Statistics – Computation
Scientific paper
May 2012
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012geoji.189.1038a&link_type=abstract
Geophysical Journal International, Volume 189, Issue 2, pp. 1038-1046.
Statistics
Computation
Surface Waves And Free Oscillations, Seismic Tomography, Computational Seismology, Theoretical Seismology
Scientific paper
Normal mode observations play an important role in studying broad-scale lateral variations in the Earth. Such studies require the calculation of accurate synthetic spectra in realistic earth models, and this remains a computationally challenging problem. Here, we describe a new implementation of the direct solution method for calculating normal mode spectra in laterally heterogeneous earth models. In this iterative direct solution method, the mode-coupling equations are solved in the frequency-domain using the preconditioned biconjugate gradient algorithm, and the time-domain solution is recovered using a numerical inverse Fourier transform. A number of example calculations are presented to demonstrate the accuracy and efficiency of the method for performing large 'full coupling' calculations as compared to methods based on matrix diagonalization and the traditional direct solution method.
Al-Attar David
Deuss Arwen
Woodhouse John H.
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