Computation of free oscillations of the Earth

DOI10.1016/0021-9991(84)90141-4zbMath0527.73099OpenAlexW2068511716MaRDI QIDQ595405

Freeman Gilbert, Ray Buland

Publication date: 1984

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(84)90141-4

zbMATH Keywords

accuracygeneralitybanded matrix equationfree oscillations of Earthgeneralized algebraic eigenvalue problemhigh degree of automationpiecewise cubic Hermite spline basis functionsRayleigh-Ritz formulation

Mathematics Subject Classification ID

Seismology (including tsunami modeling), earthquakes (86A15) Geophysical solid mechanics (74L05) Numerical and other methods in solid mechanics (74S99)

Related Items (1)

A non-perturbative approach to computing seismic normal modes in rotating planets

Cites Work

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• Tridiagonalization of a symmetric band matrix
• Solution of symmetric and unsymmetric band equations and the calculation of eigenvectors of band matrices
• The Scalar Equations of Infinitesimal Elastic-Gravitational Motion for a Rotating, Slightly Elliptical Earth
• Rayleigh-Ritz Approximation by Piecewise Cubic Polynomials
• Eigenvalues of Ax =  Bx with band symmetric A and B

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