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A historical note on Gauss–Kronrod quadrature

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Summary

The idea of Gauss–Kronrod quadrature, in a germinal form, is traced back to an 1894 paper of R. Skutsch.

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References

  1. Baillaud, B., Bourget, H.: Correspondance d’Hermite et de Stieltjes I, II, Gauthier-Villars, Paris, 1905

  2. Kronrod, A.S.: Integration with control of accuracy (Russian), Dokl. Akad. Nauk SSSR 154, 283–286 (1964)

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  3. Kronrod, A.S. 1964. Nodes and weights for quadrature formulae. Sixteen-place tables (Russian), Izdat. Nauka, Moscow. [English translation in: Consultants Bureau, New York, 1965]

  4. Monegato, Giovanni: An overview of results and questions related to Kronrod schemes. In: Numerische Integration, G. Hämmerlin (ed.), Internat. Ser. Numer. Math. Birkhäuser, Basel, 45, 231–240 (1979)

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  5. Skutsch, Rudolf: Ueber Formelpaare der mechanischen Quadratur. Arch. Math. Phys. 13(2), 78–83 (1894)

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Authors and Affiliations

  1. Department of Computer Sciences, Purdue University, West Lafayette, IN, 47907-2066, USA

    Walter Gautschi

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  1. Walter Gautschi
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Correspondence to Walter Gautschi.

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Gautschi, W. A historical note on Gauss–Kronrod quadrature. Numer. Math. 100, 483–484 (2005). https://doi.org/10.1007/s00211-005-0592-7

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  • DOI: https://doi.org/10.1007/s00211-005-0592-7

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