received September 14, 1999 / Published online June 21, 2000

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Gautschi, W., Gori, L. & Lo Cascio, M. Quadrature rules for rational functions. Numer. Math. 86, 617–633 (2000). https://doi.org/10.1007/PL00005412

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  • DOI: https://doi.org/10.1007/PL00005412

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