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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2004, Volume 7, Number 2, Pages 125–134 (Mi sjvm150)  

This article is cited in 1 scientific paper (total in 1 paper)

Minimal and almost minimal rank 1 lattice rules, exact on trigonometric polynomials in two variables

M. V. Noskov, N. N. Osipov

Krasnoyarsk State Technical University
Full-text PDF (584 kB) Citations (1)
References:
Abstract: Two-dimensional rank 1 lattice rules of trigonometric degree $d$ $(d\geq 1)$ are characterized. The number of nodes of these cubature formulas is minimal or differs from minimal by one for even $d$, or by two for odd $d$.
Key words: minimal cubature formula, lattice rule of trigonometric degree $d$.
Received: 03.02.2003
Revised: 17.06.2003
Bibliographic databases:
UDC: 518:517.392
Language: Russian
Citation: M. V. Noskov, N. N. Osipov, “Minimal and almost minimal rank 1 lattice rules, exact on trigonometric polynomials in two variables”, Sib. Zh. Vychisl. Mat., 7:2 (2004), 125–134
Citation in format AMSBIB
\Bibitem{NosOsi04}
\by M.~V.~Noskov, N.~N.~Osipov
\paper Minimal and almost minimal rank~1 lattice rules, exact on trigonometric polynomials in two variables
\jour Sib. Zh. Vychisl. Mat.
\yr 2004
\vol 7
\issue 2
\pages 125--134
\mathnet{http://mi.mathnet.ru/sjvm150}
\zmath{https://zbmath.org/?q=an:1052.65013}
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  • https://www.mathnet.ru/eng/sjvm/v7/i2/p125
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Sibirskii Zhurnal Vychislitel'noi Matematiki
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