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.

An Introduction to the Mathematical Theory of Inverse Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 1441984747
Total Pages : 314 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis An Introduction to the Mathematical Theory of Inverse Problems by : Andreas Kirsch

Download or read book An Introduction to the Mathematical Theory of Inverse Problems written by Andreas Kirsch and published by Springer Science & Business Media. This book was released on 2011-03-24 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to the area of inverse problems. The study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration, system identification, nondestructive testing and ultrasonic tomography. The aim of this book is twofold: in the first part, the reader is exposed to the basic notions and difficulties encountered with ill-posed problems. Basic properties of regularization methods for linear ill-posed problems are studied by means of several simple analytical and numerical examples. The second part of the book presents two special nonlinear inverse problems in detail - the inverse spectral problem and the inverse scattering problem. The corresponding direct problems are studied with respect to existence, uniqueness and continuous dependence on parameters. Then some theoretical results as well as numerical procedures for the inverse problems are discussed. The choice of material and its presentation in the book are new, thus making it particularly suitable for graduate students. Basic knowledge of real analysis is assumed. In this new edition, the Factorization Method is included as one of the prominent members in this monograph. Since the Factorization Method is particularly simple for the problem of EIT and this field has attracted a lot of attention during the past decade a chapter on EIT has been added in this monograph as Chapter 5 while the chapter on inverse scattering theory is now Chapter 6.The main changes of this second edition compared to the first edition concern only Chapters 5 and 6 and the Appendix A. Chapter 5 introduces the reader to the inverse problem of electrical impedance tomography.

Dynamical Inverse Problems: Theory and Application

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Publisher : Springer Science & Business Media
ISBN 13 : 3709106966
Total Pages : 229 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Dynamical Inverse Problems: Theory and Application by : Graham M. L. Gladwell

Download or read book Dynamical Inverse Problems: Theory and Application written by Graham M. L. Gladwell and published by Springer Science & Business Media. This book was released on 2011-05-25 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume present an overview of the general aspects and practical applications of dynamic inverse methods, through the interaction of several topics, ranging from classical and advanced inverse problems in vibration, isospectral systems, dynamic methods for structural identification, active vibration control and damage detection, imaging shear stiffness in biological tissues, wave propagation, to computational and experimental aspects relevant for engineering problems.

An Introduction to Inverse Scattering and Inverse Spectral Problems

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Publisher : SIAM
ISBN 13 : 9780898719710
Total Pages : 208 pages
Book Rating : 4.7/5 (197 download)

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Book Synopsis An Introduction to Inverse Scattering and Inverse Spectral Problems by : Khosrow Chadan

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.

An Introduction To Inverse Problems In Physics

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Publisher : World Scientific
ISBN 13 : 9811221685
Total Pages : 387 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis An Introduction To Inverse Problems In Physics by : Mohsen Razavy

Download or read book An Introduction To Inverse Problems In Physics written by Mohsen Razavy and published by World Scientific. This book was released on 2020-05-21 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation of different methods of formulating and solving inverse problems in physics from classical mechanics to the potentials and nucleus-nucleus scattering. Mathematical proofs are omitted since excellent monographs already exist dealing with these aspects of the inverse problems.The emphasis here is on finding numerical solutions to complicated equations. A detailed discussion is presented on the use of continued fractional expansion, its power and its limitation as applied to various physical problems. In particular, the inverse problem for discrete form of the wave equation is given a detailed exposition and applied to atomic and nuclear scattering, in the latter for elastic as well as inelastic collision. This technique is also used for inverse problem of geomagnetic induction and one-dimensional electrical conductivity. Among other topics covered are the inverse problem of torsional vibration, and also a chapter on the determination of the motion of a body with reflecting surface from its reflection coefficient.

Inverse problems in vibration

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Publisher : Springer Science & Business Media
ISBN 13 : 9401511780
Total Pages : 272 pages
Book Rating : 4.4/5 (15 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 2012-12-06 with total page 272 pages. 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.

Well-posed, Ill-posed, and Intermediate Problems with Applications

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Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110195305
Total Pages : 245 pages
Book Rating : 4.1/5 (11 download)

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Book Synopsis Well-posed, Ill-posed, and Intermediate Problems with Applications by : Petrov Yuri P.

Download or read book Well-posed, Ill-posed, and Intermediate Problems with Applications written by Petrov Yuri P. and published by Walter de Gruyter. This book was released on 2011-12-22 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with one of the key problems in applied mathematics, namely the investigation into and providing for solution stability in solving equations with due allowance for inaccuracies in set initial data, parameters and coefficients of a mathematical model for an object under study, instrumental function, initial conditions, etc., and also with allowance for miscalculations, including roundoff errors. Until recently, all problems in mathematics, physics and engineering were divided into two classes: well-posed problems and ill-posed problems. The authors introduce a third class of problems: intermediate ones, which are problems that change their property of being well- or ill-posed on equivalent transformations of governing equations, and also problems that display the property of being either well- or ill-posed depending on the type of the functional space used. The book is divided into two parts: Part one deals with general properties of all three classes of mathematical, physical and engineering problems with approaches to solve them; Part two deals with several stable models for solving inverse ill-posed problems, illustrated with numerical examples.

