Inverse Nodal Problems: Finding the Potential from Nodal Lines

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Publisher : American Mathematical Soc.
ISBN 13 : 0821804863
Total Pages : 162 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Inverse Nodal Problems: Finding the Potential from Nodal Lines by : Ole H. Hald

Download or read book Inverse Nodal Problems: Finding the Potential from Nodal Lines written by Ole H. Hald and published by American Mathematical Soc.. This book was released on 1996 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we consider an eigenvalue problem which arises in the study of rectangular membranes. The mathematical model is an elliptic equation, in potential form, with Dirichlet boundary conditions. We show that the potential is uniquely determined, up to an additive constant, by a subset of the nodal lines of the eigenfunctions. A formula is shown which, when the additive constant is given, yields an approximation to the potential at a dense set of points. We present an estimate for the error made by the formula. A substantial part of this work is the derivation of the asymptotic forms for a rich set of eigenvalues and eigenfunctions for a large set of rectangles.

Inverse Nodal Problems Wth Mixed Boundary Conditions

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Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.:/5 (34 download)

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Book Synopsis Inverse Nodal Problems Wth Mixed Boundary Conditions by : Catharine Vetter Alvarez

Download or read book Inverse Nodal Problems Wth Mixed Boundary Conditions written by Catharine Vetter Alvarez and published by . This book was released on 1998 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Inverse Eigenvalue Problems

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Publisher : Oxford University Press
ISBN 13 : 0198566646
Total Pages : 408 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Inverse Eigenvalue Problems by : Moody Chu

Download or read book Inverse Eigenvalue Problems written by Moody Chu and published by Oxford University Press. This book was released on 2005-06-16 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse eigenvalue problems arise in a remarkable variety of applications and associated with any inverse eigenvalue problem are two fundamental questions--the theoretical issue of solvability and the practical issue of computability. Both questions are difficult and challenging. In this text, the authors discuss the fundamental questions, some known results, many applications, mathematical properties, a variety of numerical techniques, as well as several open problems.This is the first book in the authoritative Numerical Mathematics and Scientific Computation series to cover numerical linear algebra, a broad area of numerical analysis. Authored by two world-renowned researchers, the book is aimed at graduates and researchers in applied mathematics, engineering and computer science and makes an ideal graduate text.

Inverse Problems in Vibration

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Publisher : Springer Science & Business Media
ISBN 13 : 1402027214
Total Pages : 472 pages
Book Rating : 4.4/5 (2 download)

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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 and published by Springer Science & Business Media. This book was released on 2006-01-14 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the first, 1986, edition of this book, inverse problems in vibration were interpreted strictly: problems concerning the reconstruction of a unique, undamped vibrating system, of a specified type, from specified vibratory behaviour, particularly specified natural frequencies and/or natural mode shapes. In this new edition the scope of the book has been widened to include topics such as isospectral systems- families of systems which all exhibit some specified behaviour; applications of the concept of Toda flow; new, non-classical approaches to inverse Sturm-Liouville problems; qualitative properties of the modes of some finite element models; damage identification. With its emphasis on analysis, on qualitative results, rather than on computation, the book will appeal to researchers in vibration theory, matrix analysis, differential and integral equations, matrix analysis, non-destructive testing, modal analysis, vibration isolation, etc. "This book is a necessary addition to the library of engineers and mathematicians working in vibration theory." Mathematical Reviews

Surveys on Solution Methods for Inverse Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 3709162963
Total Pages : 279 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Surveys on Solution Methods for Inverse Problems by : David Colton

Download or read book Surveys on Solution Methods for Inverse Problems written by David Colton and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems are concerned with determining causes for observed or desired effects. Problems of this type appear in many application fields both in science and in engineering. The mathematical modelling of inverse problems usually leads to ill-posed problems, i.e., problems where solutions need not exist, need not be unique or may depend discontinuously on the data. For this reason, numerical methods for solving inverse problems are especially difficult, special methods have to be developed which are known under the term "regularization methods". This volume contains twelve survey papers about solution methods for inverse and ill-posed problems and about their application to specific types of inverse problems, e.g., in scattering theory, in tomography and medical applications, in geophysics and in image processing. The papers have been written by leading experts in the field and provide an up-to-date account of solution methods for inverse problems.

