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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 7, Pages 1082–1093
DOI: https://doi.org/10.7868/S004446691307017X (Mi zvmmf9821) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Discretization of solutions to Poisson’s equation in the Korobov class

S. S. Kudaibergenov, S. G. Sabitova

M. O. Auezov South Kazakhstan State University
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DOI: https://doi.org/10.7868/S004446691307017X
Abstract: A sharp discretization error estimate on the power scale is obtained for the solution of Poisson’s equation with a right-hand side from the Korobov class with the application of Smolyak grid nodes. In some cases, the results coincide in the order of the upper error estimate with earlier results of other authors, but the discretization operator proposed is simpler.
Key words: numerical solution of Poisson’s equation, Korobov nodes, optimal coefficients, Korobov class, discretization operator, reconstruction problem, Smolyak nodes, discretization error estimate.
Received: 16.08.2011
Revised: 11.02.2013
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 7, Pages 896–907
DOI: https://doi.org/10.1134/S0965542513070166
Bibliographic databases:
Document Type: Article
UDC: 519.632.4
Language: Russian
Citation: S. S. Kudaibergenov, S. G. Sabitova, “Discretization of solutions to Poisson’s equation in the Korobov class”, Zh. Vychisl. Mat. Mat. Fiz., 53:7 (2013), 1082–1093; Comput. Math. Math. Phys., 53:7 (2013), 896–907
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Æóðíàë âû÷èñëèòåëüíîé ìàòåìàòèêè è ìàòåìàòè÷åñêîé ôèçèêè Computational Mathematics and Mathematical Physics
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