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Volumn 24, Issue 1, 2008, Pages

Splines on the three-dimensional ball and their application to seismic body wave tomography

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; EARTHQUAKES; ERROR ANALYSIS; SPLINES; THREE DIMENSIONAL; TOMOGRAPHY;

EID: 41849087683     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/24/1/015022     Document Type: Article
Times cited : (22)

References (47)
  • 1
    • 84990780703 scopus 로고
    • Determination of the three-dimensional seismic structure of the lithosphere
    • Aki K, Christoffersson A and Husebye E S 1977 Determination of the three-dimensional seismic structure of the lithosphere J. Geophys. Res. 277-96
    • (1977) J. Geophys. Res. , vol.82 , Issue.2 , pp. 277-296
    • Aki, K.1    Christoffersson, A.2    Husebye, E.S.3
  • 3
    • 78650359235 scopus 로고    scopus 로고
    • Amirbekyan A 2007 The application of reproducing kernel based spline approximation to seismic surface and body wave tomography: theoretical aspects and numerical results PhD Thesis Geomathematics Group, Department of Mathematics, University of Kaiserslautern http://kluedo.ub.uni-kl.de/volltexte/ 2007/2103/index.html
    • (2007) PhD Thesis
    • Amirbekyan, A.1
  • 4
    • 0038526367 scopus 로고    scopus 로고
    • A new joint model of compressional and shear velocity in the mantle
    • Antolik M, Gu Y J, Dziewonski A M and Ekström G 2003 A new joint model of compressional and shear velocity in the mantle Geophys. J. Int. 153 443-66
    • (2003) Geophys. J. Int. , vol.153 , Issue.2 , pp. 443-466
    • Antolik, M.1    Gu, Y.J.2    Dziewonski, A.M.3    Ekström, G.4
  • 6
    • 3042693233 scopus 로고    scopus 로고
    • Remarks on interpolation in reproducing kernel Hilbert spaces
    • Bolotnikov V and Rodman L 2004 Remarks on interpolation in reproducing kernel Hilbert spaces Houston J. Math. 30 559-76
    • (2004) Houston J. Math. , vol.30 , pp. 559-576
    • Bolotnikov, V.1    Rodman, L.2
  • 7
    • 0033544153 scopus 로고    scopus 로고
    • High and low-resolution images of the earth's mantle: Implications of different approaches to tomographic modeling
    • Boschi L and Dziewonski A M 1999 High and low-resolution images of the earth's mantle: implications of different approaches to tomographic modeling J. Geophys. Res. 25567-94
    • (1999) J. Geophys. Res. , vol.104 , Issue.B11 , pp. 25567-25594
    • Boschi, L.1    Dziewonski, A.M.2
  • 9
    • 0001452604 scopus 로고
    • A tomographic analysis of mantle heterogeneities from body wave travel time data
    • Clayton R W and Comer R P 1983 A tomographic analysis of mantle heterogeneities from body wave travel time data EOS Trans. Am. Geophys. Union 64 776
    • (1983) EOS Trans. Am. Geophys. Union , vol.64 , pp. 776
    • Clayton, R.W.1    Comer, R.P.2
  • 13
    • 0023159705 scopus 로고
    • Global images of the Earth's interior
    • Dziewonski A and Woodhouse J 1987 Global images of the Earth's interior Science 236 37-48
    • (1987) Science , vol.236 , Issue.4797 , pp. 37-48
    • Dziewonski, A.1    Woodhouse, J.2
  • 14
    • 41849131092 scopus 로고
    • On least-squares collocation for solving linear integral equations of the first kind with noisy right-hand side
    • Engl H 1982 On least-squares collocation for solving linear integral equations of the first kind with noisy right-hand side Boll. Geodesia Sci. Aff. 41 291-313
    • (1982) Boll. Geodesia Sci. Aff. , vol.41 , pp. 291-313
    • Engl, H.1
  • 15
    • 0003335918 scopus 로고
    • On the convergence of regularization methods for ill-posed linear operator equations
    • Engl H 1983 On the convergence of regularization methods for ill-posed linear operator equations Improperly Posed Problems and their Numerical Treatment, ISNM 63 ed G Hämmerlin and K H Hoffmann (Basel: Birkhäuser) pp 81-95
    • (1983) Improperly Posed Problems and Their Numerical Treatment, ISNM 63 , pp. 81-95
    • Engl, H.1
  • 17
    • 2542551189 scopus 로고    scopus 로고
    • The Kaiserslautern multiscale geopotential model SWITCH-03 from orbit perturbations of the satellite CHAMP and its comparison to the models EGM96, UCPH2002-02-0.5, EIGEN-1s, and EIGEN-2
