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Author : Roland Potthast
Publisher :
ISBN 13 :
Total Pages : 171 pages
Book Rating : 4.:/5 (54 download)
Download or read book Point Sources and Multipoles in Inverse Scattering Theory written by Roland Potthast and published by . This book was released on 1999 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roland Potthast
Publisher : CRC Press
ISBN 13 : 1420035487
Total Pages : 302 pages
Book Rating : 4.4/5 (2 download)
Download or read book Point Sources and Multipoles in Inverse Scattering Theory written by Roland Potthast and published by CRC Press. This book was released on 2001-05-30 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last twenty years, the growing availability of computing power has had an enormous impact on the classical fields of direct and inverse scattering. The study of inverse scattering, in particular, has developed rapidly with the ability to perform computational simulations of scattering processes and led to remarkable advances in a range of applications, from medical imaging and radar to remote sensing and seismic exploration. Point Sources and Multipoles in Inverse Scattering Theory provides a survey of recent developments in inverse acoustic and electromagnetic scattering theory. Focusing on methods developed over the last six years by Colton, Kirsch, and the author, this treatment uses point sources combined with several far-reaching techniques to obtain qualitative reconstruction methods. The author addresses questions of uniqueness, stability, and reconstructions for both two-and three-dimensional problems. With interest in extracting information about an object through scattered waves at an all-time high, Point Sources and Multipoles in Inverse Scattering Theory provides a valuable source of information from both the mathematical and applications perspectives. It offers insight into the general recovery of information from incomplete data and has direct, practical relevance to work on image reconstruction.
Author : Ivan Graham
Publisher : Walter de Gruyter
ISBN 13 : 3110282283
Total Pages : 323 pages
Book Rating : 4.1/5 (12 download)
Download or read book Direct and Inverse Problems in Wave Propagation and Applications written by Ivan Graham and published by Walter de Gruyter. This book was released on 2013-10-14 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the third volume of three volume series recording the "Radon Special Semester 2011 on Multiscale Simulation & Analysis in Energy and the Environment" taking place in Linz, Austria, October 3-7, 2011. This book surveys recent developments in the analysis of wave propagation problems. The topics covered include aspects of the forward problem and problems in inverse problems, as well as applications in the earth sciences. Wave propagation problems are ubiquitous in environmental applications such as seismic analysis, acoustic and electromagnetic scattering. The design of efficient numerical methods for the forward problem, in which the scattered field is computed from known geometric configurations is very challenging due to the multiscale nature of the problems. Even more challenging are inverse problems where material parameters and configurations have to be determined from measurements in conjunction with the forward problem. This book contains review articles covering several state-of-the-art numerical methods for both forward and inverse problems. This collection of survey articles focusses on the efficient computation of wave propagation and scattering is a core problem in numerical mathematics, which is currently of great research interest and is central to many applications in energy and the environment. Two generic applications which resonate strongly with the central aims of the Radon Special Semester 2011 are forward wave propagation in heterogeneous media and seismic inversion for subsurface imaging. As an example of the first application, modelling of absorption and scattering of radiation by clouds, aerosol and precipitation is used as a tool for interpretation of (e.g.) solar, infrared and radar measurements, and as a component in larger weather/climate prediction models in numerical weather forecasting. As an example of the second application, inverse problems in wave propagation in heterogeneous media arise in the problem of imaging the subsurface below land or marine deposits. The book records the achievements of Workshop 3 "Wave Propagation and Scattering, Inverse Problems and Applications in Energy and the Environment". It brings together key numerical mathematicians whose interest is in the analysis and computation of wave propagation and scattering problems, and in inverse problems, together with practitioners from engineering and industry whose interest is in the applications of these core problems.
