000			01692cam a2200253 i 4500
001			136512
003			ISI Library, Kolkata
005			20160202121710.0
008			140429t20152015njua b 001 0 eng
020			_a9789814596190 (hardcover : alk. paper)
040			_aISI Library _beng
082	0	4	_a515.357 _223 _bIt89
100	1		_aIto, Kazufumi.
245	1	0	_aInverse problems : _bTikhonov theory and algorithms / _cKazufumi Ito and Bangti Jin.
260			_aNew Jersey : _bWorld Scientific, _c2014.
300			_ax, 319 p. : _billustrations ; _c24 cm.
490	0		_aSeries on applied mathematics ; _vv 22.
504			_aIncludes bibliographical references and index.
505	0		_a1. 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.
520			_aInverse 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.
650		0	_aInverse problems (Differential equations) _xNumerical solutions.
700	1		_aJin, Bangti, _eauthor.
942			_2ddc _cBK
999			_c420373 _d420373