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Splines on the 3-dimensional Ball and their Application to Seismic Body Wave Tomography

  • In this paper we construct spline functions based on a reproducing kernel Hilbert space to interpolate/approximate the velocity field of earthquake waves inside the Earth based on traveltime data for an inhomogeneous grid of sources (hypocenters) and receivers (seismic stations). Theoretical aspects including error estimates and convergence results as well as numerical results are demonstrated.

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Author:Abel Amirbekyan, Volker Michel
Serie (Series number):Schriften zur Funktionalanalysis und Geomathematik (33)
Document Type:Preprint
Language of publication:English
Year of Completion:2007
Year of Publication:2007
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2007/04/17
Tag:Sobolevräume; lokalisierende Basis
Sobolev spaces; localizing basis
GND-Keyword:Inverses Problem; Mehrdimensionale Spline-Funktion; Spline-Approximation; Spline-Interpolation; Seismische Tomographie; Lineare Integralgleichung
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Classification (mathematics):41-XX APPROXIMATIONS AND EXPANSIONS (For all approximation theory in the complex domain, see 30E05 and 30E10; for all trigonometric approximation and interpolation, see 42A10 and 42A15; for numerical approximation, see 65Dxx) / 41Axx Approximations and expansions / 41A15 Spline approximation
45-XX INTEGRAL EQUATIONS / 45Qxx Inverse problems / 45Q05 Inverse problems
86-XX GEOPHYSICS [See also 76U05, 76V05] / 86Axx Geophysics [See also 76U05, 76V05] / 86A15 Seismology
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011