Inverse Problems in the Theory of Small Oscillations

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470448904
Total Pages : 170 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Inverse Problems in the Theory of Small Oscillations by : Vladimir Marchenko

Download or read book Inverse Problems in the Theory of Small Oscillations written by Vladimir Marchenko and published by American Mathematical Soc.. This book was released on 2018-12-12 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems of spectral analysis deal with the reconstruction of operators of the specified form in Hilbert or Banach spaces from certain of their spectral characteristics. An interest in spectral problems was initially inspired by quantum mechanics. The main inverse spectral problems have been solved already for Schrödinger operators and for their finite-difference analogues, Jacobi matrices. This book treats inverse problems in the theory of small oscillations of systems with finitely many degrees of freedom, which requires finding the potential energy of a system from the observations of its oscillations. Since oscillations are small, the potential energy is given by a positive definite quadratic form whose matrix is called the matrix of potential energy. Hence, the problem is to find a matrix belonging to the class of all positive definite matrices. This is the main difference between inverse problems studied in this book and the inverse problems for discrete analogues of the Schrödinger operators, where only the class of tridiagonal Hermitian matrices are considered.

Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday

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Publisher : American Mathematical Soc.
ISBN 13 : 0821875744
Total Pages : 409 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday by : Helge Holden

Download or read book Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday written by Helge Holden and published by American Mathematical Soc.. This book was released on 2013-07-08 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains twenty contributions in the area of mathematical physics where Fritz Gesztesy made profound contributions. There are three survey papers in spectral theory, differential equations, and mathematical physics, which highlight, in particu

Homogenization Theory for Multiscale Problems

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Publisher : Springer Nature
ISBN 13 : 3031218337
Total Pages : 469 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Homogenization Theory for Multiscale Problems by : Xavier Blanc

Download or read book Homogenization Theory for Multiscale Problems written by Xavier Blanc and published by Springer Nature. This book was released on 2023-04-29 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a pedagogic and comprehensive introduction to homogenization theory with a special focus on problems set for non-periodic media. The presentation encompasses both deterministic and probabilistic settings. It also mixes the most abstract aspects with some more practical aspects regarding the numerical approaches necessary to simulate such multiscale problems. Based on lecture courses of the authors, the book is suitable for graduate students of mathematics and engineering.

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.

Methods of Inverse Problems in Physics

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Publisher : CRC Press
ISBN 13 : 9780849362583
Total Pages : 506 pages
Book Rating : 4.3/5 (625 download)

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Book Synopsis Methods of Inverse Problems in Physics by : Dilip N. Ghosh Roy

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.

Computational Methods for Inverse Problems

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Publisher : SIAM
ISBN 13 : 0898717574
Total Pages : 195 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Computational Methods for Inverse Problems by : Curtis R. Vogel

Download or read book Computational Methods for Inverse Problems written by Curtis R. Vogel and published by SIAM. This book was released on 2002-01-01 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.

Direct and Inverse Finite-Dimensional Spectral Problems on Graphs

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Publisher : Springer Nature
ISBN 13 : 3030604845
Total Pages : 349 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Direct and Inverse Finite-Dimensional Spectral Problems on Graphs by : Manfred Möller

Download or read book Direct and Inverse Finite-Dimensional Spectral Problems on Graphs written by Manfred Möller and published by Springer Nature. This book was released on 2020-10-30 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Considering that the motion of strings with finitely many masses on them is described by difference equations, this book presents the spectral theory of such problems on finite graphs of strings. The direct problem of finding the eigenvalues as well as the inverse problem of finding strings with a prescribed spectrum are considered. This monograph gives a comprehensive and self-contained account on the subject, thereby also generalizing known results. The interplay between the representation of rational functions and their zeros and poles is at the center of the methods used. The book also unravels connections between finite dimensional and infinite dimensional spectral problems on graphs, and between self-adjoint and non-self-adjoint finite-dimensional problems. This book is addressed to researchers in spectral theory of differential and difference equations as well as physicists and engineers who may apply the presented results and methods to their research.

Inverse Problems of Mathematical Physics

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110926016
Total Pages : 248 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Inverse Problems of Mathematical Physics by : V. G. Romanov

Download or read book Inverse Problems of Mathematical Physics written by V. G. Romanov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-11-05 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Inverse Problems of Mathematical Physics".

