Inverse Problems: Principles and Applications in Geophysics, Technology, and Medicine
Gottfried Anger, Rudolf Gorenflo, Horst Jochmann, Helmut Moritz, Wigor Webers
John Wiley & Sons, Sep 1, 1993 - Mathematics - 329 pages
Most mathematical problems in science, technology, and medicine are inverse problems. Studying such problems is the only way of completely analyzing experimental results. Inverse problems may be considered among the pressing problems of current mathematical research.
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Ballani D Stromeyer and F Bartelmess
Bertero and P Boccacci
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a-priori algorithm applications approximation assume boundary condition boundary data boundary value problem bounded coefficients compact compact operator computation consider constant convergence coordinates corresponding covariance decomposition defined degree of ill-posedness denotes depends derived differential equation dimensional Dirichlet Dirichlet problem domain downward continuation e-capacity Earth error estimate example exists field pattern finite force field formula frequency G(xo geodesy geodetic geoid geophysical given global gravitational potential gravity field Helmholtz equation Hilbert space ill-posed problems improperly posed problems integral equation inverse problems inverse scattering problem kernel linear operator marrow mass density Math mathematical matrix means measured mgal minimal nonlinear norm observations obtained optimal orthogonal physical Physical Geodesy plane polar motion proof reconstruction regional regularization parameter respect satisfying singular values smooth solving spectral spherical harmonics stability surface Theorem theory Tikhonov regularization tomography transform unknowns variance-covariance matrix vector vibrational wave