Author : Xudong Chen
Publisher : John Wiley & Sons
ISBN 13 : 1119311985
Total Pages : 325 pages
Book Rating : 4.1/5 (193 download)
Download or read book Computational Methods for Electromagnetic Inverse Scattering written by Xudong Chen and published by John Wiley & Sons. This book was released on 2018-07-18 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and updated overview of the theory, algorithms and applications of for electromagnetic inverse scattering problems Offers the recent and most important advances in inverse scattering grounded in fundamental theory, algorithms and practical engineering applications Covers the latest, most relevant inverse scattering techniques like signal subspace methods, time reversal, linear sampling, qualitative methods, compressive sensing, and noniterative methods Emphasizes theory, mathematical derivation and physical insights of various inverse scattering problems Written by a leading expert in the field
Author : Jingzhi Li
Publisher : Springer Nature
ISBN 13 : 9819937728
Total Pages : 373 pages
Book Rating : 4.8/5 (199 download)
Download or read book Numerical Methods for Inverse Scattering Problems written by Jingzhi Li and published by Springer Nature. This book was released on 2023-09-07 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the latest developments on the numerical methods for inverse scattering problems associated with acoustic, electromagnetic, and elastic waves. Inverse scattering problems are concerned with identifying unknown or inaccessible objects by wave probing data, which makes possible many industrial and engineering applications including radar and sonar, medical imaging, nondestructive testing, remote sensing, and geophysical exploration. The mathematical study of inverse scattering problems is an active field of research. This book presents a comprehensive and unified mathematical treatment of various inverse scattering problems mainly from a numerical reconstruction perspective. It highlights the collaborative research outputs by the two groups of the authors yet surveys and reviews many existing results by global researchers in the literature. The book consists of three parts respectively corresponding to the studies on acoustic, electromagnetic, and elastic scattering problems. In each part, the authors start with in-depth theoretical and computational treatments of the forward scattering problems and then discuss various numerical reconstruction schemes for the associated inverse scattering problems in different scenarios of practical interest. In addition, the authors provide an overview of the existing results in the literature by other researchers. This book can serve as a handy reference for researchers or practitioners who are working on or implementing inverse scattering methods. It can also serve as a graduate textbook for research students who are interested in working on numerical algorithms for inverse scattering problems.
Author : Habib Ammari
Publisher : American Mathematical Soc.
ISBN 13 : 0821839683
Total Pages : 278 pages
Book Rating : 4.8/5 (218 download)
Download or read book Inverse Problems, Multi-Scale Analysis, and Effective Medium Theory written by Habib Ammari and published by American Mathematical Soc.. This book was released on 2006 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments in inverse problems, multi-scale analysis and effective medium theory reveal that these fields share several fundamental concepts. This book is the proceedings of the research conference, ``Workshop in Seoul: Inverse Problems, Multi-Scale Analysis and Homogenization,'' held at Seoul National University, June 22-24, 2005. It highlights the benefits of sharing ideas among these areas, of merging the expertise of scientists working there, and of directing interest towards challenging issues such as imaging nanoscience and biological imaging. Contributions are written by prominent experts and are of interest to researchers and graduate students interested in partial differential equations and applications.
Author : David Colton
Publisher : Springer Science & Business Media
ISBN 13 : 1461449413
Total Pages : 419 pages
Book Rating : 4.4/5 (614 download)
Download or read book Inverse Acoustic and Electromagnetic Scattering Theory written by David Colton and published by Springer Science & Business Media. This book was released on 2012-10-26 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: The inverse scattering problem is central to many areas of science and technology such as radar and sonar, medical imaging, geophysical exploration and nondestructive testing. This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves. In this third edition, new sections have been added on the linear sampling and factorization methods for solving the inverse scattering problem as well as expanded treatments of iteration methods and uniqueness theorems for the inverse obstacle problem. These additions have in turn required an expanded presentation of both transmission eigenvalues and boundary integral equations in Sobolev spaces. As in the previous editions, emphasis has been given to simplicity over generality thus providing the reader with an accessible introduction to the field of inverse scattering theory. Review of earlier editions: “Colton and Kress have written a scholarly, state of the art account of their view of direct and inverse scattering. The book is a pleasure to read as a graduate text or to dip into at leisure. It suggests a number of open problems and will be a source of inspiration for many years to come.” SIAM Review, September 1994 “This book should be on the desk of any researcher, any student, any teacher interested in scattering theory.” Mathematical Intelligencer, June 1994
Author : Christos Massalas
Publisher : World Scientific
ISBN 13 : 981238054X
Total Pages : 472 pages
Book Rating : 4.8/5 (123 download)
Download or read book Scattering and Biomedical Engineering written by Christos Massalas and published by World Scientific. This book was released on 2002 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with scattering theory, applied mathematics, modeling and biomedical engineering. Most of the papers describe mathematical methods, numerical solutions and models for well-known problems in those areas.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)
Author : Kenrick Bingham
Publisher : Springer Science & Business Media
ISBN 13 : 9783540406822
Total Pages : 410 pages
Book Rating : 4.4/5 (68 download)
Download or read book New Analytic and Geometric Methods in Inverse Problems written by Kenrick Bingham and published by Springer Science & Business Media. This book was released on 2003-11-05 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: In inverse problems, the aim is to obtain, via a mathematical model, information on quantities that are not directly observable but rather depend on other observable quantities. Inverse problems are encountered in such diverse areas of application as medical imaging, remote sensing, material testing, geosciences and financing. It has become evident that new ideas coming from differential geometry and modern analysis are needed to tackle even some of the most classical inverse problems. This book contains a collection of presentations, written by leading specialists, aiming to give the reader up-to-date tools for understanding the current developments in the field.
