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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 1, Pages 14–25 (Mi zvmmf50)  
This article is cited in 11 scientific papers (total in 11 papers)

Application of divisor theory to the construction of tables of optimal coefficients for quadrature formulas

A. Zh. Zhubanysheva, N. Temirgaliev, Zh. N. Temirgalieva

Eurasian National University, ul. Munaitpasova 5, Astana, 473021, Kazakhstan
Full-text PDF (1378 kB) Citations (11)
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Abstract: Based on the theory of divisors, an effective theoretical algorithm designed previously by the authors for constructing good quadrature formulas with a Korobov grid (i.e., an algorithm for finding optimal coefficients) is used to develop a computer search method that produces tables of optimal coefficients giving more accurate integration error estimates with a smaller number of nodes than in all previously known cases.
Key words: discrepancy, uniformly distributed grids, Korobov grids, optimal coefficients, quadrature formulas, divisor theory, lattice, ideal, extreme function of a class, numerical experiments.
Received: 03.06.2007
Revised: 29.04.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 1, Pages 12–22
DOI: https://doi.org/10.1134/S0965542509010023
Bibliographic databases:
Document Type: Article
UDC: 519.644
Language: Russian
Citation: A. Zh. Zhubanysheva, N. Temirgaliev, Zh. N. Temirgalieva, “Application of divisor theory to the construction of tables of optimal coefficients for quadrature formulas”, Zh. Vychisl. Mat. Mat. Fiz., 49:1 (2009), 14–25; Comput. Math. Math. Phys., 49:1 (2009), 12–22
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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