Gravitational field equation solution in gnu octave
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Singh SJ, Ben-Menahem A (1968) On the summation of certain legendre series.
#Gravitational field equation solution in gnu octave series
Singh S, Richards WF, Zinecker JR, Wilton DR (1990) Accelerating the convergence of series representing the free space periodic Green’s function. In: Using mathematica for quantum mechanics, Springer, Berlin, pp 1–31 Pollitz FF (1996) Coseismic deformation from earthquake faulting on a layered spherical earth. Piersanti A, Spada G, Sabadini R, Bonafede M (1995) Global post-seismic deformation. Piersanti A, Spada G, Sabadini R (1997) Global postseismic rebound of a viscoelastic Earth: theory for finite faults and application to the 1964 Alaska earthquake. Pan E (2019) Green’s functions for geophysics: a review. Okubo S (1988) Asymptotic solutions to the static deformation of the Earth - I. Müller C (1966b) Chapter 3 legendre functions. Müller C (1966a) Chapter 10 Associated legendre functions.
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Melini D, Cannelli V, Piersanti A, Spada G (2008) Post-seismic rebound of a spherical Earth: new insights from the application of the Post-Widder inversion formula. Springer Science & Business Media, Berlin McBride EB (2012) Obtaining generating functions (Vol 21). Martinec Z (2003) Green’s function solution to spherical gradiometric boundary-value problems. Lu Z, Yi H, Wen L (2018) Loading-induced earth’s stress change over time. Longman IM (1963) A Green’s function for determining the deformation of the Earth under surface mass loads: 2. Longman IM (1962) A Green’s function for determining the deformation of the Earth under surface mass loads: 1. Liu T, Fu G, She Y, Zhao C (2018) Green’s functions for post-seismic strain changes in a realistic earth model and their application to the Tohoku-Oki Mw 9.0 earthquake. Johnson LR (2010) Green’s function for lamb’s problem. Han DZ, Wahr J (1995) The viscoelastic relaxation of a realistically stratified earth, and a further analysis of postglacial rebound.
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Guo JY, Li YB, Huang Y, Deng HT, Xu SQ, Ning JS (2004) Green’s function of the deformation of the Earth as a result of atmospheric loading. Guo JY (2000) Direct proof of the asymptotic expression of the loading Love numbers. In: Jeffrey DA, Zwillinger D (eds) 6th edn. Gradshteyn I, Ryzhik I (2000) Table of integrals, series, and products. Goad CC (1980) Gravimetric tidal loading computed from integrated Green's functions. Springer Science & Business Media, Berlinįreeden W, Schreiner M (2008) Spherical functions of mathematical geosciences: a scalar, vectorial, and tensorial setup.
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J Geophys Res Solid Earth 124:2184–2201įreeden W, Nashed MZ, Sonar T (eds) (2010) Handbook of geomathematics. Rev Geophys Space Phys 10:761–797įowler J, Ogle C, Bevis M (2019) An Analytic method for computing the infinite sums occurring in the geoelastic disk load problem. Phys Earth Planet Inter 25:297–356įarrell WE (1972) Deformation of the earth by surface loads. Geophys J Int 119:231–242ĭziewonski AM, Anderson DL (1981) Preliminary reference earth model. Geophys J Int 203:943–959ĭong W, Schmitt DP (1994) Simplified dynamic and static Green’s functions in transversely isotropic media. Phys Earth Planet Inter 109:161–177Ĭambiotti G, Sabadini R (2015) On the response of the earth to a fault system: its evaluation beyond the epicentral reference frame. Phys Chem Earth Part A Solid Earth Geodesy 25:655–659īoy JP, Hinderer J, Gegout P (1998) Global atmospheric loading and gravity. Math Soc Utopias France 28:105–118īosch W (2000) On the computation of derivatives of Legendre functions. SPOTL: Some programs for ocean-tide loading.Īskey R (2005) The 1839 paper on permutations: its relation to the Rodrigues formula and further developments. Academic PressĪgnew DC (1997) NLOADF: A program for computing ocean-tide loading. Abell ML, Braselton JP (2017) Mathematica by example.