Remarks on the disposition of points in numerical integration formulas.

Stroud, A. H.

doi:10.1090/S0025-5718-1957-0093911-3

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)

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Remarks on the disposition of points in numerical integration formulas.
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Math. Comp. 11 (1957), 257-261 Request permission

References

Henry C. Thacher Jr., Optimum quadrature formulas in $s$ dimensions, Math. Tables Aids Comput. 11 (1957), 189–194. MR 90869, DOI 10.1090/S0025-5718-1957-0090869-8
Preston C. Hammer and Arthur H. Stroud, Numerical integration over simplexes, Math. Tables Aids Comput. 10 (1956), 137–139. MR 86390, DOI 10.1090/S0025-5718-1956-0086390-2

Regular Polytopes

G. W. Tyler, Numerical integration of functions of several variables, Canad. J. Math. 5 (1953), 393–412. MR 56379, DOI 10.4153/cjm-1953-044-1