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Method for Calculating Surface Rayleigh Waves in a Vertically Inhomogeneous Half-Space

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Computational Seismology

Abstract

As is well-known [1], displacements in Rayleigh waves are expressed in terms of the eigenvalues and eigenfunctions of the following boundary value problem.

Translated from Vychislitel’naya Seismologiya, No. 2, Moscow, Nauka (1966), pp. 121–129.

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Literature Cited

  1. Andrianova, Z. S., V. I. Keilis-Borok, A. L. Levshin, and M. G. Neigauz (1965), Surface Love Waves, Moscow, Nauka [English translation: Seismic Love Waves, New York, Consultants Bureau, 1967].

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  2. Gel’fand, I. M., and O. V. Lokutsievskii (1962), “The pursuit method for solving difference equations,” in: (S. K. Godunov and V. S. Ryaben’kii, eds.), Introduction to the Theory of Difference Schemes, Moscow, Fizmatgiz.

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  3. Lidskii, V. B., and M. G. Neigauz (1962), “Pursuit method in the case of a second-order self-adjoint system,” Zh. vychisl. matem. i matem. fiz., 2(1):161–165.

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  4. Godunov, S. K., and V. S. Ryaben’kii (1962), Introduction to the Theory of Difference Schemes, Moscow, Fizmatgiz.

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  5. Keilis-Borok, V. I., M. G. Neigauz, and G. V. Shkadinskaya (1965), “Application of the theory of eigenfunctions to the calculation of surface wave velocities,” Revs. Geophys., 3:105–110.

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© 1972 Consultants Bureau, New York

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Neigauz, M.G., Shkadinskaya, G.V. (1972). Method for Calculating Surface Rayleigh Waves in a Vertically Inhomogeneous Half-Space. In: Keilis-Borok, V.I., Flinn, E.A. (eds) Computational Seismology. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-8815-9_11

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  • DOI: https://doi.org/10.1007/978-1-4684-8815-9_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-8817-3

  • Online ISBN: 978-1-4684-8815-9

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