    • Fengler M J, Freeden W and Michel V 2004 The Kaiserslautern multiscale geopotential model SWITCH-03 from orbit perturbations of the satellite CHAMP and its comparison to the models EGM96, UCPH2002-02-0.5, EIGEN-1s, and EIGEN-2 Geophys. J. Int. 157 499-514
    • (2004) Geophys. J. Int. , vol.157 , Issue.2 , pp. 499-514
    • Fengler, M.J.1    Freeden, W.2    Michel, V.3
  • 18
    • 0343569754 scopus 로고
    • On approximation by harmonic splines
    • Freeden W 1981 On approximation by harmonic splines Manuscr. Geod. 6 193-244
    • (1981) Manuscr. Geod. , vol.6 , pp. 193-244
    • Freeden, W.1
  • 19
    • 0019712378 scopus 로고
    • On spherical spline interpolation and approximation
    • Freeden W 1981 On spherical spline interpolation and approximation Math. Methods Appl. Sci. 3 551-75
    • (1981) Math. Methods Appl. Sci. , vol.3 , Issue.1 , pp. 551-575
    • Freeden, W.1
  • 23
    • 84981750910 scopus 로고
    • Determination of a seismic wave velocity from the travel time curve
    • Gerver M L and Markushevich V M 1966 Determination of a seismic wave velocity from the travel time curve Geophys. J. R. Astron. Soc. 11 165-73
    • (1966) Geophys. J. R. Astron. Soc. , vol.11 , pp. 165-173
    • Gerver, M.L.1    Markushevich, V.M.2
  • 24
    • 0034941518 scopus 로고    scopus 로고
    • Models of the mantle shear velocity and discontinuities in the pattern of lateral heterogeneities
    • Gu Y J, Dziewonski A M, Su W J and Ekström G 2001 Models of the mantle shear velocity and discontinuities in the pattern of lateral heterogeneities J. Geophys. Res. 106 11169-99
    • (2001) J. Geophys. Res. , vol.106 , Issue.B6 , pp. 11169-11199
    • Gu, Y.J.1    Dziewonski, A.M.2    Su, W.J.3    Ekström, G.4
  • 25
    • 0037911612 scopus 로고
    • Ber die Elastizität der Erde bei Berücksichtigung ihrer variablen Dichte
    • Herglotz G 1905 ber die Elastizität der Erde bei Berücksichtigung ihrer variablen Dichte Z. Math. Phys. 52 275-99
    • (1905) Z. Math. Phys. , vol.52 , pp. 275-299
    • Herglotz, G.1
  • 26
    • 41349118528 scopus 로고    scopus 로고
    • Time-dependent Cauchy-Navier splines and their application to seismic wave front propagation
    • Kammann P and Michel V 2008 Time-dependent Cauchy-Navier splines and their application to seismic wave front propagation Z. Angew. Math. Mech. (ZAMM) at press
    • (2008) Z. Angew. Math. Mech. (ZAMM)
    • Kammann, P.1    Michel, V.2
  • 29
    • 18744407452 scopus 로고    scopus 로고
    • Michel V 1999 A multiscale method for the gravimetry problem-theoretical and numerical aspects of harmonic and anharmonic modelling PhD Thesis Geomathematics Group, Department of Mathematics, University of Kaiserslautern, Shaker Verlag, Aachen
    • (1999) PhD Thesis
    • Michel, V.1
  • 30
    • 41249088440 scopus 로고    scopus 로고
    • Numerical aspects of a spline-based multi-resolution recovery of the harmonic mass density out of gravity functionals
    • Michel V and Wolf K 2008 Numerical aspects of a spline-based multi-resolution recovery of the harmonic mass density out of gravity functionals Geophys. J. Int. at press
    • (2008) Geophys. J. Int.
    • Michel, V.1    Wolf, K.2
  • 32
    • 84968487240 scopus 로고
    • Convergence rates of approximate least squares solutions of linear integral and operator equations of the first kind
    • Nashed M and Wahba G 1974 Convergence rates of approximate least squares solutions of linear integral and operator equations of the first kind Math. Comput. 28 69-80
    • (1974) Math. Comput. , vol.28 , Issue.125 , pp. 69-80
    • Nashed, M.1    Wahba, G.2
  • 33
    • 0016648443 scopus 로고
    • Some exponentially decreasing error bounds for a numerical inversion of the Laplace transform
    • Nashed M and Wahba G 1975 Some exponentially decreasing error bounds for a numerical inversion of the Laplace transform J. Math. Anal. Appl. 52 660-8
    • (1975) J. Math. Anal. Appl. , vol.52 , Issue.3 , pp. 660-668
    • Nashed, M.1    Wahba, G.2
  • 35
    • 34547159091 scopus 로고    scopus 로고
    • Best approximation, Tikhonov regularization and reproducing kernels
    • Saitoh S 2005 Best approximation, Tikhonov regularization and reproducing kernels Kodai Math. J. 28 359-67
    • (2005) Kodai Math. J. , vol.28 , Issue.2 , pp. 359-367
