Beyond Perturbation, 

Автор: Holmes Mark H
Название: Introduction to Perturbation Methods
ISBN: 146145476X ISBN-13(EAN): 9781461454762
Издательство: Springer
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Цена: 39130.00 T
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Описание: Many of the excellent exercises are derived from problems of up-to-date research and are drawn from a wide range of application areas.One hundred new pages added including new material on transcedentally small terms, Kummer`s function, weakly coupled oscillators and wave interactions.

Автор: Wechselberger Martin
Название: Geometric Singular Perturbation Theory Beyond the Standard Form
ISBN: 3030363988 ISBN-13(EAN): 9783030363987
Издательство: Springer
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Цена: 65210.00 T
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Описание: Mathematical models of such multiple-scale systems are considered singular perturbation problems, and this volume focuses on the geometric approach known as Geometric Singular Perturbation Theory (GSPT).It is the first of its kind that introduces the GSPT in a coordinate-independent manner.

Автор: Wang
Название: Essential Perturbation Methods
ISBN: 3031265459 ISBN-13(EAN): 9783031265457
Издательство: Springer
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Цена: 65210.00 T
Наличие на складе: Нет в наличии.

Автор: Paulsen, William
Название: Asymptotic Analysis and Perturbation Theory
ISBN: 1466515112 ISBN-13(EAN): 9781466515116
Издательство: Taylor&Francis
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Цена: 193950.00 T
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Автор: Holmes, Mark H. (rensselaer Polytechnic Institute, Troy, Ny, Usa)
Название: Introduction to perturbation methods
ISBN: 1489996133 ISBN-13(EAN): 9781489996138
Издательство: Springer
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Цена: 55850.00 T
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Описание: In its expanded new edition, this book covers boundary layers, multiple scales, homogenisation, slender body theory, symbolic computing, discrete equations and more. Includes exercises derived from current research, drawn from a range of application areas.

Автор: Oktay Veliev
Название: Multidimensional Periodic Schr?dinger Operator
ISBN: 3319386719 ISBN-13(EAN): 9783319386713
Издательство: Springer
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Цена: 104480.00 T
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Описание: This concerns perturbation theory and constructive determination of the spectral invariants and finding the periodic potential from the given Bloch eigenvalues. Using the perturbation theory constructed in this book, the spectral invariants of the multidimensional operator from the given Bloch eigenvalues are determined.

Автор: Koshmanenko
Название: The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators
ISBN: 3319295330 ISBN-13(EAN): 9783319295336
Издательство: Springer
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Цена: 102480.00 T
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Описание: This monograph presents the newly developed method of rigged Hilbert spaces as a modern approach in singular perturbation theory. A key notion of this approach is the Lax-Berezansky triple of Hilbert spaces embedded one into another, which specifies the well-known Gelfand topological triple. All kinds of singular interactions described by potentials supported on small sets (like the Dirac ?-potentials, fractals, singular measures, high degree super-singular expressions) admit a rigorous treatment only in terms of the equipped spaces and their scales. The main idea of the method is to use singular perturbations to change inner products in the starting rigged space, and the construction of the perturbed operator by the Berezansky canonical isomorphism (which connects the positive and negative spaces from a new rigged triplet). The approach combines three powerful tools of functional analysis based on the Birman-Krein-Vishik theory of self-adjoint extensions of symmetric operators, the theory of singular quadratic forms, and the theory of rigged Hilbert spaces. The book will appeal to researchers in mathematics and mathematical physics studying the scales of densely embedded Hilbert spaces, the singular perturbations phenomenon, and singular interaction problems.

Автор: Veliev Oktay
Название: Multidimensional Periodic Schrцdinger Operator: Perturbation Theory and Applications
ISBN: 3030245772 ISBN-13(EAN): 9783030245771
Издательство: Springer
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Цена: 139750.00 T
Наличие на складе: Невозможна поставка.
Описание: This book describes the direct and inverse problems of the multidimensional Schr?dinger operator with a periodic potential, a topic that is especially important in perturbation theory, constructive determination of spectral invariants and finding the periodic potential from the given Bloch eigenvalues. It provides a detailed derivation of the asymptotic formulas for Bloch eigenvalues and Bloch functions in arbitrary dimensions while constructing and estimating the measure of the iso-energetic surfaces in the high-energy regime. Moreover, it presents a unique method proving the validity of the Bethe–Sommerfeld conjecture for arbitrary dimensions and arbitrary lattices. Using the perturbation theory constructed, it determines the spectral invariants of the multidimensional operator from the given Bloch eigenvalues. Some of these invariants are explicitly expressed by the Fourier coefficients of the potential, making it possible to determine the potential constructively using Bloch eigenvalues as input data. Lastly, the book presents an algorithm for the unique determination of the potential. This updated second edition includes an additional chapter that specifically focuses on lower-dimensional cases, providing the basis for the higher-dimensional considerations of the chapters that follow.

