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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Integration rules of hypercubic symmetry over a certain spherically symmetric space
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by J. N. Lyness PDF
Math. Comp. 19 (1965), 471-476 Request permission


A theory of integration rules suitable for integration over a hypercube and having hypercubic symmetry has recently been published. In this paper it is found that, with minor modification, this theory may be directly applied to obtain integration rules of hypercubic symmetry suitable for integration over a complete $n$-dimensional space with the weight function $\exp ( - {x_1}^2 - {x_2}^2 \cdot \cdot \cdot - {x_n}^2)$. As in the case of integration over hypercubes, an $n$-dimensional rule of degree $2t + 1$ may be constructed requiring a number of function evaluations of order ${2^t}{n^t}/t!$, only.
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Additional Information
  • © Copyright 1965 American Mathematical Society
  • Journal: Math. Comp. 19 (1965), 471-476
  • MSC: Primary 65.55
  • DOI:
  • MathSciNet review: 0201070