Inverse Problems: Tikhonov Theory And Algorithms

Inverse Problems: Tikhonov Theory And Algorithms
Author: Kazufumi Ito
Publisher: World Scientific
Total Pages: 330
Release: 2014-08-28
Genre: Mathematics
ISBN: 9814596213

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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.


Inverse Problems: Tikhonov Theory And Algorithms
Language: en
Pages: 330
Authors: Kazufumi Ito
Categories: Mathematics
Type: BOOK - Published: 2014-08-28 - Publisher: World Scientific

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Inverse problems arise in practical applications whenever one needs to deduce unknowns from observables. This monograph is a valuable contribution to the highly
Discrete Inverse Problems
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Pages: 219
Authors: Per Christian Hansen
Categories: Mathematics
Type: BOOK - Published: 2010-03-18 - Publisher: SIAM

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An introduction to the practical treatment of inverse problems using numerical methods for graduate students, including examples and exercises.
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Authors: Richard C. Aster
Categories: Science
Type: BOOK - Published: 2018-10-16 - Publisher: Elsevier

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Parameter Estimation and Inverse Problems, Third Edition, is structured around a course at New Mexico Tech and is designed to be accessible to typical graduate
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Language: en
Pages: 171
Authors: Martin Hanke
Categories: Mathematics
Type: BOOK - Published: 2017-01-01 - Publisher: SIAM

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Inverse problems need to be solved in order to properly interpret indirect measurements. Often, inverse problems are ill-posed and sensitive to data errors. The
Computational Methods for Inverse Problems
Language: en
Pages: 195
Authors: Curtis R. Vogel
Categories: Mathematics
Type: BOOK - Published: 2002-01-01 - Publisher: SIAM

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Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.