Inverse Problems For Electrical Networks

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Publisher : World Scientific
ISBN 13 : 9814493821
Total Pages : 198 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Inverse Problems For Electrical Networks by : Edward B Curtis

Download or read book Inverse Problems For Electrical Networks written by Edward B Curtis and published by World Scientific. This book was released on 2000-03-02 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a very timely exposition of part of an important subject which goes under the general name of “inverse problems”. The analogous problem for continuous media has been very much studied, with a great deal of difficult mathematics involved, especially partial differential equations. Some of the researchers working on the inverse conductivity problem for continuous media (the problem of recovering the conductivity inside from measurements on the outside) have taken an interest in the authors' analysis of this similar problem for resistor networks.The authors' treatment of inverse problems for electrical networks is at a fairly elementary level. It is accessible to advanced undergraduates, and mathematics students at the graduate level. The topics are of interest to mathematicians working on inverse problems, and possibly to electrical engineers. A few techniques from other areas of mathematics have been brought together in the treatment. It is this amalgamation of such topics as graph theory, medial graphs and matrix algebra, as well as the analogy to inverse problems for partial differential equations, that makes the book both original and interesting.

Inverse Problems in Wave Propagation

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Publisher : Springer Science & Business Media
ISBN 13 : 1461218780
Total Pages : 502 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Inverse Problems in Wave Propagation by : Guy Chavent

Download or read book Inverse Problems in Wave Propagation written by Guy Chavent and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems in wave propagation occur in geophysics, ocean acoustics, civil and environmental engineering, ultrasonic non-destructive testing, biomedical ultrasonics, radar, astrophysics, as well as other areas of science and technology. The papers in this volume cover these scientific and technical topics, together with fundamental mathematical investigations of the relation between waves and scatterers.

Issues in Mathematical Theory and Modeling: 2011 Edition

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Author :
Publisher : ScholarlyEditions
ISBN 13 : 1464966923
Total Pages : 466 pages
Book Rating : 4.4/5 (649 download)

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Book Synopsis Issues in Mathematical Theory and Modeling: 2011 Edition by :

Download or read book Issues in Mathematical Theory and Modeling: 2011 Edition written by and published by ScholarlyEditions. This book was released on 2012-01-09 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Mathematical Theory and Modeling / 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Mathematical Theory and Modeling. The editors have built Issues in Mathematical Theory and Modeling: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Mathematical Theory and Modeling in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Mathematical Theory and Modeling: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition

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Publisher : ScholarlyEditions
ISBN 13 : 1490110119
Total Pages : 1187 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition by :

Download or read book Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition written by and published by ScholarlyEditions. This book was released on 2013-05-01 with total page 1187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Random Structures and Algorithms. The editors have built Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Random Structures and Algorithms in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Eigenvalues of Inhomogeneous Structures

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Publisher : CRC Press
ISBN 13 : 142003801X
Total Pages : 746 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Eigenvalues of Inhomogeneous Structures by : Isaac Elishakoff

Download or read book Eigenvalues of Inhomogeneous Structures written by Isaac Elishakoff and published by CRC Press. This book was released on 2004-10-28 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt: The engineering community generally accepts that there exists only a small set of closed-form solutions for simple cases of bars, beams, columns, and plates. Despite the advances in powerful computing and advanced numerical techniques, closed-form solutions remain important for engineering; these include uses for preliminary design, for evaluation

Dynamic Methods for Damage Detection in Structures

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Publisher : Springer Science & Business Media
ISBN 13 : 3211787771
Total Pages : 225 pages
Book Rating : 4.2/5 (117 download)

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Book Synopsis Dynamic Methods for Damage Detection in Structures by : Antonino Morassi

Download or read book Dynamic Methods for Damage Detection in Structures written by Antonino Morassi and published by Springer Science & Business Media. This book was released on 2008-12-11 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non destructive testing aimed at monitoring, structural identification and di- nostics is of strategic importance in many branches of civil and mechanical - gineering. This type of tests is widely practiced and directly affects topical issues regarding the design of new buildings and the repair and monitoring of existing ones. The load bearing capacity of a structure can now be evaluated using well established mechanical modelling methods aided by computing facilities of great capability. However, to ensure reliable results, models must be calibrated with - curate information on the characteristics of materials and structural components. To this end, non destructive techniques are a useful tool from several points of view. Particularly, by measuring structural response, they provide guidance on the validation of structural descriptions or of the mathematical models of material behaviour. Diagnostic engineering is a crucial area for the application of non destructive testing methods. Repeated tests over time can indicate the emergence of p- sible damage occurring during the structure's lifetime and provide quantitative estimates of the level of residual safety.

