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.
General
Imprint: |
Society For Industrial & Applied Mathematics,U.S.
|
Country of origin: |
United States |
Series: |
Computational Science and Engineering Series |
Release date: |
November 2012 |
First published: |
November 2012 |
Authors: |
Jennifer L. Muller
• Samuli Siltanen
|
Dimensions: |
229 x 152 x 17mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
364 |
Edition: |
New |
ISBN-13: |
978-1-61197-233-7 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Numerical analysis
|
LSN: |
1-61197-233-7 |
Barcode: |
9781611972337 |
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