Investigation Methods for Inverse Problems

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110943840
Total Pages : 292 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Investigation Methods for Inverse Problems by : Vladimir G. Romanov

Download or read book Investigation Methods for Inverse Problems written by Vladimir G. Romanov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-10-10 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with some inverse problems of mathematical physics. It introduces new methods for studying inverse problems and gives obtained results, which are related to the conditional well posedness of the problems. The main focus lies on time-domain inverse problems for hyperbolic equations and the kinetic transport equation.

Inverse Scattering Theory and Transmission Eigenvalues

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Publisher : SIAM
ISBN 13 : 1611974461
Total Pages : 200 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Inverse Scattering Theory and Transmission Eigenvalues by : Fioralba Cakoni

Download or read book Inverse Scattering Theory and Transmission Eigenvalues written by Fioralba Cakoni and published by SIAM. This book was released on 2016-10-28 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse scattering theory is a major theme of applied mathematics, and it has applications to such diverse areas as medical imaging, geophysical exploration, and nondestructive testing. The inverse scattering problem is both nonlinear and ill-posed, thus presenting particular problems in the development of efficient inversion algorithms. Although linearized models continue to play an important role in many applications, an increased need to focus on problems in which multiple scattering effects cannot be ignored has led to a central role for nonlinearity, and the possibility of collecting large amounts of data over limited regions of space means that the ill-posed nature of the inverse scattering problem has become a problem of central importance.? Initial efforts to address the nonlinear and the ill-posed nature of the inverse scattering problem focused on nonlinear optimization methods. While efficient in many situations, strong a priori information is necessary for their implementation. This problem led to a qualitative approach to inverse scattering theory in which the amount of a priori information is drastically reduced, although at the expense of only obtaining limited information about the values of the constitutive parameters. This qualitative approach (the linear sampling method, the factorization method, the theory of transmission eigenvalues, etc.) is the theme of Inverse Scattering Theory and Transmission Eigenvalues.? The authors begin with a basic introduction to the theory, then proceed to more recent developments, including a detailed discussion of the transmission eigenvalue problem; present the new generalized linear sampling method in addition to the well-known linear sampling and factorization methods; and in order to achieve clarification of presentation, focus on the inverse scattering problem for scalar homogeneous media.?

Computational Methods for Applied Inverse Problems

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Publisher : Walter de Gruyter
ISBN 13 : 3110259052
Total Pages : 552 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Computational Methods for Applied Inverse Problems by : Yanfei Wang

Download or read book Computational Methods for Applied Inverse Problems written by Yanfei Wang and published by Walter de Gruyter. This book was released on 2012-10-30 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nowadays inverse problems and applications in science and engineering represent an extremely active research field. The subjects are related to mathematics, physics, geophysics, geochemistry, oceanography, geography and remote sensing, astronomy, biomedicine, and other areas of applications. 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. The practical applications include inverse scattering, chemistry, molecular spectra data processing, quantitative remote sensing inversion, seismic imaging, oceanography, and astronomical imaging. The book serves as a reference book and 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.

Linear Inverse Problems and Tikhonov Regularization

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Publisher : American Mathematical Soc.
ISBN 13 : 0883851415
Total Pages : 338 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis Linear Inverse Problems and Tikhonov Regularization by : Mark S. Gockenbach

Download or read book Linear Inverse Problems and Tikhonov Regularization written by Mark S. Gockenbach and published by American Mathematical Soc.. This book was released on 2016-12-31 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems occur frequently in science and technology, whenever we need to infer causes from effects that we can measure. Mathematically, they are difficult problems because they are unstable: small bits of noise in the measurement can completely throw off the solution. Nevertheless, there are methods for finding good approximate solutions. Linear Inverse Problems and Tikhonov Regularization examines one such method: Tikhonov regularization for linear inverse problems defined on Hilbert spaces. This is a clear example of the power of applying deep mathematical theory to solve practical problems. Beginning with a basic analysis of Tikhonov regularization, this book introduces the singular value expansion for compact operators, and uses it to explain why and how the method works. Tikhonov regularization with seminorms is also analyzed, which requires introducing densely defined unbounded operators and their basic properties. Some of the relevant background is included in appendices, making the book accessible to a wide range of readers.

