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Inverse Problems of Vibrational Spectroscopy

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Release : 2014-10-16
Genre : Mathematics
Kind : eBook
Book Rating : 263/5 ( reviews)

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Book Synopsis Inverse Problems of Vibrational Spectroscopy by : A. G. Yagola

Download or read book Inverse Problems of Vibrational Spectroscopy written by A. G. Yagola. This book was released on 2014-10-16. Available in PDF, EPUB and Kindle. Book excerpt: The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.

New Approaches to Inverse Problems in Vibrational Spectroscopy

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Release : 1993
Genre :
Kind : eBook
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Book Synopsis New Approaches to Inverse Problems in Vibrational Spectroscopy by : I. V. Kochikov

Download or read book New Approaches to Inverse Problems in Vibrational Spectroscopy written by I. V. Kochikov. This book was released on 1993. Available in PDF, EPUB and Kindle. Book excerpt:

Inverse problems in vibration

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Release : 2012-12-06
Genre : Technology & Engineering
Kind : eBook
Book Rating : 780/5 ( reviews)

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Book Synopsis Inverse problems in vibration by : G.M.L. Gladwell

Download or read book Inverse problems in vibration written by G.M.L. Gladwell. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The last thing one settles in writing a book is what one should put in first. Pascal's Pensees Classical vibration theory is concerned, in large part, with the infinitesimal (i. e. , linear) undamped free vibration of various discrete or continuous bodies. One of the basic problems in this theory is the determination of the natural frequencies (eigen frequencies or simply eigenvalues) and normal modes of the vibrating body. A body which is modelled as a discrete system' of rigid masses, rigid rods, massless springs, etc. , will be governed by an ordinary matrix differential equation in time t. It will have a finite number of eigenvalues, and the normal modes will be vectors, called eigenvectors. A body which is modelled as a continuous system will be governed by a partial differential equation in time and one or more spatial variables. It will have an infinite number of eigenvalues, and the normal modes will be functions (eigen functions) of the space variables. In the context of this classical theory, inverse problems are concerned with the construction of a model of a given type; e. g. , a mass-spring system, a string, etc. , which has given eigenvalues and/or eigenvectors or eigenfunctions; i. e. , given spec tral data. In general, if some such spectral data is given, there can be no system, a unique system, or many systems, having these properties.

Inverse Problems in Engineering Mechanics III

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Release : 2001-11-20
Genre : Computers
Kind : eBook
Book Rating : 143/5 ( reviews)

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Book Synopsis Inverse Problems in Engineering Mechanics III by : G.S. Dulikravich

Download or read book Inverse Problems in Engineering Mechanics III written by G.S. Dulikravich. This book was released on 2001-11-20. Available in PDF, EPUB and Kindle. Book excerpt: Inverse Problems are found in many areas of engineering mechanics and there are many successful applications e.g. in non-destructive testing and characterization of material properties by ultrasonic or X-ray techniques, thermography, etc. Generally speaking, inverse problems are concerned with the determination of the input and the characteristics of a system, given certain aspects of its output. Mathematically, such problems are ill-posed and have to be overcome through development of new computational schemes, regularization techniques, objective functionals, and experimental procedures. This volume contains a selection of peer-reviewed papers presented at the International Symposium on Inverse Problems in Engineering Mechanics (ISIP2001), held in February of 2001 in Nagano, Japan, where recent development in inverse problems in engineering mechanics and related topics were discussed. The following general areas in inverse problems in engineering mechanics were the subjects of the ISIP2001: mathematical and computational aspects of inverse problems, parameter or system identification, shape determination, sensitivity analysis, optimization, material property characterization, ultrasonic non-destructive testing, elastodynamic inverse problems, thermal inverse problems, and other engineering applications. These papers can provide a state-of-the-art review of the research on inverse problems in engineering mechanics.

Optimization and Regularization for Computational Inverse Problems and Applications

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Release : 2011-06-29
Genre : Mathematics
Kind : eBook
Book Rating : 423/5 ( reviews)

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Book Synopsis Optimization and Regularization for Computational Inverse Problems and Applications by : Yanfei Wang

Download or read book Optimization and Regularization for Computational Inverse Problems and Applications written by Yanfei Wang. This book was released on 2011-06-29. Available in PDF, EPUB and Kindle. Book excerpt: "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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