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The number of lattice rules

Authors:

Institution:

1. Mathematics and Computer Science Division, Argonne National Laboratory, 9700 South Cass Avenue, 60439-4801, Argonne, IL, USA

Abstract:

A lattice rule is a quadrature rule for integration over ans-dimensional hypercube that employsN abscissas located on a lattice, chosen to conform to certain specifications. In this paper we determine the numberv _s(N) of distinctN-points-dimensional lattice rules. We show that, in general,

$v_s (MN) \leqslant v_s (M)v_s (N),$

Keywords:	AMS Classification" target="_blank">AMS Classification 65D30 65D32
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