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Article information
2004 , Volume 9, Special issue, p.102-110
Osipov N.N., Petrov A.V.
Construction of sequences of lattice rules that are exact for trigonometric polynomials in four variables
In the four-dimensional case for any integer r (-14 <= r <= 1 ) a sequence of lattice rules with trigonometric d(k)-property is constructed, where d(k)=16k+r. The efficiency of all sequences is equal to . The extreme lattice of a hyperoctahedron in is presented.
Classificator Msc2000:- *65D32 Quadrature and cubature formulas
- 41A55 Approximate quadratures
Keywords: lattice cubature formula, d-property, matrix, multiple integration
Author(s):
Osipov N.N.
PhD. , Associate Professor
Position: person working for doctors degree
Address: 660074, Russia, Krasnoyarsk
Phone Office: (3912) 49-76-46
E-mail: osipov@fivt.krasn.ru
Petrov Anton Vladimirovich
Position: Student
Office: Krasnoyarsk state technical university
Address: 660074, Russia, Krasnoyarsk
Phone Office: (3912) 46 76 46
E-mail: Noskov@fivt.krasn.ru
Bibliography link:
Osipov N.N., Petrov A.V. Construction of sequences of lattice rules that are exact for trigonometric polynomials in four variables // Computational technologies. 2004. V. 9. Special issue. Selected papers presented at VII International workshop “Cubature formulae and their applications”. Krasnoyarsk, August 2003. P. 102-110
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