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Author : Lawrence Colin
Publisher :
ISBN 13 :
Total Pages : 680 pages
Book Rating : 4.:/5 (317 download)
Download or read book Mathematics of Profile Inversion written by Lawrence Colin and published by . This book was released on 1972 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematics of Profile Inversion written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S. Twomey
Publisher : Courier Corporation
ISBN 13 : 0486781380
Total Pages : 302 pages
Book Rating : 4.4/5 (867 download)
Download or read book Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements written by S. Twomey and published by Courier Corporation. This book was released on 2014-02-04 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate-level monograph develops background and fundamental theory of inversion processes used in remote sensing (e.g. atmospheric temperature structure measurements from satellites), starting at elementary level. Largely self-contained; each chapter begins with elementary discussion outlining problems and questions to be covered. Suggestions for further reading.
Author : N. Bleistein
Publisher : Springer Science & Business Media
ISBN 13 : 9780387950617
Total Pages : 546 pages
Book Rating : 4.9/5 (56 download)
Download or read book Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion written by N. Bleistein and published by Springer Science & Business Media. This book was released on 2000-12-15 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: For more than 80 years, the oil and gas industry has used seismic methods to construct images and determine physical characteristics of rocks that can yield information about oil and gas bearing structures in the earth. This book presents the different seismic data processing methods, also known as seismic "migration," in a unified mathematical way. The book serves as a bridge between the applied math and geophysics communities by presenting geophysicists with a practical introduction to advanced engineering mathematics, while presenting mathematicians with a window into the world of the mathematically sophisticated geophysicist.
Author :
Publisher :
ISBN 13 :
Total Pages : 364 pages
Book Rating : 4.:/5 (3 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1985 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Charles W. Groetsch
Publisher : Springer Science & Business Media
ISBN 13 : 3322992020
Total Pages : 159 pages
Book Rating : 4.3/5 (229 download)
Download or read book Inverse Problems in the Mathematical Sciences written by Charles W. Groetsch and published by Springer Science & Business Media. This book was released on 2013-12-14 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems are immensely important in modern science and technology. However, the broad mathematical issues raised by inverse problems receive scant attention in the university curriculum. This book aims to remedy this state of affairs by supplying an accessible introduction, at a modest mathematical level, to the alluring field of inverse problems. Many models of inverse problems from science and engineering are dealt with and nearly a hundred exercises, of varying difficulty, involving mathematical analysis, numerical treatment, or modelling of inverse problems, are provided. The main themes of the book are: causation problem modeled as integral equations; model identification problems, posed as coefficient determination problems in differential equations; the functional analytic framework for inverse problems; and a survey of the principal numerical methods for inverse problems. An extensive annotated bibliography furnishes leads on the history of inverse problems and a guide to the frontiers of current research.
Author : N. Bleistein
Publisher : Springer Science & Business Media
ISBN 13 : 1461300010
Total Pages : 537 pages
Book Rating : 4.4/5 (613 download)
Download or read book Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion written by N. Bleistein and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: For more than 80 years, the oil and gas industry has used seismic methods to construct images and determine physical characteristics of rocks that can yield information about oil and gas bearing structures in the earth. This book presents the different seismic data processing methods, also known as seismic "migration," in a unified mathematical way. The book serves as a bridge between the applied math and geophysics communities by presenting geophysicists with a practical introduction to advanced engineering mathematics, while presenting mathematicians with a window into the world of the mathematically sophisticated geophysicist.
Author : Dilip N. Ghosh Roy
Publisher : CRC Press
ISBN 13 : 9780849362583
Total Pages : 506 pages
Book Rating : 4.3/5 (625 download)
Download or read book Methods of Inverse Problems in Physics written by Dilip N. Ghosh Roy and published by CRC Press. This book was released on 1991-03-14 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This interesting volume focuses on the second of the two broad categories into which problems of physical sciences fall-direct (or forward) and inverse (or backward) problems. It emphasizes one-dimensional problems because of their mathematical clarity. The unique feature of the monograph is its rigorous presentation of inverse problems (from quantum scattering to vibrational systems), transmission lines, and imaging sciences in a single volume. It includes exhaustive discussions on spectral function, inverse scattering integral equations of Gel'fand-Levitan and Marcenko, Povzner-Levitan and Levin transforms, Møller wave operators and Krein's functionals, S-matrix and scattering data, and inverse scattering transform for solving nonlinear evolution equations via inverse solving of a linear, isospectral Schrodinger equation and multisoliton solutions of the K-dV equation, which are of special interest to quantum physicists and mathematicians. The book also gives an exhaustive account of inverse problems in discrete systems, including inverting a Jacobi and a Toeplitz matrix, which can be applied to geophysics, electrical engineering, applied mechanics, and mathematics. A rigorous inverse problem for a continuous transmission line developed by Brown and Wilcox is included. The book concludes with inverse problems in integral geometry, specifically Radon's transform and its inversion, which is of particular interest to imaging scientists. This fascinating volume will interest anyone involved with quantum scattering, theoretical physics, linear and nonlinear optics, geosciences, mechanical, biomedical, and electrical engineering, and imaging research.
