Linear and nonlinear inverse problems with practical applications / Jennifer Mueller, Colorado State University, Fort Collins, Colorado, Samuli Siltanen, University of Helsinki, Helsinki, Finland.
Material type: TextSeries: Computational science and engineering seriesPublication details: New york : Siam, c2012.Description: xiii, 351 p : ill. ; 26 cmISBN:- 9781611972337
- 1611972337
- 515.357 22 MUL
Item type | Current library | Call number | Copy number | Status | Date due | Barcode |
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Books | Library, Institute of Information and Communication Technology General Stacks | 515.357 MUL (Browse shelf(Opens below)) | 1 | Available | I000883 | |
Books | Library, Institute of Information and Communication Technology General Stacks | 515.357 MUL (Browse shelf(Opens below)) | 2 | Available | I000882 |
Includes bibliographical references (pages 311-347) and index.
Na�ive reconstruction and inverse crimes -- Ill-posedness in inverse problems -- Truncated singular value decomposition -- Tikhonov regularization -- Total variation regularization -- Besov space regularization using wavelets -- Discretization-invariance -- Practical X-ray tomography with limited data -- Projects -- Nonlinear inverse problems -- Nonlinear inversion -- Electrical impedance tomography -- Simulation of noisy EIT data -- Complex geometrical optics solutions -- A regularized D-bar method for direct EIT -- Other direct solution methods for EIT -- Projects -- Banach spaces and Hilbert spaces -- Mappings and compact operators -- Fourier transform and Sobolev spaces -- Iterative solution of linear equations.
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