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Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2012, Volume 15, Number 2, Pages 205–211 (Mi sjvm472)  
This article is cited in 1 scientific paper (total in 1 paper)

Singular value decomposition in the source problem

S. I. Kabanikhinab, O. I. Krivorotkob

a Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University, Novosibirsk
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Abstract: Inverse source problem for the wave equation is considered. The additional information is measured on different parts of the boundary. The degree of ill-posedness of the inverse problem is investigated. Numerical algorithm which is based on the SVD of the discrete inverse problem is constructed and tested.
Key words: inverse source problem, singular value decomposition, degree of ill-posedness.
Received: 06.10.2011
English version:
Numerical Analysis and Applications, 2012, Volume 5, Issue 2, Pages 168–174
DOI: https://doi.org/10.1134/S1995423912020115
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: S. I. Kabanikhin, O. I. Krivorotko, “Singular value decomposition in the source problem”, Sib. Zh. Vychisl. Mat., 15:2 (2012), 205–211; Num. Anal. Appl., 5:2 (2012), 168–174
Citation in format AMSBIB
\Bibitem{KabKri12}
\by S.~I.~Kabanikhin, O.~I.~Krivorotko
\paper Singular value decomposition in the source problem
\jour Sib. Zh. Vychisl. Mat.
\yr 2012
\vol 15
\issue 2
\pages 205--211
\mathnet{http://mi.mathnet.ru/sjvm472}
\transl
\jour Num. Anal. Appl.
\yr 2012
\vol 5
\issue 2
\pages 168--174
\crossref{https://doi.org/10.1134/S1995423912020115}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862136269}
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  • https://www.mathnet.ru/eng/sjvm/v15/i2/p205
    • This publication is cited in the following 1 articles:
    1. Olga Krivorotko, Sergey Kabanikhin, “Artificial intelligence for COVID-19 spread modeling”, Journal of Inverse and Ill-posed Problems, 32:2 (2024), 297  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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    Full-text PDF :163
    References:82
    First page:29
     
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