Author : M. Bertero
Publisher : CRC Press
ISBN 13 : 9781439822067
Total Pages : 366 pages
Book Rating : 4.8/5 (22 download)
Download or read book Introduction to Inverse Problems in Imaging written by M. Bertero and published by CRC Press. This book was released on 2020-08-30 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a graduate textbook on the principles of linear inverse problems, methods of their approximate solution, and practical application in imaging. The level of mathematical treatment is kept as low as possible to make the book suitable for a wide range of readers from different backgrounds in science and engineering. Mathematical prerequisites are first courses in analysis, geometry, linear algebra, probability theory, and Fourier analysis. The authors concentrate on presenting easily implementable and fast solution algorithms. With examples and exercises throughout, the book will provide the reader with the appropriate background for a clear understanding of the essence of inverse problems (ill-posedness and its cure) and, consequently, for an intelligent assessment of the rapidly growing literature on these problems.
Author : Khosrow Chadan
Publisher : SIAM
ISBN 13 : 9780898719710
Total Pages : 208 pages
Book Rating : 4.7/5 (197 download)
Download or read book An Introduction to Inverse Scattering and Inverse Spectral Problems written by Khosrow Chadan and published by SIAM. This book was released on 1997-01-01 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a clearly written introduction to three central areas of inverse problems: inverse problems in electromagnetic scattering theory, inverse spectral theory, and inverse problems in quantum scattering theory. Inverse problems, one of the most attractive parts of applied mathematics, attempt to obtain information about structures by nondestructive measurements. Based on a series of lectures presented by three of the authors, all experts in the field, the book provides a quick and easy way for readers to become familiar with the area through a survey of recent developments in inverse spectral and inverse scattering problems.
Author : K. Chadan
Publisher : Springer Science & Business Media
ISBN 13 : 3662121255
Total Pages : 364 pages
Book Rating : 4.6/5 (621 download)
Download or read book Inverse Problems in Quantum Scattering Theory written by K. Chadan and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Khosrow Chadan
Publisher : Springer Science & Business Media
ISBN 13 : 3642833179
Total Pages : 526 pages
Book Rating : 4.6/5 (428 download)
Download or read book Inverse Problems in Quantum Scattering Theory written by Khosrow Chadan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: The normal business of physicists may be schematically thought of as predic ting the motions of particles on the basis of known forces, or the propagation of radiation on the basis of a known constitution of matter. The inverse problem is to conclude what the forces or constitutions are on the basis of the observed motion. A large part of our sensory contact with the world around us depends on an intuitive solution of such an inverse problem: We infer the shape, size, and surface texture of external objects from their scattering and absorption of light as detected by our eyes. When we use scattering experiments to learn the size or shape of particles, or the forces they exert upon each other, the nature of the problem is similar, if more refined. The kinematics, the equations of motion, are usually assumed to be known. It is the forces that are sought, and how they vary from point to point. As with so many other physical ideas, the first one we know of to have touched upon the kind of inverse problem discussed in this book was Lord Rayleigh (1877). In the course of describing the vibrations of strings of variable density he briefly discusses the possibility of inferring the density distribution from the frequencies of vibration. This passage may be regarded as a precursor of the mathematical study of the inverse spectral problem some seventy years later.
Author : David L. Colton
Publisher : SIAM
ISBN 13 : 9780898712520
Total Pages : 234 pages
Book Rating : 4.7/5 (125 download)
Download or read book Inverse Problems in Partial Differential Equations written by David L. Colton and published by SIAM. This book was released on 1990-01-01 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jennifer L. Mueller
Publisher : SIAM
ISBN 13 : 9781611972344
Total Pages : 351 pages
Book Rating : 4.9/5 (723 download)
Download or read book Linear and Nonlinear Inverse Problems with Practical Applications written by Jennifer L. Mueller and published by SIAM. This book was released on 2012-11-30 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : William Edward Fitzgibbon
Publisher : SIAM
ISBN 13 : 9780898712056
Total Pages : 306 pages
Book Rating : 4.7/5 (12 download)
Download or read book Mathematical and Computational Methods in Seismic Exploration and Reservoir Modeling written by William Edward Fitzgibbon and published by SIAM. This book was released on 1986-01-01 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mikhail M. Lavrent'ev
Publisher : Walter de Gruyter
ISBN 13 : 3110915529
Total Pages : 288 pages
Book Rating : 4.1/5 (19 download)
Download or read book Inverse Problems of Mathematical Physics written by Mikhail M. Lavrent'ev and published by Walter de Gruyter. This book was released on 2012-05-07 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with the theory of inverse problems of mathematical physics and applications of such problems. Besides it considers applications and numerical methods of solving the problems under study. Descriptions of particular numerical experiments are also included.
Author : A. G. Tijhuis
Publisher : VSP
ISBN 13 : 9789067640930
Total Pages : 498 pages
Book Rating : 4.6/5 (49 download)
Download or read book Electromagnetic Inverse Profiling written by A. G. Tijhuis and published by VSP. This book was released on 1987-12 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is concerned with the direct-scattering of electromagnetic waves by one- and two-dimensional objects, and the use of this technique in one-dimensional inverse profiling. It discusses results of research into the method of this technique and its application to specific problems. Several techniques are presented for solving transient electromagnetic direct-scattering problems. These problems are solved indirectly, via a Fourier or Laplace transformation to the real- or complex-frequency domain, as well as directly in the time domain. For the one-dimensional case it is described how the special features of the respective techniques are also exploited to tackle the inverse problem of determining obstacle properties from the scattered field excited by a known incident field. The problems of both identification and of inverse profiling are addressed. For a range of specific problems representative numerical results are presented and discussed. Particular attention is devoted to the numerical implementation and to the physical interpretation of the theoretical numerical results obtained. With respect to inverse-scattering the emphasis is on the band-limiting effects that may arise due to approximation errors in the various inversion schemes employed.
