BIT Numerical Mathematics

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

Seventh degree integration rules for the sphere

  • G. M. Phillips
Scientific Notes


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


Computational Mathematic Integration Point Integration Rule Degree Integration Seventh Degree 
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  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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