Theory of Moduli

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Publisher : Springer
ISBN 13 : 3540459200
Total Pages : 243 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Theory of Moduli by : Edoardo Sernesi

Download or read book Theory of Moduli written by Edoardo Sernesi and published by Springer. This book was released on 2006-11-14 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions making up this volume are expanded versions of the courses given at the C.I.M.E. Summer School on the Theory of Moduli.

Inverse Problems of Mathematical Physics

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Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110915529
Total Pages : 288 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Inverse Problems of Mathematical Physics by : Mikhail M. Lavrent'ev

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.

Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems

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Publisher : American Mathematical Soc.
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems by : Feliks Ruvimovich Gantmakher

Download or read book Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems written by Feliks Ruvimovich Gantmakher and published by American Mathematical Soc.. This book was released on 1961 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: The exposition is self-contained. The first chapter presents all necessary results (with proofs) on the theory of matrices which are not included in a standard linear algebra course. The only prerequisite in addition to standard linear algebra is the theory of linear integral equations used in Chapter 5. The book is suitable for graduate students, research mathematicians and engineers interested in ordinary differential equations, integral equations, and theirapplications.

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

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

The Inverse Problem of the Calculus of Variations

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Publisher : Springer
ISBN 13 : 9462391092
Total Pages : 296 pages
Book Rating : 4.4/5 (623 download)

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Book Synopsis The Inverse Problem of the Calculus of Variations by : Dmitry V. Zenkov

Download or read book The Inverse Problem of the Calculus of Variations written by Dmitry V. Zenkov and published by Springer. This book was released on 2015-10-15 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the present book is to give a systematic treatment of the inverse problem of the calculus of variations, i.e. how to recognize whether a system of differential equations can be treated as a system for extremals of a variational functional (the Euler-Lagrange equations), using contemporary geometric methods. Selected applications in geometry, physics, optimal control, and general relativity are also considered. The book includes the following chapters: - Helmholtz conditions and the method of controlled Lagrangians (Bloch, Krupka, Zenkov) - The Sonin-Douglas's problem (Krupka) - Inverse variational problem and symmetry in action: The Ostrogradskyj relativistic third order dynamics (Matsyuk.) - Source forms and their variational completion (Voicu) - First-order variational sequences and the inverse problem of the calculus of variations (Urban, Volna) - The inverse problem of the calculus of variations on Grassmann fibrations (Urban).

Coherent States

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Publisher : World Scientific
ISBN 13 : 9789971966522
Total Pages : 934 pages
Book Rating : 4.9/5 (665 download)

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Book Synopsis Coherent States by : John R. Klauder

Download or read book Coherent States written by John R. Klauder and published by World Scientific. This book was released on 1985 with total page 934 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a review on coherent states and some of their applications. The usefulness of the concept of coherent states is illustrated by considering specific examples from the fields of physics and mathematical physics. Particular emphasis is given to a general historical introduction, general continuous representations, generalized coherent states, classical and quantum correspondence, path integrals and canonical formalism. Applications are considered in quantum mechanics, optics, quantum chemistry, atomic physics, statistical physics, nuclear physics, particle physics and cosmology. A selection of original papers is reprinted.

Literature 1988, Part 1

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Publisher : Springer Science & Business Media
ISBN 13 : 3662123649
Total Pages : 1266 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Literature 1988, Part 1 by : U. Esser

Download or read book Literature 1988, Part 1 written by U. Esser and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 1266 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "Astronomy and Astrophysics Abstracts has appeared in semi-annual volumes since 1969 and it has already become one of the fundamental publications in the fields of astronomy, astrophysics and neighbouring sciences. It is the most important English-language abstracting journal in the mentioned branches. ...The abstracts are classified under more than a hundred subject categories, thus permitting a quick survey of the whole extended material. The AAA is a valuable and important publication for all students and scientists working in the fields of astronomy and related sciences. As such it represents a necessary ingredient of any astronomical library all over the world." Space Science Reviews#1 "Dividing the whole field plus related subjects into 108 categories, each work is numbered and most are accompanied by brief abstracts. Fairly comprehensive cross-referencing links relevant papers to more than one category, and exhaustive author and subject indices are to be found at the back, making the catalogues easy to use. The series appears to be so complete in its coverage and always less than a year out of date that I shall certainly have to make a little more space on those shelves for future volumes." The Observatory Magazine#2

Geophysical Abstracts ...

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Publisher :
ISBN 13 :
Total Pages : 1014 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Geophysical Abstracts ... by :

Download or read book Geophysical Abstracts ... written by and published by . This book was released on 1969 with total page 1014 pages. Available in PDF, EPUB and Kindle. Book excerpt: