Cubature Rules of Prescribed Merit
نویسنده
چکیده
We introduce a criterion for the evaluation of multidimensional quadrature, or cubature, rules for the hypercube: this is the merit of a rule which is closely related to its trigonometric degree and which reduces to the Zaremba figure of merit in the case of a lattice rule. We derive a family of rules Q k having dimension s and merit 2. These rules seem to be competitive with lattice rules with respect to the merit that can be achieved with a given number of abscissas.
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تاریخ انتشار 1997