Inverse Problems and Optimal Design in Electricity and Magnetism

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Publisher : Oxford University Press
ISBN 13 : 9780198593836
Total Pages : 388 pages
Book Rating : 4.5/5 (938 download)

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Book Synopsis Inverse Problems and Optimal Design in Electricity and Magnetism by : Pekka Neittaanmäki

Download or read book Inverse Problems and Optimal Design in Electricity and Magnetism written by Pekka Neittaanmäki and published by Oxford University Press. This book was released on 1996-01-11 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The impact of optimization methods in electromagnetism has been much less than in mechanical engineering and particularly the solution of inverse problems in structural mechanics. This book addresses this omission: it will serve as a guide to the theory as well as the computer implementation of solutions. It is self-contained covering all the mathematical theory necessary.

Inverse Eigenvalue Problems

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Publisher : OUP Oxford
ISBN 13 : 0191524220
Total Pages : 406 pages
Book Rating : 4.1/5 (915 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 OUP Oxford. This book was released on 2005-06-16 with total page 406 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 Scattering and Imaging

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Publisher : CRC Press
ISBN 13 : 9780750301435
Total Pages : 454 pages
Book Rating : 4.3/5 (14 download)

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Book Synopsis Inverse Problems in Scattering and Imaging by : Bertero

Download or read book Inverse Problems in Scattering and Imaging written by Bertero and published by CRC Press. This book was released on 1992-02-27 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse Problems in Scattering and Imaging is a collection of lectures from a NATO Advanced Research Workshop that integrates the expertise of physicists and mathematicians in different areas with a common interest in inverse problems. Covering a range of subjects from new developments on the applied mathematics/mathematical physics side to many areas of application, the book achieves a blend of research, review, and tutorial contributions. It is of interest to researchers in the areas of applied mathematics and mathematical physics as well as those working in areas where inverse problems can be applied.

Applied Inverse Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461478162
Total Pages : 206 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Applied Inverse Problems by : Larisa Beilina

Download or read book Applied Inverse Problems written by Larisa Beilina and published by Springer Science & Business Media. This book was released on 2013-08-15 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume is based on papers presented at the First Annual Workshop on Inverse Problems which was held in June 2011 at the Department of Mathematics, Chalmers University of Technology. The purpose of the workshop was to present new analytical developments and numerical methods for solutions of inverse problems. State-of-the-art and future challenges in solving inverse problems for a broad range of applications was also discussed. The contributions in this volume are reflective of these themes and will be beneficial to researchers in this area.

Computational Science – ICCS 2021

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Publisher : Springer Nature
ISBN 13 : 3030779645
Total Pages : 609 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Computational Science – ICCS 2021 by : Maciej Paszynski

Download or read book Computational Science – ICCS 2021 written by Maciej Paszynski and published by Springer Nature. This book was released on 2021-06-11 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: The six-volume set LNCS 12742, 12743, 12744, 12745, 12746, and 12747 constitutes the proceedings of the 21st International Conference on Computational Science, ICCS 2021, held in Krakow, Poland, in June 2021.* The total of 260 full papers and 57 short papers presented in this book set were carefully reviewed and selected from 635 submissions. 48 full and 14 short papers were accepted to the main track from 156 submissions; 212 full and 43 short papers were accepted to the workshops/ thematic tracks from 479 submissions. The papers were organized in topical sections named: Part I: ICCS Main Track Part II: Advances in High-Performance Computational Earth Sciences: Applications and Frameworks; Applications of Computational Methods in Artificial Intelligence and Machine Learning; Artificial Intelligence and High-Performance Computing for Advanced Simulations; Biomedical and Bioinformatics Challenges for Computer Science Part III: Classifier Learning from Difficult Data; Computational Analysis of Complex Social Systems; Computational Collective Intelligence; Computational Health Part IV: Computational Methods for Emerging Problems in (dis-)Information Analysis; Computational Methods in Smart Agriculture; Computational Optimization, Modelling and Simulation; Computational Science in IoT and Smart Systems Part V: Computer Graphics, Image Processing and Artificial Intelligence; Data-Driven Computational Sciences; Machine Learning and Data Assimilation for Dynamical Systems; MeshFree Methods and Radial Basis Functions in Computational Sciences; Multiscale Modelling and Simulation Part VI: Quantum Computing Workshop; Simulations of Flow and Transport: Modeling, Algorithms and Computation; Smart Systems: Bringing Together Computer Vision, Sensor Networks and Machine Learning; Software Engineering for Computational Science; Solving Problems with Uncertainty; Teaching Computational Science; Uncertainty Quantification for Computational Models *The conference was held virtually. Chapter “Effective Solution of Ill-posed Inverse Problems with Stabilized Forward Solver” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Ordinary and Partial Differential Equations

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Publisher : Springer
ISBN 13 : 354039561X
Total Pages : 748 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Ordinary and Partial Differential Equations by : W. N. Everitt

Download or read book Ordinary and Partial Differential Equations written by W. N. Everitt and published by Springer. This book was released on 2006-11-15 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: