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Seventh degree integration rules for R3

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Abstract

One-parameter families of rules are derived with all weights positive for integrals over the whole of three-dimensional space with weight functions exp (−r 2) and exp (−r).

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References

  1. I. P. Mysovskih,On the construction of cubature formulas for the simplest regions (in Russian), Z. Vycisl. Mat. i. Mat. Fiz. 4 (1964), 3.

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  2. G. M. Phillips,Seventh degree integration rules for the cube, BIT 19 (1979), 98.

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  3. G. M. Phillips,Seventh degree integration rules for the sphere, BIT 20 (1980), 117.

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  4. A. H. Stroud,Approximate Calculation of Multiple Integrals, Prentice-Hall, 1971.

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Authors and Affiliations

  1. The Mathematical Institute, University of St. Andrews, St. Andrews, Scotland

    G. M. Phillips

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  1. G. M. Phillips
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Phillips, G.M. Seventh degree integration rules for R3 . BIT 21, 126–128 (1981). https://doi.org/10.1007/BF01934079

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  • DOI: https://doi.org/10.1007/BF01934079

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