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Construction of the optimal set of two or three quadrature rules in the sense of Borges

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Abstract

In this paper, we investigate a numerical method for the construction of an optimal set of quadrature rules in the sense of Borges (Numer. Math. 67, 271–288, 1994) for two or three definite integrals with the same integrand and interval of integration, but with different weight functions, related to an arbitrary multi-index. The presented method is illustrated by numerical examples.

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Authors and Affiliations

  1. Faculty of Science, University of Kragujevac, Radoja Domanovića 12, 34000, Kragujevac, Serbia

    Tatjana V. Tomović & Marija P. Stanić

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  1. Tatjana V. Tomović
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  2. Marija P. Stanić
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Correspondence to Tatjana V. Tomović.

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The authors were supported in part by the Serbian Ministry of Education, Science and Technological Development (grant numbers #174015)

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Tomović, T.V., Stanić, M.P. Construction of the optimal set of two or three quadrature rules in the sense of Borges. Numer Algor 78, 1087–1109 (2018). https://doi.org/10.1007/s11075-017-0414-x

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  • DOI: https://doi.org/10.1007/s11075-017-0414-x

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