    • Saitoh, S.1
  • 36
    • 34547226435 scopus 로고    scopus 로고
    • Operator equations and best approximation problems in reproducing kernel Hilbert spaces
    • Saitoh S, Matsuura T and Asaduzzaman M 2003 Operator equations and best approximation problems in reproducing kernel Hilbert spaces J. Anal. Appl. 1 131-42
    • (2003) J. Anal. Appl. , vol.1 , pp. 131-142
    • Saitoh, S.1    Matsuura, T.2    Asaduzzaman, M.3
  • 37
    • 0036900129 scopus 로고    scopus 로고
    • Multimode Rayleigh wave inversion for shear wave speed heterogeneity and azimuthal anisotropy of the Australian upper mantle
    • Simons F J, van der Hilst R D, Montagner J P and Zielhuis A 2002 Multimode Rayleigh wave inversion for shear wave speed heterogeneity and azimuthal anisotropy of the Australian upper mantle Geophys. J. Int. 151 738-54
    • (2002) Geophys. J. Int. , vol.151 , Issue.3 , pp. 738-754
    • Simons, F.J.1    Van Der Hilst, R.D.2    Montagner, J.P.3    Zielhuis, A.4
  • 38
    • 0033378615 scopus 로고    scopus 로고
    • The deep structure of the Australian continent from surface-wave tomography
    • Simons F J, Zielhuis A and van der Hilst R D 1999 The deep structure of the Australian continent from surface-wave tomography Lithos 48 17-43
    • (1999) Lithos , vol.48 , Issue.1-4 , pp. 17-43
    • Simons, F.J.1    Zielhuis, A.2    Van Der Hilst, R.D.3
  • 39
    • 0030726627 scopus 로고    scopus 로고
    • Simultaneous inversion for 3D variations in shear and bulk sound velocity in the mantle
    • Su W and Dziewonski A 1997 Simultaneous inversion for 3D variations in shear and bulk sound velocity in the mantle Phys. Earth Planet. Inter. 100 135-56
    • (1997) Phys. Earth Planet. Inter. , vol.100 , Issue.1-4 , pp. 135-156
    • Su, W.1    Dziewonski, A.2
  • 40
    • 41849139051 scopus 로고
    • Szegö G 1939 Orthogonal Polynomials vol XXIII (Providence, RI: American Mathematical Society Colloquium Publications)
    • (1939) Orthogonal Polynomials , vol.23
    • Szegö, G.1
  • 41
    • 0029770063 scopus 로고    scopus 로고
    • Isotropic reproducing kernels for the inner of a sphere or spherical shell and their use as density covariance functions
    • Tscherning C C 1996 Isotropic reproducing kernels for the inner of a sphere or spherical shell and their use as density covariance functions Math. Geol. 28 161-8
    • (1996) Math. Geol. , vol.28 , Issue.2 , pp. 161-168
    • Tscherning, C.C.1
  • 42
    • 41849099737 scopus 로고    scopus 로고
    • Tücks M 1996 Navier-Splines und ihre Anwendung in der Deformationsanalyse PhD Thesis Geomathematics Group, Department of Mathematics, University of Kaiserslautern, Shaker Verlag, Aachen
    • (1996) PhD Thesis
    • Tücks, M.1
  • 43
    • 0031854341 scopus 로고    scopus 로고
    • Whole earth structure estimated from seismic arrival times
    • Vasco D W and Johnson L R 1998 Whole earth structure estimated from seismic arrival times J. Geophys. Res. 103 2633-71
    • (1998) J. Geophys. Res. , vol.103 , Issue.B2 , pp. 2633-2671
    • Vasco, D.W.1    Johnson, L.R.2
  • 44
    • 0029536159 scopus 로고
    • Spherical-spline parameterization of three-dimensional Earth models
    • Wang Z and Dahlen F A 1995 Spherical-spline parameterization of three-dimensional Earth models Geophys. Res. Lett. 22 3099-102
    • (1995) Geophys. Res. Lett. , vol.22 , Issue.22 , pp. 3099-3102
    • Wang, Z.1    Dahlen, F.A.2
  • 45
    • 0021644879 scopus 로고
    • Mapping the upper mantle: Three dimensional modelling of Earth structure by inversion of seismic waveforms
    • Woodhouse J and Dziewonski A 1984 Mapping the upper mantle: three dimensional modelling of Earth structure by inversion of seismic waveforms J. Geophys. Res. 89 5953-86
    • (1984) J. Geophys. Res. , vol.89 , Issue.B7 , pp. 5953-5986
    • Woodhouse, J.1    Dziewonski, A.2
  • 47
    • 0027803640 scopus 로고
    • High resolution global upper mantle structure and plate tectonics
    • Zhang Y S and Tanimoto T 1993 High resolution global upper mantle structure and plate tectonics J. Geophys. Res. 98 9793-823
    • (1993) J. Geophys. Res. , vol.98 , Issue.B6 , pp. 9793-9823
    • Zhang, Y.S.1    Tanimoto, T.2


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