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Regularization Algorithms for Ill-Posed Problems (Inverse and Ill-Posed Problems Series, 61) - Hardcover
Synopsis
This specialized and authoritative book presents the state of the art on iterative algorithms and methods for the regularization of a variety of ill-posed problems. Topics covered include iterative regularization of linear and nonlinear operator equations in Hilbert and Banach spaces, regularization of ill-posed Cauchy problems for operator differential equations, and regularization of nonlinear variational inequalities and optimization problems.
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About the Author
Anatoly B. Bakushinsky, Russian Academy of Sciences, Russia Mihail M. Kokurin and Mihail Yu. Kokurin, Mari State University, Russia.
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Regularization Algorithms for Ill-Posed Problems
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This specialized and authoritative book contains an overview of modern approaches to constructing approximations to solutions of ill-posed operator equations, both linear and nonlinear. These approximation schemes form a basis for implementable numerical algorithms for the stable solution of operator equations arising in contemporary mathematical modeling, and in particular when solving inverse problems of mathematical physics. The book presents in detail stable solution methods for ill-posed problems using the methodology of iterative regularization of classical iterative schemes and the techniques of finite dimensional and finite difference approximations of the problems under study. Special attention is paid to ill-posed Cauchy problems for linear operator differential equations and to ill-posed variational inequalities and optimization problems. The readers are expected to have basic knowledge in functional analysis and differential equations. The book will be of interest to applied mathematicians and specialists in mathematical modeling and inverse problems, and also to advanced students in these fields. ContentsIntroductionRegularization Methods For Linear EquationsFinite Difference MethodsIterative Regularization MethodsFinite-Dimensional Iterative ProcessesVariational Inequalities and Optimization Problems 342 pp. Englisch. Seller Inventory # 9783110556308
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Anatoly B. Bakushinsky, Russian Academy of Sciences, Russia Mihail M. Kokurin and Mihail Yu. Kokurin, Mari State University, Russia.This specialized and authoritative book contains an overview o. Seller Inventory # 158156215
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Regularization Algorithms for Ill-Posed Problems
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De Gruyter, DE, 2018
ISBN 10: 3110556308
ISBN 13: 9783110556308
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Hardback. Condition: New. 1st. This specialized and authoritative book contains an overview of modern approaches to constructing approximations to solutions of ill-posed operator equations, both linear and nonlinear. These approximation schemes form a basis for implementable numerical algorithms for the stable solution of operator equations arising in contemporary mathematical modeling, and in particular when solving inverse problems of mathematical physics. The book presents in detail stable solution methods for ill-posed problems using the methodology of iterative regularization of classical iterative schemes and the techniques of finite dimensional and finite difference approximations of the problems under study. Special attention is paid to ill-posed Cauchy problems for linear operator differential equations and to ill-posed variational inequalities and optimization problems. The readers are expected to have basic knowledge in functional analysis and differential equations. The book will be of interest to applied mathematicians and specialists in mathematical modeling and inverse problems, and also to advanced students in these fields. ContentsIntroductionRegularization Methods For Linear EquationsFinite Difference MethodsIterative Regularization MethodsFinite-Dimensional Iterative ProcessesVariational Inequalities and Optimization Problems. Seller Inventory # LU-9783110556308