Inverse Methods in Action

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Publisher : Springer Science & Business Media
ISBN 13 : 3642752985
Total Pages : 645 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Inverse Methods in Action by : Pierre C. Sabatier

Download or read book Inverse Methods in Action written by Pierre C. Sabatier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 645 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of a meeting held at Montpellier from November 27th to December 1st 1989 and entitled "Inverse Problems Multicen tennials Meeting". It was held in honor of two major centennials: the foundation of Montpellier University in 1289 and the French Revolution of 1789. The meet ing was one of a series of annual meetings on interdisciplinary aspects of inverse problems organized in Montpellier since 1972 and known as "RCP 264". The meeting was sponsored by the Centre National de la Recherche Scientifique (con tract GR 264) and by the Direction des Recherches et Etudes Techniques (contract 88 CO 283). The Proceedings are presented by chapters on different topics, the choice of topic often being arbitrary. The chapter titles are "Tomographic Inverse Problems", "Distributed Parameters Inverse Problems", "Spectral Inverse Problems (Exact Methods)", "Theoretical hnaging", "Wave Propagation and Scattering Problems (hnaging and Numerical Methods)", "Miscellaneous Problems", "Inverse Methods and Applications to Nonlinear Problems". In each chapter but the first, the papers have been sorted alphabetically according to author*. In the first chapter, a set of theoretical papers is presented first, then more applied ones. There are so many well-known and excellent lectures that I will not try to refer to them all here (the reader will be easily convinced by reading the Table of Contents). My comments at the conference are summarized by the short scientific introduction at the beginning of the volume.

Progress In Nonlinear Analysis - Proceedings Of The Second International Conference On Nonlinear Analysis

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Publisher : World Scientific
ISBN 13 : 9814492949
Total Pages : 468 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Progress In Nonlinear Analysis - Proceedings Of The Second International Conference On Nonlinear Analysis by : Kung-ching Chang

Download or read book Progress In Nonlinear Analysis - Proceedings Of The Second International Conference On Nonlinear Analysis written by Kung-ching Chang and published by World Scientific. This book was released on 2000-07-24 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: The real world is complicated, as a result of which most mathematical models arising from mechanics, physics, chemistry and biology are nonlinear. Based on the efforts of scientists in the 20th century, especially in the last three decades, topological, variational, geometrical and other methods have developed rapidly in nonlinear analysis, which made direct studies of nonlinear models possible in many cases, and provided global information on nonlinear problems which was not available by the traditional linearization method. This volume reflects that rapid development in many areas of nonlinear analysis.

Applied Mechanics Reviews

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Publisher :
ISBN 13 :
Total Pages : 834 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1996 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Techniques And Applications - Proceedings Of The Sixth Biennial Conference

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Publisher : World Scientific
ISBN 13 : 9814552690
Total Pages : 552 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Computational Techniques And Applications - Proceedings Of The Sixth Biennial Conference by : Henry J Gardner

Download or read book Computational Techniques And Applications - Proceedings Of The Sixth Biennial Conference written by Henry J Gardner and published by World Scientific. This book was released on 1994-06-28 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers on computational mathematics, development, implementation, and application of numerical algorithms, the development and application of computational systems, and numerical modelling. Also featured are reports on applications of advanced computer architectures and innovative visualisation techniques. It will be a help for developers and implementors of computational methods who wish to find out more about the work of those applying the technology to problems in engineering and science, and vice versa.

Recent Development in Theories & Numerics

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Publisher : World Scientific
ISBN 13 : 9812383662
Total Pages : 473 pages
Book Rating : 4.8/5 (123 download)

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Book Synopsis Recent Development in Theories & Numerics by : Yiu-Chung Hon

Download or read book Recent Development in Theories & Numerics written by Yiu-Chung Hon and published by World Scientific. This book was released on 2003 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation. Proceedings from the First International Conference on Inverse Problems, Recent Theoretical Development and Numerical Approaches, held at the City University of Hong Kong from January 9-12, 2002.

The Radon Transform and Medical Imaging

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Publisher : SIAM
ISBN 13 : 1611973295
Total Pages : 238 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis The Radon Transform and Medical Imaging by : Peter Kuchment

Download or read book The Radon Transform and Medical Imaging written by Peter Kuchment and published by SIAM. This book was released on 2014-01-01 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys the main mathematical ideas and techniques behind some well-established imaging modalities such as X-ray CT and emission tomography, as well as a variety of newly developing coupled-physics or hybrid techniques, including thermoacoustic tomography. The Radon Transform and Medical Imaging emphasizes mathematical techniques and ideas arising across the spectrum of medical imaging modalities and explains important concepts concerning inversion, stability, incomplete data effects, the role of interior information, and other issues critical to all medical imaging methods. For nonexperts, the author provides appendices that cover background information on notation, Fourier analysis, geometric rays, and linear operators. The vast bibliography, with over 825 entries, directs readers to a wide array of additional information sources on medical imaging for further study.