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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 8, Pages 1363–1369 (Mi zvmmf9518)  
This article is cited in 1 scientific paper (total in 1 paper)

Optimality parameter of Korobov parallelepipedal grids for cubature formulas

V. A. Bykovskiia, S. V. Gassanb

a Institute of Applied Mathematics (Khabarovsk Branch), Far East Branch, Russian Academy of Sciences, ul. Dzerzhinskogo 54, Khabarovsk, 680000 Russia
b Institute of Applied Mathematics, Far East Branch, Russian Academy of Sciences, ul. Radio 7, Vladivostok, 690041 Russia
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Abstract: When multiple integrals are approximately evaluated using Korobov cubature formulas, it is necessary to introduce a parameter characterizing the uniform distribution of the grid nodes. A new parameter for Korobov parallelepipedal grids is proposed, and an algorithm for its computation is described.
Key words: number, theoretic method for evaluation of multiple integrals, Korobov grids, Bakhvalov optimality parameter.
Received: 17.05.2010
Revised: 28.02.2011
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 8, Pages 1273–1279
DOI: https://doi.org/10.1134/S0965542511080057
Bibliographic databases:
Document Type: Article
UDC: 519.644.7
Language: Russian
Citation: V. A. Bykovskii, S. V. Gassan, “Optimality parameter of Korobov parallelepipedal grids for cubature formulas”, Zh. Vychisl. Mat. Mat. Fiz., 51:8 (2011), 1363–1369; Comput. Math. Math. Phys., 51:8 (2011), 1273–1279
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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