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Sibirskii Zhurnal Industrial'noi Matematiki, 2018, Volume 21, Number 2, Pages 32–45
DOI: https://doi.org/10.17377/sibjim.2018.21.203 (Mi sjim997) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Development and optimization of randomized functional numerical methods for solving the practically significant Fredholm integral equations of the second kind

A. V. Voytishekab

a Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6 Akad. Lavrentyev av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova str., 630090 Novosibirsk
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DOI: https://doi.org/10.17377/sibjim.2018.21.203
Abstract: Under study are the randomized algorithms for numerical solution of the Fredholm integral equations of the second kind (from the viewpoint of their application for the practically important problems of mathematical physics) are studied. The projection, grid and projection-grid methods are distinguished. Certain advantages of the projection and projection-grid methods are demonstrated (allowing using them for numerical solution of the equations with the integrable singularities in kernels and free terms).
Keywords: applied Fredholm integral equations of the second kind, integrable singularity, numerical randomized functional method, projection, grid, projection-grid functional algorithm.
Received: 12.09.2017
English version:
Journal of Applied and Industrial Mathematics, 2018, Volume 12, Issue 2, Pages 382–394
DOI: https://doi.org/10.1134/S1990478918020187
Bibliographic databases:
Document Type: Article
UDC: 519.676
Language: Russian
Citation: A. V. Voytishek, “Development and optimization of randomized functional numerical methods for solving the practically significant Fredholm integral equations of the second kind”, Sib. Zh. Ind. Mat., 21:2 (2018), 32–45; J. Appl. Industr. Math., 12:2 (2018), 382–394
Citation in format AMSBIB
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\paper Development and optimization of randomized functional numerical methods for solving the practically significant Fredholm integral equations of the second kind
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\vol 21
\issue 2
\pages 32--45
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\jour J. Appl. Industr. Math.
\yr 2018
\vol 12
\issue 2
\pages 382--394
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85047790167}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал индустриальной математики
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