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Linear and nonlinear inverse problems with practical applications / Jennifer Mueller; Samuli Siltanen
Mitwirkende(r): Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Reihen: Computational science and engineering series | Computational science & engineering ; 10Verlag: Philadelphia, Pa. : SIAM, 2012Beschreibung: 349 S. : Ill., graph. DarstISBN:- 9781611972337
- 9781611972344
- 515/.357 23
- QA378.5
Inhalte:
Zusammenfassung: 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; 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 engineeringPPN: PPN: 732249619Package identifier: Produktsigel: ZDB-72-SIA
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