Computational Methods For Applied Inverse Problems

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Author: Yanfei Wang
Publisher: Walter de Gruyter
ISBN: 3110259052
Size: 80.81 MB
Format: PDF, ePub, Mobi
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Computational Methods For Applied Inverse Problems by Yanfei Wang


Original Title: Computational Methods For Applied Inverse Problems

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. 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.

Optimization And Regularization For Computational Inverse Problems And Applications

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Author: Yanfei Wang
Publisher: Springer Science & Business Media
ISBN: 9783642137426
Size: 74.35 MB
Format: PDF, Kindle
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Optimization And Regularization For Computational Inverse Problems And Applications by Yanfei Wang


Original Title: Optimization And Regularization For Computational Inverse Problems And Applications

"Optimization and Regularization for Computational Inverse Problems and Applications" focuses on advances in inversion theory and recent developments with practical applications, particularly emphasizing the combination of optimization and regularization for solving inverse problems. This book covers both the methods, including standard regularization theory, Fejer processes for linear and nonlinear problems, the balancing principle, extrapolated regularization, nonstandard regularization, nonlinear gradient method, the nonmonotone gradient method, subspace method and Lie group method; and the practical applications, such as the reconstruction problem for inverse scattering, molecular spectra data processing, quantitative remote sensing inversion, seismic inversion using the Lie group method, and the gravitational lensing problem. Scientists, researchers and engineers, as well as graduate students engaged in applied mathematics, engineering, geophysics, medical science, image processing, remote sensing and atmospheric science will benefit from this book. Dr. Yanfei Wang is a Professor at the Institute of Geology and Geophysics, Chinese Academy of Sciences, China. Dr. Sc. Anatoly G. Yagola is a Professor and Assistant Dean of the Physical Faculty, Lomonosov Moscow State University, Russia. Dr. Changchun Yang is a Professor and Vice Director of the Institute of Geology and Geophysics, Chinese Academy of Sciences, China.

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