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Asymptotic methods in problems of the propagation of sound in oceanic waveguides and their numerical realization. (English) Zbl 0531.76089

Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 117, 39-77 (Russian) (1981; Zbl 0482.76078).

MSC:

76Q05 Hydro- and aero-acoustics
86A05 Hydrology, hydrography, oceanography
76-02 Research exposition (monographs, survey articles) pertaining to fluid mechanics

Citations:

Zbl 0482.76078
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References:

[1] Wave Propagation and Submarine Acoustics [in Russian], Moscow (1980).
[2] L. M. Brekhovskikh, Waves in Layered Media, Academic Press (1966). · Zbl 0558.73018
[3] Yu. A. Kravtsov and Yu. I. Orlov, Geometric Optics of Inhomogeneous Media [in Russian], Nauka, Moscow (1980).
[4] V. I. Arnol’d, Mathematical Methods of Classical Mechanics [in Russian], Moscow (1974).
[5] M. K. Gavurin, ?Nonlinear functional equations and continuous analogues of iterative methods,? Izv. Vyssh. Uchebn. Zaved., Mat., No, 5, 18?31 (1958).
[6] E. P. Zhidkov, G. I. Makarenko, and I. V. Puzynin, ?A continuous analogue of Newton’s method in nonlinear problems of physics,? in: Probl. Fiz. Elementarnykh Chastits i At. Yadra,4, No. 1, Moscow (1973), pp. 127?166.
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