Inverse Problems : (Record no. 2365)

MARC details
000 -LEADER
fixed length control field 03546nam a2200325 a 4500
001 - CONTROL NUMBER
control field 00006139
003 - CONTROL NUMBER IDENTIFIER
control field WSP
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20230529140031.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m d
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr buu|||uu|||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 091123s2015 si a sb 001 0 eng d
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number 2014013310
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9789814596213
040 ## - CATALOGING SOURCE
Original cataloging agency WSPC
Language of cataloging eng
Transcribing agency WSPC
050 04 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA371
Item number .I88 2014
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.357
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Ito, Kazufumi and Jin, Bangti
245 10 - TITLE STATEMENT
Title Inverse Problems :
Remainder of title Tikhonov Theory and Algorithms /
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc. Singapore ;
Name of publisher, distributor, etc. World Scientific Pub. Co.,
Date of publication, distribution, etc. c2015.
300 ## - PHYSICAL DESCRIPTION
Extent 332 p. :
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Series on Applied Mathematics:
Volume/sequential designation Vol. 22 ;
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1. Introduction -- 2. Models in inverse problems. 2.1. Introduction. 2.2. Elliptic inverse problems. 2.3. Tomography -- 3. Tikhonov theory for linear problems. 3.1. Well-posedness. 3.2. Value function calculus. 3.3. Basic estimates. 3.4. A posteriori parameter choice rules. 3.5. Augmented Tikhonov regularization. 3.6. Multi-parameter Tikhonov regularization -- 4. Tikhonov theory for nonlinear inverse problems. 4.1. Well-posedness. 4.2. Classical convergence rate analysis. 4.3. A new convergence rate analysis. 4.4. A class of parameter identification problems. 4.5. Convergence rate analysis in Banach spaces. 4.6. Conditional stability -- 5. Nonsmooth optimization. 5.1. Existence and necessary optimality condition. 5.2. Nonsmooth optimization algorithms. 5.3. [symbol] sparsity optimization. 5.4. Nonsmooth nonconvex optimization -- 6. Direct inversion methods. 6.1. Inverse scattering methods. 6.2. Point source identification. 6.3. Numerical unique continuation. 6.4. Gel'fand-Levitan-Marchenko transformation -- 7. Bayesian inference. 7.1. Fundamentals of Bayesian inference. 7.2. Model selection. 7.3. Markov chain Monte Carlo. 7.4. Approximate inference.
520 ## - SUMMARY, ETC.
Summary, etc. 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. The book offers a comprehensive treatment of modern techniques, and seamlessly blends regularization theory with computational methods, which is essential for developing accurate and efficient inversion algorithms for many practical inverse problems. It demonstrates many current developments in the field of computational inversion, such as value function calculus, augmented Tikhonov regularization, multi-parameter Tikhonov regularization, semismooth Newton method, direct sampling method, uncertainty quantification and approximate Bayesian inference. It is written for graduate students and researchers in mathematics, natural science and engineering.
533 ## - REPRODUCTION NOTE
Type of reproduction Electronic reproduction.
Place of reproduction Singapore :
Agency responsible for reproduction World Scientific Publishing Co.,
Date of reproduction 2015.
Note about reproduction System requirements: Adobe Acrobat Reader.
-- Mode of access: World Wide Web.
-- Available to subscribing institutions.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Inverse problems (Differential equations)
General subdivision Numerical solutions.
655 #0 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
776 1# - ADDITIONAL PHYSICAL FORM ENTRY
International Standard Book Number 9789814596190
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://www.worldscientific.com/worldscibooks/10.1142/9120#t=toc">http://www.worldscientific.com/worldscibooks/10.1142/9120#t=toc</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type E-Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Date acquired Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Dewey Decimal Classification     Indian Institute of Technology Tirupati Indian Institute of Technology Tirupati 06/02/2018   515.357 EB00282 06/02/2018 06/02/2018 E-Books