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Mathematics of Computation

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Parameters for integrating periodic functions of several variables


Author: Seymour Haber
Journal: Math. Comp. 41 (1983), 115-129
MSC: Primary 65D32; Secondary 41A55
DOI: https://doi.org/10.1090/S0025-5718-1983-0701628-X
MathSciNet review: 701628
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Abstract: A number-theoretical method for numerical integration of periodic functions of several variables was developed some years ago. This paper presents lists of numerical parameters to be used in implementing that method. The parameters define quadrature formulas for functions of 2, 3, ..., 8 variables; error bounds for those formulas are also tabulated. The derivation of the parameters and error bounds is described.


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DOI: https://doi.org/10.1090/S0025-5718-1983-0701628-X
Article copyright: © Copyright 1983 American Mathematical Society