Parameters for integrating periodic functions of several variables

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;...

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Veröffentlicht in:Mathematics of computation 1983-07, Vol.41 (163), p.115-129
1. Verfasser: Haber, Seymour
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0025-5718
1088-6842
DOI:10.1090/S0025-5718-1983-0701628-X