Regularization Methods in Banach Spaces

Language: English

Published by De Gruyter, De Gruyter Jul 2012, 2012

3110255243 / 9783110255249

Series: Book 9 of 28 - Radon Series on Computational and Applied Mathematics

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -Regularization methods aimed at finding stable approximate solutions are a necessary tool to tackle inverse and ill-posed problems. Inverse problems arise in a large variety of applications ranging from medical imaging and non-destructive testing via finance to systems biology. Many of these problems belong to the class of parameter identification problems in partial differential equations (PDEs) and thus are computationally demanding and mathematically challenging. Hence there is a substantial need for stable and efficient solvers for this kind of problems as well as for a rigorous convergence analysis of these methods. This monograph consists of five parts. Part I motivates the importance of developing and analyzing regularization methods in Banach spaces by presenting four applications which intrinsically demand for a Banach space setting and giving a brief glimpse of sparsity constraints. Part II summarizes all mathematical tools that are necessary to carry out an analysis in Banach spaces. Part III represents the current state-of-the-art concerning Tikhonov regularization in Banach spaces. Part IV about iterative regularization methods is concerned with linear operator equations and the iterative solution of nonlinear operator equations by gradient type methods and the iteratively regularized Gauß-Newton method. Part V finally outlines the method of approximate inverse which is based on the efficient evaluation of the measured data with reconstruction kernels. 296 pp. Englisch.

Seller Inventory # 9783110255249

Title
Regularization Methods in Banach Spaces
Author
Thomas Schuster
Publisher
De Gruyter, De Gruyter Jul 2012
Publication year
2012
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3110255243
ISBN 13
9783110255249
Item weight
745 grams
Dimensions
246x175x26 mm
Series
Book 9 of 28: Radon Series on Computational and Applied Mathematics

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

Shipping rates from Germany to U.S.A.

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First itemUS$ 26.39US$ 26.39
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BuchWeltWeit Ludwig Meier e.K.

Germany