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B. G. Mikhailenko, A. A. Mikhailov and G. V. Reshetova, “Numerical Modeling of Transient Seismic Fields in Viscoelastic Media Based on the Laguerre Spectral Method,” Journal Pure and Applied Geophysics, Vol. 160, No. 7, 2003, pp. 1207-1224. http://dx.doi.org/10.1007/s000240300002

has been cited by the following article:

• TITLE: Numerical Simulation of Acoustic-Gravity Waves Propagation in a Heterogeneous Earth-Atmosphere Model with Wind in the Atmosphere

  AUTHORS: B. G. Mikhailenko, A. A. Mikhailov, G. V. Reshetova

  KEYWORDS: Seismic Waves; Acoustic-Gravity Waves; Navier-Stokes Equations; Laguerre Transform; Finite Difference Method

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.1 No.4, November 6, 2013

  ABSTRACT: A numerical-analytical solution for seismic and acoustic-gravity waves propagation is applied to a heterogeneous “Earth-Atmosphere” model. Seismic wave propagation in an elastic half-space is described by a system of first order dynamic equations of elasticity theory. Propagation of acoustic-gravity waves in the atmosphere is described by the linearized Navier-Stokes equations with the wind. The algorithm proposed is based on the integral Laguerre transform with respect to time, the finite integral Fourier transform along the spatial coordinate with the finite difference solution of the reduced problem.