Автор: Luongo
Название: Perturbation Methods and Nonlinear Phenomena
ISBN: 3031493966 ISBN-13(EAN): 9783031493966
Издательство: Springer
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Цена: 37260.00 T
Наличие на складе: Нет в наличии.
Описание: This concise text introduces the reader to the use of perturbation methods, able to investigate nonlinear phenomena in continuous (not only discrete) mechanical systems. Distinct from the classic books on perturbation methods, the algorithms are directly illustrated for continuous systems, referring to a very simple case-study as well as to a metamodel, for which Statics, Buckling, Dynamics and Bifurcation behavior are quickly analyzed. Moreover, fundamental mechanical aspects are discussed in dealing with applications. Concepts herein are reinforced with worked examples at the end the book, relevant to several continuous systems.

Автор: Mihail M. Konstantinov
Название: Perturbation Methods in Matrix Analysis and Control
ISBN: 153617470X ISBN-13(EAN): 9781536174700
Издательство: Nova Science
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Цена: 182680.00 T
Наличие на складе: Невозможна поставка.
Описание: The book presents a unified approach to the perturbation analysis in Matrix Analysis and Control, based on the method of splitting operators and Lyapunov majorant functions. Combined with the Schauder or Banach fixed point principles, this approach allows to obtain rigorous non-local perturbation bounds for a set of important objects in Linear Algebra and Control Theory. Among them are the Schur system of a matrix, the QR decomposition of a matrix, the orthogonal canonical forms of time-invariant linear systems, the state and output feedback gains in pole assignment design, the generalized Schur system of a pair of matrices, the Hamiltonian-Schur and block Hamiltonian-Schur forms of Hamiltonian matrices, and others. In this way, the approach proposed can be used as a unified tool in deriving asymptotic and nonlocal perturbation bounds in matrix analysis and control theory. An important technique of the method considered is the construction of an operator equation, which is equivalent to the perturbed problem. It is based on the splitting of a certain linear matrix operator and its argument into strictly lower, diagonal and strictly upper parts, respectively. This allows to unify the perturbation analysis of matrix problems, involving unitary matrices, in which the resulting matrix is upper triangular. Some other issues such as perturbation analysis of problems with non-unique solution and construction of improved asymptotic perturbation bounds are also considered. The book is intended as a reference in the area of matrix computations and control theory. It will be of interest to researchers in the area of matrix analysis, linear control theory and applied mathematics. The book may also be useful for graduate students in the area of applied mathematics.

Автор: Veliev Oktay
Название: Multidimensional Periodic Schrцdinger Operator: Perturbation Theory and Applications
ISBN: 3030245802 ISBN-13(EAN): 9783030245801
Издательство: Springer
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Цена: 139750.00 T
Наличие на складе: Нет в наличии.
Описание: This book describes the direct and inverse problems of the multidimensional Schroedinger operator with a periodic potential, a topic that is especially important in perturbation theory, constructive determination of spectral invariants and finding the periodic potential from the given Bloch eigenvalues.

Автор: Michael Borinsky
Название: Graphs in Perturbation Theory
ISBN: 3030035409 ISBN-13(EAN): 9783030035402
Издательство: Springer
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Цена: 111790.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is the first systematic study of graphical enumeration and the asymptotic algebraic structures in perturbative quantum field theory. Starting with an exposition of the Hopf algebra structure of generic graphs, it reviews and summarizes the existing literature. It then applies this Hopf algebraic structure to the combinatorics of graphical enumeration for the first time, and introduces a novel method of asymptotic analysis to answer asymptotic questions. This major breakthrough has combinatorial applications far beyond the analysis of graphical enumeration. The book also provides detailed examples for the asymptotics of renormalizable quantum field theories, which underlie the Standard Model of particle physics. A deeper analysis of such renormalizable field theories reveals their algebraic lattice structure. The pedagogical presentation allows readers to apply these new methods to other problems, making this thesis a future classic for the study of asymptotic problems in quantum fields, network theory and far beyond.