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Error bounds for the method of good lattice points


Authors: Shaun Disney and Ian H. Sloan
Journal: Math. Comp. 56 (1991), 257-266
MSC: Primary 65D32
DOI: https://doi.org/10.1090/S0025-5718-1991-1052090-6
MathSciNet review: 1052090
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Abstract: New error bounds are obtained for the method of good lattice points for multidimensional quadrature, when m, the number of quadrature points, is prime. One of these bounds reduces the constant in Niederreiter's asymptotic error bound, if the dimension exceeds 2. Together they give very much smaller numerical bounds for all values of m.


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DOI: https://doi.org/10.1090/S0025-5718-1991-1052090-6
Article copyright: © Copyright 1991 American Mathematical Society