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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 9, Pages 1594–1604 (Mi zvmmf412)  
This article is cited in 6 scientific papers (total in 6 papers)

Discretization of the solutions to Poisson's equation

E. A. Bailov, N. Temirgaliev

Eurasian National University, ul. Munaitpasova 5, Astana, 473021, Kazakhstan
Full-text PDF (1002 kB) Citations (6)
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Abstract: Sharp estimates (in the power scale) are obtained for the discretization error in the solutions to Poisson's equation whose right-hand side belongs to a Korobov class. Compared to the well-known Korobov estimate, the order is almost doubled and has an ultimate value in the power scale.
Key words: discretization of Poisson's equation, estimates of the discretization error sharp in the power scale, number-theoretic methods.
Received: 12.01.2004
Revised: 07.04.2006
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 9, Pages 1515–1525
DOI: https://doi.org/10.1134/S0965542506090053
Bibliographic databases:
Document Type: Article
UDC: 519.632.4
Language: Russian
Citation: E. A. Bailov, N. Temirgaliev, “Discretization of the solutions to Poisson's equation”, Zh. Vychisl. Mat. Mat. Fiz., 46:9 (2006), 1594–1604; Comput. Math. Math. Phys., 46:9 (2006), 1515–1525
Citation in format AMSBIB
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\by E.~A.~Bailov, N.~Temirgaliev
\paper Discretization of the solutions to Poisson's equation
\jour Zh. Vychisl. Mat. Mat. Fiz.
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\vol 46
\issue 9
\pages 1594--1604
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\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 9
\pages 1515--1525
\crossref{https://doi.org/10.1134/S0965542506090053}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33749037130}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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