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On computing the lattice rule criterion $R$

1992
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Mathematics of Computation
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Lattice rules are integration rules for approximating integrals of periodic functions over the s-dimensional unit cube. One criterion for measuring the 'goodness' of lattice rules is the quantity R . This quantity is defined as a sum which contains about Ns~l terms, where TV is the number of quadrature points. Although various bounds involving R are known, a procedure for calculating R itself does not appear to have been given previously. Here we show how an asymptotic series can be used to

doi:10.1090/s0025-5718-1992-1134733-2
fatcat:jiosyyodwre7hcglgrklfqjymi