Smirnova, N. S. An algorithm for determining wave fields in multilayer elastic media. (English. Russian original) Zbl 0835.73015 J. Math. Sci., New York 73, No. 3, 397-407 (1995); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 186, 154-171, 153 (1990). See the review in Zbl 0737.73031. Cited in 4 Documents MSC: 74J10 Bulk waves in solid mechanics Keywords:multiply reflected waves of \(P\) and \(S\) types Citations:Zbl 0737.73031 × Cite Format Result Cite Review PDF Full Text: DOI References: [1] T. W. Spencer, ”Refraction along a layer,”Geophysics,30, No. 3, 369–388 (1965). · doi:10.1190/1.1439586 [2] G. I. Petrashen and T. I. Vavilova, ”Calculation of the intensities of multiple sum waves in multilayer media for any arrangement of source and detector,” in:Problems in the Dynamic Theory of Seismic Wave Propagation,9, 77–96 (1968). [3] F. Hron, ”Numerical methods of ray generation in multilayer media,”Meth. Comput. Physics,12, 1–34 (1972). [4] G. I. Petrashen and E. M. Ledovskaya, ”General theory of fields of multiple waves in multilayer media with plane parallel interfaces,” in:Problems in the Dynamic Theory of Seismic Wave Propagation,19, 5–48 (1979). [5] E. M. Ledovskaya, ”On program for computing theoretical seismograms of a total sum field of multiple reflected waves in a three-layer medium,” in:Problems in the Dynamic Theory of Seismic Wave Propagation,20, 75–78 (1981). [6] E. M. Ledovskaya, ”On program for constructing theoretical seismograms of a total sum field of multiple waves reflected from an inclined pack of three layers buried in a medium,” in:Problems in the Dynamic Theory of Seismic Wave Propagation,24, 129–138 (1984). [7] G. I. Petrashen, N. S. Smirnova, and E. M. Ledovskaya, ”Calculation of wave fields in media containing thin plane parallel elastic layers. I,” in:Problems in the Dynamic Theory of Seismic Wave Propagation,26, 5–88 (1987). [8] M. V. Alekseeva, ”Mathematically modelling a seismic field in multilayer elastic medium (in the limits of the ray method),” [in Russian], (Preprint), No. 729, Novosibirsk (1987). [9] N. S. Smirnova, ”On a fast method for computing the field of waves reflected by a thin elastic layer,”Mathematical Problems in the Theory of Wave Propagation, 19, Zap. Nauchn. Semin. LOMI,179, 152–162 (1989). · Zbl 0724.73060 [10] D. E. Knuth, The Art of Computer Pogramming, Fundamental algorithms, Vol. 1, Addison-Westey Reading, MA (1974). [11] N. S. Smirnova, ”Modelling the field of waves reflected by a thin elastic layer,” in:Problems in the Dynamic Theory of Seismic Wave Propagation,28, 38–45 (1989). [12] Abstracts, Quantitative Study of Seismic Wave Dynamics II [in Russian], Leningrad (1957). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.