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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.


Symmetric integration rules for hypercubes. II. Rule projection and rule extension
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by J. N. Lyness PDF
Math. Comp. 19 (1965), 394-407 Request permission


A theory is described which facilitates the construction of highdimensional integration rules. It is found that, for large $n$, an $n$-dimensional integration rule of degree $2t + 1$ man be constructed requiring a number of function evaluations of order ${2^t}{n^t}/t!$. In an example we construct a $15$-dimensional rule of degree 9 which requires 52,701 function evaluations. The corresponding number for the product Gaussian is $3 \times {10^{10}}$.
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Additional Information
  • © Copyright 1965 American Mathematical Society
  • Journal: Math. Comp. 19 (1965), 394-407
  • MSC: Primary 65.55
  • DOI:
  • MathSciNet review: 0201068