Computational Methods for Applied Inverse Problems (Inverse and Ill-Posed Problems Series, 56)
Author: Yanfei Wang (Editor), Anatoly G. Yagola (Editor), Changchun Yang (Editor), Higher Education Press (Contributor), Y. Bai (Contributor), G. Bao (Contributor), J. J. Cao (Contributor), H. Cheng (Contributor), Y. H. Dai (Contributor), C. Z. Dong (Contributor), G. S. Dulikravich (Contributor), I. N. Egorov (Contributor), C. L. Fu (Contributor), L. J. Gelius (Contributor), L. L. Hao (Contributor), X. H. Huang (Contributor), S. I. Kabanikhin (Contributor), I. V. Kochikov (Contributor), G. M. Kuramshina (Contributor), G. S. Li (Contributor), P. J. Li (Contributor), Z. H. Li (Contributor), J. J. Liu (Contributor), X. D. Liu (Contributor), Y. J. Ma (Contributor), M. T. Nair (Contributor), V. L. Panteleev (Contributor), L. M. Pinheiro (Contributor), M. A. Shishlenin (Contributor), H. B. Song (Contributor), Y. Song (Contributor), A. V. Stepanova (Contributor), T. Sun (Contributor), Y. F. Wang (Contributor), Z. H. Xiang (Contributor), T. Y. Xiao (Contributor), H. L. Xu (Contributor), A. G. Yagola (Contributor), C. C. Yang (Contributor), H. Yang (Contributor), B. Zang (Contributor), H. Zhang (Contributor), L. V. Zotov (Contributor) & 40 more
Publisher: De Gruyter
Edition: 1st edition
Publication Date: 2012-10-15
Language: English
Paperback: 550 pages
ISBN-10: 3110259044
ISBN-13: 9783110259049
Book Description
Nowadays inverse problems and applications in science and engineering represent an extremely active research field. The subjects are related to mathematics, physics, geophysics, geochemistry, oceanography, geography and remote sensing, astronomy, biomedicine, and other areas of applications.
This monograph reports recent advances of inversion theory and recent developments with practical applications in frontiers of sciences, especially inverse design and novel computational methods for inverse problems. The practical applications include inverse scattering, chemistry, molecular spectra data processing, quantitative remote sensing inversion, seismic imaging, oceanography, and astronomical imaging.
The book serves as a reference book and readers who do research in applied mathematics, engineering, geophysics, biomedicine, image processing, remote sensing, and environmental science will benefit from the contents since the book incorporates a background of using statistical and non-statistical methods, e.g., regularization and optimization techniques for solving practical inverse problems.
From the Back Cover
The book covers many directions in the modern theory of inverse and ill-posed problems: mathematical physics, optimal inverse design, inverse scattering, inverse vibration, biomedical imaging, oceanography, seismic imaging and remote sensing; methods including standard regularization, parallel computing for multidimensional problems, Nyström method, numerical differentiation, analytic continuation, perturbation regularization, filtering, optimization and sparse solving methods are fully addressed.
This issue attempts to bridge the gap between theoretical studies of ill-posed inverse problems and practical applications. It will be helpful to researchers and teachers in developing courses on various inverse and ill-posed problems of mathematical physics, geosciences, designing technology, imaging, high performance computing, inverse scattering and vibration, and so on. It could be also beneficial for senior undergraduate students, graduate and Ph.D. students, recent graduates getting practical experience, engineers and researchers who study inverse and ill-posed problems and solve them in practice.
About the Author
Yanfei Wang, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, China; Anatoly G. Yagola, Lomonosov Moscow State University, Russia; Changchun Yang, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, China.
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