Construction of Lattice Rules with a Trigonometric d-Property on the Basis of Extreme Lattices

Описание

Тип публикации: статья из журнала

Год издания: 2008

Идентификатор DOI: 10.1134/S0965542508020048

Ключевые слова: lattice rules; lattice rules optimal with respect to the number of points; trigonometric d-property, Lattice rules, Lattice rules optimal with respect to the number of points, Trigonometric d-property

Аннотация: Lattice rules with the trigonometric d-property that are optimal with respect to the number of points are constructed for the approximation of integrals over an n-dimensional unit cube. An extreme lattice for a hyperoctahedron at n = 4 is used to construct lattice rules with the trigonometric d-property and the number of points 0.8Показать полностью0822... Delta(4) (1 + o(1)), Delta -> infinity (d = 2 Delta - 1 >= 3 is an arbitrary odd number). With few exceptions, the resulting lattice rules have the highest previously known effectiveness factor.

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Издание

Журнал: Computational Mathematics and Mathematical Physics

Выпуск журнала: Vol. 48, Is. 2

Номера страниц: 201-208

ISSN журнала: 09655425

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