Author : Mark Ainsworth
Publisher : Springer Science & Business Media
ISBN 13 : 3642554830
Total Pages : 408 pages
Book Rating : 4.6/5 (425 download)
Download or read book Topics in Computational Wave Propagation written by Mark Ainsworth and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: These ten detailed and authoritative survey articles on numerical methods for direct and inverse wave propagation problems are written by leading experts. Researchers and practitioners in computational wave propagation, from postgraduate level onwards, will find the breadth and depth of coverage of recent developments a valuable resource. The articles describe a wide range of topics on the application and analysis of methods for time and frequency domain PDE and boundary integral formulations of wave propagation problems. Electromagnetic, seismic and acoustic equations are considered. Recent developments in methods and analysis ranging from finite differences to hp-adaptive finite elements, including high-accuracy and fast methods are described with extensive references.
Author : Dimitrios Ioannou Fotiadis
Publisher : World Scientific
ISBN 13 : 9812389245
Total Pages : 648 pages
Book Rating : 4.8/5 (123 download)
Download or read book Advances in Scattering and Biomedical Engineering written by Dimitrios Ioannou Fotiadis and published by World Scientific. This book was released on 2004 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of the papers presented at the 6th International Workshop on Scattering Theory and Biomedical Engineering. Organized every two years, this workshop provides an overview of the hot topics in scattering theory and biomedical technology, and brings together young researchers and senior scientists, creating a forum for the exchange of new scientific ideas. At the sixth meeting, all the invited speakers, who are recognized as being eminent in their field and, more important, as being stimulating speakers, presented their latest achievements.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings? (ISTP? / ISI Proceedings)? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Biomedical, Biological & Agricultural Sciences
Author : Dimitrios I Fotiadis
Publisher : World Scientific
ISBN 13 : 9814482269
Total Pages : 648 pages
Book Rating : 4.8/5 (144 download)
Download or read book Advances in Scattering and Biomedical Engineering written by Dimitrios I Fotiadis and published by World Scientific. This book was released on 2004-07-21 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of the papers presented at the 6th International Workshop on Scattering Theory and Biomedical Engineering. Organized every two years, this workshop provides an overview of the hot topics in scattering theory and biomedical technology, and brings together young researchers and senior scientists, creating a forum for the exchange of new scientific ideas. At the sixth meeting, all the invited speakers, who are recognized as being eminent in their field and, more important, as being stimulating speakers, presented their latest achievements. The proceedings have been selected for coverage in: • Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings) • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings) • CC Proceedings — Biomedical, Biological & Agricultural Sciences Contents:Scattering Theory:On the Elastic Scattering Problem from Cubic Anisotropic Inclusions (K A Anagnostopoulos & A Charalambopoulos)On the Scattering of Spherical Electromagnetic Waves by a Penetrable Chiral Obstacle (C Athanasiadis et al.)A Factorization Methods for Maxwell's Equations (A Kirsch)Acoustic Scattering by an Impenetrable Spheroid (J A Roumeliotis et al.)Applied Mathematics:Wave Dispersion Phenomena in Concrete (D G Aggelis & D Polyzos)Homogenization of Maxwell's Equations in Dissipative Bianisotropic Media (G Barbatis & I G Stratis)Moment's Method for Inverse Boundary Value Problems (Y Kurylev)Cleaning Astronomical Databases Using Hough Transforms and Renewal Strings (C K I Williams et al.)Mesh Modeling and its Applications in Image Processing (Y Yang)Biomedical Engineering:Autoregressive Spectral Analysis of Phrenic Neurogram Before and After Vagotomy in the Piglet (S Agner & M Akay)Classifying Patterns Relating to the Early Development of Posttraumatic Stress Disorder Using Principal Components Analysis (B Knorr et al.)Fingerprint Verification Based on Image Processing Segmentation Using an Onion Algorithm of Computational Geometry (M Poulos et al.)and other papers Readership: Graduate students, academics and researchers in biomedical engineering, bioinformatics and mathematical biology. Keywords:Applied Mathematics;Scattering Theory;Biomedical Engineering
Author : Hiroshi Isozaki
Publisher : American Mathematical Soc.
