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Parameters for Integrating Periodic Functions of Several Variables
Mathematics of Computation
Vol. 41, No. 163 (Jul., 1983), pp. 115-129
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2007770
Page Count: 15
You can always find the topics here!Topics: Mathematical lattices, Error bounds, Coefficients, Numerical quadratures, Periodic functions, Integrands, Integration tables, Mathematical integrals, Integers, Cartesianism
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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,\ldots, 8 variables; error bounds for those formulas are also tabulated. The derivation of the parameters and error bounds is described.
Mathematics of Computation © 1983 American Mathematical Society