Author | : Jennifer L. Mueller |
File Size | : 51,7 Mb |
Publisher | : SIAM |
Language | : English |
Release Date | : 30 November 2012 |
ISBN | : 9781611972337 |
Pages | : 349 pages |
Linear and Nonlinear Inverse Problems with Practical Applications by Jennifer L. Mueller Book PDF Summary
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.