Calculation of seismic displacement fields in self-gravitating earth models—applications of minors vectors and symplectic structure

Al-Attar, David and Woodhouse, John H. (2012) Calculation of seismic displacement fields in self-gravitating earth models—applications of minors vectors and symplectic structure. Geophysical Journal International, 175 (3). pp. 1176-1208.

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Official URL: http://gji.oxfordjournals.org/content/175/3/1176

Abstract

An account is given of the minor vector method that allows for the stable numerical integration of the systems of linear ordinary differential equations occurring in a number of geophysical problems. In particular, new results are presented that allow for the application of the method to the solution of 6-D inhomogeneous boundary value problems, such as those encountered in the calculation of seismic displacement fields in spherically symmetric, self-gravitating earth models. In addition, the symplectic structure possessed by many of the ordinary differential equations of interest is described. It is shown how this structure can be used to simplify the numerical implementation of the minor vector method and also to concisely derive a number of theoretical results about the eigenfrequencies and eigenfunctions of a linearly anelastic earth model.

Item Type: Article
Additional Information: This article has been accepted for publication in Geophysical Journal International ©:2008 David Al-Attar and John H. Woodhouse Published by Oxford University Presson behalf of the Royal Astronomical Society. All rights reserved.
Subjects: 02 - Geodynamics, Geophysics and Tectonics
Divisions: 02 - Geodynamics, Geophysics and Tectonics
Journal or Publication Title: Geophysical Journal International
Volume: 175
Page Range: pp. 1176-1208
Depositing User: Sarah Humbert
Date Deposited: 25 May 2013 11:31
Last Modified: 07 Aug 2013 15:19
URI: http://eprints.esc.cam.ac.uk/id/eprint/2774

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