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Inverse Problems in the Theory of Small Oscillations, Vladimir Marchenko, Victor Slavin


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Автор: Vladimir Marchenko, Victor Slavin
Название:  Inverse Problems in the Theory of Small Oscillations
ISBN: 9781470448905
Издательство: Mare Nostrum (Eurospan)
Классификация:

ISBN-10: 1470448904
Обложка/Формат: Hardback
Страницы: 176
Вес: 0.99 кг.
Дата издания: 30.12.2018
Серия: Translations of mathematical monographs
Язык: English
Размер: 254 x 178
Читательская аудитория: Professional and scholarly
Ключевые слова: Calculus & mathematical analysis,Differential calculus & equations
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Поставляется из: Англии
Описание: 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 Schrodinger 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 Schrodinger operators, where only the class of tridiagonal Hermitian matrices are considered.
Дополнительное описание: Calculus and mathematical analysis|Differential calculus and equations


Nonlinear Equations with Small Parameter: Volume I: Oscillations and resonances

Автор: Sergey G. Glebov, Oleg M. Kiselev, Nikolai N. Tark
Название: Nonlinear Equations with Small Parameter: Volume I: Oscillations and resonances
ISBN: 3110335549 ISBN-13(EAN): 9783110335545
Издательство: Walter de Gruyter
Цена: 148700.00 T
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Описание: This two-volume monograph presents new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. These allow one to match the asymptotics of various properties with each other in transition regions and to get unified formulas for the connection of characteristic parameters of approximate solutions. This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena in the natural sciences. These include the outset of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering applications, and quantum systems. Apart from being of independent interest, such approximate solutions serve as a foolproof basis for testing numerical algorithms. This first volume presents asymptotic methods in oscillation and resonance problems described by ordinary differential equations, whereby the second volume will be devoted to applications of asymptotic methods in waves and boundary value problems. Contents Asymptotic expansions and series Asymptotic methods for solving nonlinear equations Nonlinear oscillator in potential well Autoresonances in nonlinear systems Asymptotics for loss of stability Systems of coupled oscillators

IUTAM Symposium on Recent Developments in Non-linear Oscillations of Mechanical Systems

Автор: Nguyen Van Dao; E.J. Kreuzer
Название: IUTAM Symposium on Recent Developments in Non-linear Oscillations of Mechanical Systems
ISBN: 9401058091 ISBN-13(EAN): 9789401058094
Издательство: Springer
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Цена: 139750.00 T
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Описание: Proceedings of the IUTAM Symposium held in Hanoi, Vietnam from 2-5 March 1999

Optimal Control of Mechanical Oscillations

Автор: V. Silberschmidt; Agnessa Kovaleva
Название: Optimal Control of Mechanical Oscillations
ISBN: 3642084761 ISBN-13(EAN): 9783642084768
Издательство: Springer
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Цена: 158380.00 T
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Описание: This book explores two important aspects of the optimal control of oscillatory systems: the initiation of optimal oscillatory regimes and control possibilities for random disturbances. The main content of the book is based upon assertions of the optimal control theory and the disturbance theory.

Shocks, singularities and oscillations in nonlinear optics and fluid mechanics

Название: Shocks, singularities and oscillations in nonlinear optics and fluid mechanics
ISBN: 3319520415 ISBN-13(EAN): 9783319520414
Издательство: Springer
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Цена: 102480.00 T
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Описание: The book collects the most relevant results from the INdAM Workshop "Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics" held in Rome, September 14-18, 2015.

Elements of the Mathematical Theory of Multi-Frequency Oscillations

Автор: Anatolii M. Samoilenko
Название: Elements of the Mathematical Theory of Multi-Frequency Oscillations
ISBN: 0792314387 ISBN-13(EAN): 9780792314387
Издательство: Springer
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Цена: 102480.00 T
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Almost Periodic Oscillations and Waves

Автор: Constantin Corduneanu
Название: Almost Periodic Oscillations and Waves
ISBN: 1441918906 ISBN-13(EAN): 9781441918901
Издательство: Springer
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Цена: 102480.00 T
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Описание: This book presents the latest in almost periodic oscillations and waves. It offers the foundations for the theory as well as the basic facts relating to almost periodicity through six unifying chapters that treat various classes of almost periodic functions.

Nonlinear Oscillations and Waves in Dynamical Systems

Автор: P.S Landa
Название: Nonlinear Oscillations and Waves in Dynamical Systems
ISBN: 0792339312 ISBN-13(EAN): 9780792339311
Издательство: Springer
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Цена: 121110.00 T
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Описание: This volume is a treatment of the theory of nonlinear oscillations and waves. Oscillatory and wave processes in the systems of diversified physical natures, both periodic and chaotic, are considered from a unified point of view.

Oscillations and Waves

Автор: M.I Rabinovich; D.I. Trubetskov
Название: Oscillations and Waves
ISBN: 0792304454 ISBN-13(EAN): 9780792304456
Издательство: Springer
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Цена: 121110.00 T
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Описание: 'Et mai -...- si j'avait su comment en revenir. One service mathematics has rendered the je n'y semis point aUe.' human race. It has put common sense back Jules Verne where it belongs, on the topmost sheJf next to the dusty canister Iabclled 'discarded non- The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com- puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Large-Scale Inverse Problems and Quantification of Uncertainty

Автор: Biegler
Название: Large-Scale Inverse Problems and Quantification of Uncertainty
ISBN: 0470697431 ISBN-13(EAN): 9780470697436
Издательство: Wiley
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Цена: 118220.00 T
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Описание: This book focuses on computational methods for large-scale statistical inverse problems and provides an introduction to statistical Bayesian and frequentist methodologies. Recent research advances for approximation methods are discussed, along with Kalman filtering methods and optimization-based approaches to solving inverse problems.

New Prospects in Direct, Inverse and Control Problems for Evolution Equations

Автор: Angelo Favini; Genni Fragnelli; Rosa Maria Mininni
Название: New Prospects in Direct, Inverse and Control Problems for Evolution Equations
ISBN: 3319114050 ISBN-13(EAN): 9783319114057
Издательство: Springer
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Цена: 88500.00 T
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Описание: This book, based on a selection of talks given at a dedicated meeting in Cortona, Italy, in June 2013, shows the high degree of interaction between a number of fields related to applied sciences.

Computational Methods for Inverse Problems in Imaging

Автор: Marco Donatelli; Stefano Serra-Capizzano
Название: Computational Methods for Inverse Problems in Imaging
ISBN: 3030328813 ISBN-13(EAN): 9783030328818
Издательство: Springer
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Цена: 93160.00 T
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Описание:

This book presents recent mathematical methods in the area of inverse problems in imaging with a particular focus on the computational aspects and applications. The formulation of inverse problems in imaging requires accurate mathematical modeling in order to preserve the significant features of the image. The book describes computational methods to efficiently address these problems based on new optimization algorithms for smooth and nonsmooth convex minimization, on the use of structured (numerical) linear algebra, and on multilevel techniques. It also discusses various current and challenging applications in fields such as astronomy, microscopy, and biomedical imaging. The book is intended for researchers and advanced graduate students interested in inverse problems and imaging.

Multidimensional Inverse and Ill-Posed Problems for Differential Equations

Автор: Yu. E. Anikonov
Название: Multidimensional Inverse and Ill-Posed Problems for Differential Equations
ISBN: 3110346664 ISBN-13(EAN): 9783110346664
Издательство: Walter de Gruyter
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Цена: 123910.00 T
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Описание: The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.


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