Linear and Nonlinear Inverse Problems with Practical Applications Paperback
Part of the Computational Science and Engineering Series series
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 how to design computational solution methods for them; explains computational approaches in a hands-on fashion, with related codes available on a website; and serves as a convenient entry point to practical inversion. The guiding linear inversion examples are the problem of image deblurring, x-ray tomography, and backward parabolic problems, including heat transfer, and electrical impedance tomography is used as the guiding nonlinear inversion example. The book's nonlinear material combines the analytic-geometric research tradition and the regularization-based school of thought in a fruitful manner, paving the way to new theorems and algorithms for nonlinear inverse problems.
Furthermore, it is the only mathematical textbook with a thorough treatment of electrical impedance tomography, and these sections are suitable for beginning and experienced researchers in mathematics and engineering.
- Format: Paperback
- Pages: 364 pages, Illustrations (some col.)
- Publisher: Society for Industrial & Applied Mathematics,U.S.
- Publication Date: 15/11/2012
- Category: Numerical analysis
- ISBN: 9781611972337