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BIT Numerical Mathematics

, Volume 20, Issue 1, pp 117–119 | Cite as

Seventh degree integration rules for the sphere

  • G. M. Phillips
Scientific Notes

Abstract

A one-parameter family of rules is derived with all weights positive and all integration points within the sphere.

Keywords

Computational Mathematic Integration Point Integration Rule Degree Integration Seventh Degree 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    P. J. Davis and P. Rabinowitz,Methods of Numerical Integration, Academic Press, 1975.Google Scholar
  2. 2.
    I. P. Mysovskih,On the construction of cubature formulas for the simplest regions (in Russian), Z. Vycisl. Mat. i Mat. Fiz. 4 (1964), p. 3.Google Scholar
  3. 3.
    G. M. Phillips,Seventh degree integration rules for the cube, BIT 19 (1979), p. 98.Google Scholar
  4. 4.
    A. H. Stroud,Approximate Calculation of Multiple Integrals, Prentice-Hall, 1971.Google Scholar

Copyright information

© BIT Foundations 1980

Authors and Affiliations

  • G. M. Phillips
    • 1
  1. 1.Mathematical InstituteUniversity of St. AndrewsSt. AndrewsScotland

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