TY  - INPR
A1  - Amirbekyan, Abel
A1  - Michel, Volker
T1  - Splines on the 3-dimensional Ball and their Application to Seismic Body Wave Tomography
N2  - 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.
T3  - Schriften zur Funktionalanalysis und Geomathematik - 33 
KW  - Inverses Problem
KW  - Mehrdimensionale Spline-Funktion
KW  - Spline-Approximation
KW  - Spline-Interpolation
KW  - Seismische Tomographie
KW  - Lineare Integralgleichung
KW  - Sobolevräume
KW  - lokalisierende Basis
KW  - Sobolev spaces
KW  - localizing basis
Y1  - 2007
UR  - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1854
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-14903
ER  -