Geodesic
Integral equations and sound propagation in a shallow sea
Differencialʹnye uravneniâ, Tome 40 (2004) no. 9, pp. 1256-1270 
I. K. Lifanov; S. L. Stavtsev. Integral equations and sound propagation in a shallow sea. Differencialʹnye uravneniâ, Tome 40 (2004) no. 9, pp. 1256-1270. http://geodesic.mathdoc.fr/item/DE_2004_40_9_a11/
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     author = {I. K. Lifanov and S. L. Stavtsev},
     title = {Integral equations and sound propagation in a shallow sea},
     journal = {Differencialʹnye uravneni\^a},
     pages = {1256--1270},
     year = {2004},
     volume = {40},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DE_2004_40_9_a11/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.