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Differentsial'nye Uravneniya, 2004, Volume 40, Number 9, Pages 1256–1270 (Mi de11144)  
This article is cited in 4 scientific papers (total in 4 papers)

Numerical methods

Integral equations and sound propagation in a shallow sea

I. K. Lifanova, S. L. Stavtsevb

a N.E. Zhukovsky Military Engineering Academy
b Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow
Full-text PDF (2734 kB) Citations (4)
Abstract: The boundary value problem for the Helmholtz equation for the acoustic pressure in a shallow sea can be reduced to a system of integral equations (some of which can be hypersingular). We suggest a numerical method for solving this system. In this approach to the numerical solution of the sound propagation problem in a shallow sea, the surfaces of the sea, the seabed, and the layers can have an arbitrary geometric structure.
Received: 15.03.2004
English version:
Differential Equations, 2004, Volume 40, Issue 9, Pages 1330–1344
DOI: https://doi.org/10.1007/s10625-005-0012-x
Bibliographic databases:
Document Type: Article
UDC: 519.642
Language: Russian
Citation: I. K. Lifanov, S. L. Stavtsev, “Integral equations and sound propagation in a shallow sea”, Differ. Uravn., 40:9 (2004), 1256–1270; Differ. Equ., 40:9 (2004), 1330–1344
Citation in format AMSBIB
\Bibitem{LifSta04}
\by I.~K.~Lifanov, S.~L.~Stavtsev
\paper Integral equations and sound propagation in a shallow sea
\jour Differ. Uravn.
\yr 2004
\vol 40
\issue 9
\pages 1256--1270
\mathnet{http://mi.mathnet.ru/de11144}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2199977}
\transl
\jour Differ. Equ.
\yr 2004
\vol 40
\issue 9
\pages 1330--1344
\crossref{https://doi.org/10.1007/s10625-005-0012-x}
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  • https://www.mathnet.ru/eng/de11144
  • https://www.mathnet.ru/eng/de/v40/i9/p1256
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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