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portada Linear and Nonlinear Inverse Problems with Practical Applications
Type
Physical Book
Author
Publisher
Language
English
Pages
372
Format
Paperback
ISBN13
9781611972337
Categories

Linear and Nonlinear Inverse Problems with Practical Applications

Samuli Siltanen (Author) · Jennifer L. Müller (Author) · Society for Industrial and Applied Mathematic · Paperback

Linear and Nonlinear Inverse Problems with Practical Applications - Müller, Jennifer L. ; Siltanen, Samuli

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Synopsis "Linear and Nonlinear Inverse Problems with Practical Applications"

Inverse problems arise in practical applications whenever there is a need to interpret indirect measurements. This book explains how to identify ill-posed inverse problems arising in practice and gives a hands-on guide to designing computational solution methods for them, with related codes on an accompanying website. The guiding linear inversion examples are the problem of image deblurring, x-ray tomography, and backward parabolic problems, including heat transfer. A thorough treatment of electrical impedance tomography is used as the guiding nonlinear inversion example which combines the analytic-geometric research tradition and the regularization-based school of thought in a fruitful manner. This book is complete with exercises and project topics, making it ideal as a classroom textbook or self-study guide for graduate and advanced undergraduate students in mathematics, engineering or physics who wish to learn about computational inversion. It also acts as a useful guide for researchers who develop inversion techniques in high-tech industry.

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