Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 6, Pages 59–62 (Mi vmumm112)  
This article is cited in 2 scientific papers (total in 2 papers)

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A cubature formula for periodic functions

V. N. Chubarikov, M. L. Sharapova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (304 kB) Citations (2)
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Abstract: New many-dimensional cubature formulas are obtained for periodic functions with the use of the Chinese remainder theorem. This allows us to take into account the “equality” of all variables and the “uniformness” of distribution of nodes in numerical integration formulas.
Key words: cubature formulas, Chinese remainder theorem, Fourier series.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00071
Received: 13.03.2017
English version:
Moscow University Mathematics Bulletin, 2017, Volume 72, Issue 6, Pages 255–257
DOI: https://doi.org/10.3103/S0027132217060079
Bibliographic databases:
Document Type: Article
UDC: 511.3
Language: Russian
Citation: V. N. Chubarikov, M. L. Sharapova, “A cubature formula for periodic functions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 6, 59–62; Moscow University Mathematics Bulletin, 72:6 (2017), 255–257
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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