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Linear and Nonlinear Inverse Problems with Practical Applications, Paperback Book

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:
  • Category: Numerical analysis
  • ISBN: 9781611972337



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