Inverse problems : Tikhonov theory and algorithms / Kazufumi Ito and Bangti Jin.
Material type:
TextSeries: Series on applied mathematics ; v 22.Publication details: New Jersey : World Scientific, 2014.Description: x, 319 p. : illustrations ; 24 cmISBN: - 9789814596190 (hardcover : alk. paper)
- 515.357 23 It89
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 515.357 It89 (Browse shelf(Opens below)) | Available | 136512 |
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| 515.357 As853 Parameter estimation and inverse problems | 515.357 B586 Large-Scale inverse problems and quantification of uncertainty | 515.357 Id19 Bayesian approach to inverse problems | 515.357 It89 Inverse problems : | 515.357 St797 Inverse problems and high-dimensional estimation | 515.36 Ag261 Inequalities for differential forms | 515.36 G566 Numerical analysis of variational inequalities |
Includes bibliographical references and index.
1. Introduction--
2. Models in inverse problems--
3. Tikhonov theory for linear problems--
4. Tikhonov theory for nonlinear inverse problems--
5. Nonsmooth optimization--
6. Direct inversion methods--
7. Bayesian inference--
Appendixes--
Bibliography--
Index.
Inverse problems arise in practical applications whenever one needs to deduce unknowns from observables. This monograph is a valuable contribution to the highly topical field of computational inverse problems. Both mathematical theory and numerical algorithms for model-based inverse problems are discussed in detail. The mathematical theory focuses on nonsmooth Tikhonov regularization for linear and nonlinear inverse problems. The computational methods include nonsmooth optimization algorithms, direct inversion methods and uncertainty quantification via Bayesian inference.
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