ISBN 13 : 0821834215
Total Pages : 243 pages
Book Rating : 4.8/5 (218 download)
Download or read book Inverse Problems and Spectral Theory written by Hiroshi Isozaki and published by American Mathematical Soc.. This book was released on 2004 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume grew out of a workshop on spectral theory of differential operators and inverse problems held at the Research Institute for Mathematical Sciences (Kyoto University). The gathering of nearly 100 participants at the conference suggests the increasing interest in this field of research. The focus of the book is on spectral theory for differential operators and related inverse problems. It includes selected topics from the following areas: electromagnetism, elasticity, the Schrodinger equation, differential geometry, and numerical analysis. The material is suitable for graduate students and researchers interested in inverse problems and their applications.
Author : Rainer Kress
Publisher : Springer Science & Business Media
ISBN 13 : 1461495938
Total Pages : 412 pages
Book Rating : 4.4/5 (614 download)
Download or read book Linear Integral Equations written by Rainer Kress and published by Springer Science & Business Media. This book was released on 2013-12-04 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book combines theory, applications, and numerical methods, and covers each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers alike, the author has made it as self-contained as possible, requiring only a solid foundation in differential and integral calculus. The functional analysis which is necessary for an adequate treatment of the theory and the numerical solution of integral equations is developed within the book itself. Problems are included at the end of each chapter. For this third edition in order to make the introduction to the basic functional analytic tools more complete the Hahn–Banach extension theorem and the Banach open mapping theorem are now included in the text. The treatment of boundary value problems in potential theory has been extended by a more complete discussion of integral equations of the first kind in the classical Holder space setting and of both integral equations of the first and second kind in the contemporary Sobolev space setting. In the numerical solution part of the book, the author included a new collocation method for two-dimensional hypersingular boundary integral equations and a collocation method for the three-dimensional Lippmann-Schwinger equation. The final chapter of the book on inverse boundary value problems for the Laplace equation has been largely rewritten with special attention to the trilogy of decomposition, iterative and sampling methods Reviews of earlier editions: "This book is an excellent introductory text for students, scientists, and engineers who want to learn the basic theory of linear integral equations and their numerical solution." (Math. Reviews, 2000) "This is a good introductory text book on linear integral equations. It contains almost all the topics necessary for a student. The presentation of the subject matter is lucid, clear and in the proper modern framework without being too abstract." (ZbMath, 1999)
Author : Mezhlum A. Sumbatyan
Publisher : Springer
ISBN 13 : 9811037973
Total Pages : 258 pages
Book Rating : 4.8/5 (11 download)
Download or read book Wave Dynamics and Composite Mechanics for Microstructured Materials and Metamaterials written by Mezhlum A. Sumbatyan and published by Springer. This book was released on 2017-03-28 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with topical problems concerning technology and design in construction of modern metamaterials. The authors construct the models of mechanical, electromechanical and acoustical behavior of the metamaterials, which are founded upon mechanisms existing on micro-level in interaction of elementary structures of the material. The empiric observations on the phenomenological level are used to test the created models. The book provides solutions, based on fundamental methods and models using the theory of wave propagation, nonlinear theories and composite mechanics for media with micro- and nanostructure. They include the models containing arrays of cracks, defects, with presence of micro- and nanosize piezoelectric elements and coupled physical-mechanical fields of different nature. The investigations show that the analytical, numerical and experimental methods permit evaluation of the qualitative and quantitative properties of the materials of this sort, with diagnosis of their effective characteristics, frequency intervals of effective energetic cutting and passing, as well as effective regimes of damage evaluation by the acoustic methods.
Author : Yanfei Wang
Publisher : Springer Science & Business Media
ISBN 13 : 3642137423
Total Pages : 400 pages
Book Rating : 4.6/5 (421 download)
Download or read book Optimization and Regularization for Computational Inverse Problems and Applications written by Yanfei Wang and published by Springer Science & Business Media. This book was released on 2011-06-29 with total page 400 pages. 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.
Author : Victor Isakov
Publisher : Springer
ISBN 13 : 3319516582
Total Pages : 406 pages
Book Rating : 4.3/5 (195 download)
Download or read book Inverse Problems for Partial Differential Equations written by Victor Isakov and published by Springer. This book was released on 2017-02-24 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive description of the current theoretical and numerical aspects of inverse problems in partial differential equations. Applications include recovery of inclusions from anomalies of their gravity fields, reconstruction of the interior of the human body from exterior electrical, ultrasonic, and magnetic measurement. By presenting the data in a readable and informative manner, the book introduces both scientific and engineering researchers as well as graduate students to the significant work done in this area in recent years, relating it to broader themes in mathematical analysis.
