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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 8, Pages 1278–1286
DOI: https://doi.org/10.31857/S0044466921080056 (Mi zvmmf11275) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Ordinary differential equations

New approach to the iterative method for numerical solution of a convolution type equation determined for a certain class of problems

M. L. Maslakov

Russian Institute for Power Radioengineering, 199178, St. Petersburg, Russia
Citations (2)
DOI: https://doi.org/10.31857/S0044466921080056
Abstract: This article proposes a new iterative method for numerical solution of the convolution equation. A modification of this method for effective input data filtering is also performed. Variants of a stopping criterion for the chosen iterative algorithm are analyzed. We consider a class of problems for which this method is quite efficient. The results of numerical experiments are also presented in this paper.
Key words: iterative method, integral equation of convolution type, ill-posed problem, stopping criterion.
Received: 23.01.2020
Revised: 23.01.2020
Accepted: 09.04.2021
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 8, Pages 1260–1268
DOI: https://doi.org/10.1134/S0965542521080054
Bibliographic databases:
Document Type: Article
UDC: 519.642
Language: Russian
Citation: M. L. Maslakov, “New approach to the iterative method for numerical solution of a convolution type equation determined for a certain class of problems”, Zh. Vychisl. Mat. Mat. Fiz., 61:8 (2021), 1278–1286; Comput. Math. Math. Phys., 61:8 (2021), 1260–1268
Citation in format AMSBIB
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\by M.~L.~Maslakov
\paper New approach to the iterative method for numerical solution of a convolution type equation determined for a certain class of problems
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2021
\vol 61
\issue 8
\pages 1278--1286
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\crossref{https://doi.org/10.31857/S0044466921080056}
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\transl
\jour Comput. Math. Math. Phys.
\yr 2021
\vol 61
\issue 8
\pages 1260--1268
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  • https://www.mathnet.ru/eng/zvmmf/v61/i8/p1278
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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