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Cubature formulas of the seventh precision degree for the hypercube

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Abstract

In the paper, cubature formulas for calculation of an integral along the hypercube are constructed. These formulas are invariant under the group of all transformations of the hyperoctahedron and precise for all polynomials of degree less than or equal to 7. Bibliography: 2 titles

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Literature Cited

  1. I. P. Mysovskikh,Interpolation Cubature Formulas [in Russian], Moscow (1981).

  2. A. N. Stroud,Approximate Calculation of Multiple Integrals, Prentice-Hall, Englewood Cliffs, New Jersey (1971).

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Authors
  1. S. B. Stoyanova
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Additional information

Translated by B. M. Bekker.

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 202, 1992, pp. 110–115.

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Stoyanova, S.B. Cubature formulas of the seventh precision degree for the hypercube. J Math Sci 79, 1101–1104 (1996). https://doi.org/10.1007/BF02366130

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  • DOI: https://doi.org/10.1007/BF02366130

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