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Linear and Nonlinear Inverse Problems with Practical Applications
Jennifer L. MuellerSamuli Siltanen
出版SIAM, 2012-11-30
主題Mathematics / Differential Equations / GeneralMathematics / GeneralMathematics / AppliedMathematics / Discrete Mathematics
ISBN16119723379781611972337
URLhttp://books.google.com.hk/books?id=P62t2uxPEYAC&hl=&source=gbs_api
EBookSAMPLE
註釋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.