A Short Introduction to Perturbation Theory for Linear Operators, Tosio Kato
Автор: Holmes Mark H Название: Introduction to Perturbation Methods ISBN: 146145476X ISBN-13(EAN): 9781461454762 Издательство: Springer Рейтинг: Цена: 5869.00 р. 8384.00-30% Наличие на складе: Есть (1 шт.) 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.
Описание: The book provides a general, broad approach to aspects of perturbation theory. The aim has been to cover all topics of interest, from construction, analysis, and summation of perturbation series to applications. Emphasis is placed on simple methods, as well as clear, intuitive ideas stemming from the physics of systems of interest.
Автор: Volodymyr Koshmanenko Название: Singular Quadratic Forms in Perturbation Theory ISBN: 9401059527 ISBN-13(EAN): 9789401059527 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The notion of singular quadratic form appears in mathematical physics as a tool for the investigation of formal expressions corresponding to perturbations devoid of operator sense.
Описание: This work looks at perturbation theory for the Schrodinger operator with a periodic potential. It covers the interaction of a free wave with a semi-bounded crystal amd perturbation theory for a polyharmonic operator in the case of 21>n.
Автор: Tosio Kato Название: Perturbation Theory for Linear Operators ISBN: 354058661X ISBN-13(EAN): 9783540586616 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: From the reviews: "[...] An excellent textbook in the theory of linear operators in Banach and Hilbert spaces. It is a thoroughly worthwhile reference work both for graduate students in functional analysis as well as for researchers in perturbation, spectral, and scattering theory.
Автор: Dmitry Treschev; Oleg Zubelevich Название: Introduction to the Perturbation Theory of Hamiltonian Systems ISBN: 3642261043 ISBN-13(EAN): 9783642261046 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents the basic methods of regular perturbation theory of Hamiltonian systems in an accessible fashion. It discusses all main aspects of the basic modern theory of perturbed Hamiltonian systems, and most results include complete proofs.
Автор: Holmes, Mark H. (rensselaer Polytechnic Institute, Troy, Ny, Usa) Название: Introduction to perturbation methods ISBN: 1489996133 ISBN-13(EAN): 9781489996138 Издательство: Springer Рейтинг: Цена: 8378.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: V.N. Bogaevski; A. Povzner Название: Algebraic Methods in Nonlinear Perturbation Theory ISBN: 1461287707 ISBN-13(EAN): 9781461287704 Издательство: Springer Рейтинг: Цена: 15672.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Of interest to everybody working on perturbation theory in differential equations, this book requires only a standard mathematical background in engineering and does not require reference to the special literature. systems of ordinary differential equations with small parameters; reconstruction and equations in partial derivatives.
Описание: Fitted mesh methods focus on the appropriate distribution of the mesh points for singularly perturbed problems. This book offers an introduction to the basic theory associated with fitted numerical methods for singularly perturbed differential equations. It can be used as an introductory text to the theory underpinning fitted mesh methods.
Автор: Volodymyr Koshmanenko Название: Singular Quadratic Forms in Perturbation Theory ISBN: 079235625X ISBN-13(EAN): 9780792356257 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Deals with the presentation of the method of singular quadratic forms in the perturbation theory of self-adjoint operators. This book interprets singular quadratic form in the role of an abstract boundary condition for self-adjoint extension. It also investigates various aspects of the singularity principle.
Автор: R. A. Breuer Название: Gravitational Perturbation Theory and Synchrotron Radiation ISBN: 3540075305 ISBN-13(EAN): 9783540075301 Издательство: Springer Рейтинг: Цена: 11753.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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