9 research outputs found
Spectral Laguerre method for the approximate solution of time dependent problems
AbstractThis paper presents some efficient algorithms based on the spectral Laguerre approximations of temporal derivatives for time dependent problems
The solution of dynamic problems of elastic wave propagation in inhomogeneous media by a combination of partial separation of variables and finite-difference methods
A new method for the calculation of theoretical seismograms, which is suitable for a wide class of inhomogeneous media, is suggested. The method is based on a combination of partial separation of variables with finite-difference techniques. Different variants of the method, based on the application of the Fourier-Bessel transform, finite integral transforms, expansions in Legendre polynomials, etc., are discussed in detail. Examples of theoretical seismograms for various simple structures are presented.
ARK: https://n2t.net/ark:/88439/y045452
Permalink: https://geophysicsjournal.com/article/79