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Matematicheskie Trudy, 2015, Volume 18, Number 2, Pages 49–60
DOI: https://doi.org/10.17377/mattrudy.2015.18.204 (Mi mt293) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Minimal cubature formulas of degree $3$ for a torus in ${\mathbb R}^3$

M. V. Noskov, I. M. Fedotova

Institute of Cosmic and Information Technologies, Krasnoyarsk, Russia
Full-text PDF (187 kB) Citations (3)
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DOI: https://doi.org/10.17377/mattrudy.2015.18.204
Abstract: We construct minimal cubature formulas of degree 3 for a torus in ${\mathbb R}^3$. The cases of a degenerate torus with radius $r=1$ and a torus with arbitrary radius $r>1$ are considered separately.
Key words: cubature formula, torus, reproducing kernel.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.1462.2014/К
Received: 11.02.2015
English version:
Siberian Advances in Mathematics, 2016, Volume 26, Issue 2, Pages 90–98
DOI: https://doi.org/10.3103/S1055134416020024
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: M. V. Noskov, I. M. Fedotova, “Minimal cubature formulas of degree $3$ for a torus in ${\mathbb R}^3$”, Mat. Tr., 18:2 (2015), 49–60; Siberian Adv. Math., 26:2 (2016), 90–98
Citation in format AMSBIB
\Bibitem{NosFed15}
\by M.~V.~Noskov, I.~M.~Fedotova
\paper Minimal cubature formulas of degree~$3$ for a torus in~${\mathbb R}^3$
\jour Mat. Tr.
\yr 2015
\vol 18
\issue 2
\pages 49--60
\mathnet{http://mi.mathnet.ru/mt293}
\crossref{https://doi.org/10.17377/mattrudy.2015.18.204}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3588291}
\elib{https://elibrary.ru/item.asp?id=24639780}
\transl
\jour Siberian Adv. Math.
\yr 2016
\vol 26
\issue 2
\pages 90--98
\crossref{https://doi.org/10.3103/S1055134416020024}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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