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Sibirskii Zhurnal Industrial'noi Matematiki, 2015, Volume 18, Number 2, Pages 99–110
DOI: https://doi.org/10.17377/sibjim.2015.18.210 (Mi sjim886) 		 
This article is cited in 14 scientific papers (total in 14 papers)

On a problem of reconstructing the bottom configuration of a fluctuating ocean

I. V. Prokhorovab, A. A. Sushchenkoab, V. A. Kanba

a Institute of Applied Mathematics FEB RAS, 7 Radio st., 690041 Vladivostok
b Far Eastern Federal University, 8 Sukhanova st., 690950 Vladivostok
Full-text PDF (639 kB) Citations (14)
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DOI: https://doi.org/10.17377/sibjim.2015.18.210
Abstract: We formulated and investigate an inverse problem for nonstationary radiative transfer equation in application to the acoustic map making of the sea bottom with the use of side-scan sonars. In the single scattering approximation, we obtain a formula for determining the function that describes the small deviation of the surface from the bottom from a medium level.
Keywords: radiative transfer equation, inverse problems, bottom configuration, single-scattering approximation.
Received: 24.03.2015
English version:
Journal of Applied and Industrial Mathematics, 2015, Volume 9, Issue 3, Pages 412–422
DOI: https://doi.org/10.1134/S1990478915030126
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: I. V. Prokhorov, A. A. Sushchenko, V. A. Kan, “On a problem of reconstructing the bottom configuration of a fluctuating ocean”, Sib. Zh. Ind. Mat., 18:2 (2015), 99–110; J. Appl. Industr. Math., 9:3 (2015), 412–422
Citation in format AMSBIB
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\by I.~V.~Prokhorov, A.~A.~Sushchenko, V.~A.~Kan
\paper On a~problem of reconstructing the bottom configuration of a~fluctuating ocean
\jour Sib. Zh. Ind. Mat.
\yr 2015
\vol 18
\issue 2
\pages 99--110
\mathnet{http://mi.mathnet.ru/sjim886}
\crossref{https://doi.org/10.17377/sibjim.2015.18.210}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3549832}
\elib{https://elibrary.ru/item.asp?id=23598681}
\transl
\jour J. Appl. Industr. Math.
\yr 2015
\vol 9
\issue 3
\pages 412--422
\crossref{https://doi.org/10.1134/S1990478915030126}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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