The Riccati method for sound propagation in ocean

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)61-64
Journal / PublicationZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume76
Issue numberSUPPL. 4
Publication statusPublished - 1996
Externally publishedYes

Abstract

The Riccati equation for the Dirichlet-to-Neumann map is derived from the exact factorization of the two dimensional variable coefficient Helmholtz equation. A numerical scheme is developed for the Riccati equation based on a local eigenfunction expansion. The efficiency and accuracy of the method is demonstrated by numerical experiments including the plane-parallel range-dependent waveguide benchmark problem proposed by the Acoustical Society of America.

Citation Format(s)

The Riccati method for sound propagation in ocean. / Lu, Y. Y.; Mclaughlin, J. R.
In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, Vol. 76, No. SUPPL. 4, 1996, p. 61-64.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review