Inverse Problems: Tikhonov Theory And Algorithms

Inverse Problems: Tikhonov Theory And Algorithms
Author :
Publisher : World Scientific
Total Pages : 330
Release :
ISBN-10 : 9789814596213
ISBN-13 : 9814596213
Rating : 4/5 (213 Downloads)

Book Synopsis Inverse Problems: Tikhonov Theory And Algorithms by : Kazufumi Ito

Download or read book Inverse Problems: Tikhonov Theory And Algorithms written by Kazufumi Ito and published by World Scientific. This book was released on 2014-08-28 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Related Books

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

GET EBOOK

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
Language: en
Pages: 220
Authors: Per Christian Hansen
Categories: Mathematics
Type: BOOK - Published: 2010-01-01 - Publisher: SIAM

GET EBOOK

This book gives an introduction to the practical treatment of inverse problems by means of numerical methods, with a focus on basic mathematical and computation
Parameter Estimation and Inverse Problems
Language: en
Pages: 406
Authors: Richard C. Aster
Categories: Science
Type: BOOK - Published: 2018-10-16 - Publisher: Elsevier

GET EBOOK

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
Computational Methods for Inverse Problems
Language: en
Pages: 195
Authors: Curtis R. Vogel
Categories: Mathematics
Type: BOOK - Published: 2002-01-01 - Publisher: SIAM

GET EBOOK

Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.
A Taste of Inverse Problems
Language: en
Pages: 171
Authors: Martin Hanke
Categories: Mathematics
Type: BOOK - Published: 2017-01-01 - Publisher: SIAM

GET EBOOK

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