TY  - BOOK
AU  - Ito,Kazufumi
AU  - Jin,Bangti
TI  - Inverse problems: Tikhonov theory and algorithms 
T2  - Series on applied mathematics
SN  - 9789814596190 (hardcover : alk. paper)
U1  - 515.357 23
PY  - 2014///
CY  - New Jersey
PB  - World Scientific
KW  - Inverse problems (Differential equations)
KW  - Numerical solutions
N1  - 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
N2  - 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.
ER  -