Skip to main content
SpringerLink
Log in

Asymptotic methods in problems of the propagation of sound in oceanic waveguides and their numerical realization

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

Abstract

The paper contains a survey of a number of results on the topic indicated in the title.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literature cited

  1. Wave Propagation and Submarine Acoustics [in Russian], Moscow (1980).

  2. L. M. Brekhovskikh, Waves in Layered Media, Academic Press (1966).

  3. Yu. A. Kravtsov and Yu. I. Orlov, Geometric Optics of Inhomogeneous Media [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  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).

    Google Scholar 

  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.

    Google Scholar 

Download references

Authors
  1. V. S. Buldyrev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. S. Buslaev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 117, pp. 39–77, 1981.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Buldyrev, V.S., Buslaev, V.S. Asymptotic methods in problems of the propagation of sound in oceanic waveguides and their numerical realization. J Math Sci 24, 290–313 (1984). https://doi.org/10.1007/BF01086989

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01086989

Keywords

Search

Navigation