Introduction to Perturbation Techniques, Nayfeh

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: Dmitry Treschev; Oleg Zubelevich
Название: Introduction to the Perturbation Theory of Hamiltonian Systems
ISBN: 3642261043 ISBN-13(EAN): 9783642261046
Издательство: Springer
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Цена: 93160.00 T
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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
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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: R.S. Johnson
Название: Singular Perturbation Theory
ISBN: 1441935878 ISBN-13(EAN): 9781441935878
Издательство: Springer
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Цена: 174130.00 T
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Описание: The importance of mathematics in the study of problems arising from the real world, and the increasing success with which it has been used to model situations ranging from the purely deterministic to the stochastic, is well established.

Автор: PIGUET; SIBOLD
Название: Renormalized Supersymmetry
ISBN: 146847328X ISBN-13(EAN): 9781468473285
Издательство: Springer
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Цена: 46570.00 T
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Описание: The present book grew out of lecture notes prepared for a "Cours du troisieme cycle de la Suisse Romande," 1983 in Lausanne. The original notes are considerably extended and brought up to date. In fact the book offers at many instances completely new derivations. Half-way between textbook and research monograph we believe it to be useful for students in elementary particle physics as well as for research workers in the realm of supersymmetry. In writing the book we looked back not only on ten years of super- symmetry but also on ten years of our own life and work. We realize how deeply we are indebted to many friends and colleagues. Some shared our efforts, some helped and encouraged us, some provided the facili- ties to work. Their list comprises at least C. Becchi, S. Bedding, P. Breitenlohner, T. E. Clark, S. Ferrara, R. Gatto, M. Jacob, W. Lang, J. H. Lowenstein, D. Maison, H. Nicolai, J. Prentki, A. Rouet, H. Ruegg, M. Schweda, R. Stora, J. Wess, W. Zimmermann, B. Zumino. During the last ten years we had the privilege to work at CERN (Geneva), Departement de Physique Theorique (University of Geneva), Institut fUr Theoretische Physik (University of Karlsruhe) and at the Max-Planck-Institut fUr Physik und Astrophysik (Munich) for which we are most grateful. Grate- fully acknowledged is also the support we received by "the Swiss National Science Foundation" (O. P. ), the "Deutsche Forschungsgemeinschaft" (Heisenberg-Fellowship; K. S. ).

Автор: Bender, Carl M. (washington University, Usa) Orsza
Название: Advanced mathematical methods for scientists and engineers
ISBN: 0387989315 ISBN-13(EAN): 9780387989310
Издательство: Springer
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Цена: 79190.00 T
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Описание: A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations.

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: Shishkin, Grigory I. , Shishkina, Lidia P.
Название: Difference Methods for Singular Perturbation Problems
ISBN: 0367386828 ISBN-13(EAN): 9780367386825
Издательство: Taylor&Francis
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Цена: 65320.00 T
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Описание:

Difference Methods for Singular Perturbation Problems focuses on the development of robust difference schemes for wide classes of boundary value problems. It justifies the ε-uniform convergence of these schemes and surveys the latest approaches important for further progress in numerical methods.

The first part of the book explores boundary value problems for elliptic and parabolic reaction-diffusion and convection-diffusion equations in n-dimensional domains with smooth and piecewise-smooth boundaries. The authors develop a technique for constructing and justifying ε uniformly convergent difference schemes for boundary value problems with fewer restrictions on the problem data.

Containing information published mainly in the last four years, the second section focuses on problems with boundary layers and additional singularities generated by nonsmooth data, unboundedness of the domain, and the perturbation vector parameter. This part also studies both the solution and its derivatives with errors that are independent of the perturbation parameters.

Co-authored by the creator of the Shishkin mesh, this book presents a systematic, detailed development of approaches to construct ε uniformly convergent finite difference schemes for broad classes of singularly perturbed boundary value problems.

Автор: Wang
Название: Essential Perturbation Methods
ISBN: 3031265440 ISBN-13(EAN): 9783031265440
Издательство: Springer
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Цена: 65210.00 T
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Описание: This book presents the modeling and scaling of physical problems, which result in normalized perturbation equations. This is followed by solving perturbation problems and evaluating the results. The author refines perturbation methods into simple, understandable elements and avoids unnecessary theorems and proofs. In addition, the results are consolidated and interpreted, and the presented examples are succinct to illustrate the essential techniques. This book is ideal and beneficial for practicing scientists and engineers who need to understand and apply perturbation methods to difficult problems with applications in mathematics, engineering, and biology. Discussions on new perspectives, simpler presentations on convergence, and the expansion of integrals are included.

Автор: Bush, Alan W.
Название: Perturbation Methods for Engineers and Scientists
ISBN: 036740284X ISBN-13(EAN): 9780367402846
Издательство: Taylor&Francis
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Цена: 65320.00 T
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Описание: Perturbation Methods for Engineers and Scientists examines the main techniques of perturbation expansions applied to both differential equations and integral expressions. It describes several fluid dynamics applications, including aerofoils, boundary layers in momentum heat, and mass transfer. In addition, it applies the multiple scale technique to the description of surface roughness effects in lubrication. The book's intuitive, rather than formal, approach enables these advanced techniques to be used by scientists and engineers as well as by students.

Автор: J. Kevorkian; J.D. Cole
Название: Perturbation Methods in Applied Mathematics
ISBN: 144192812X ISBN-13(EAN): 9781441928122
Издательство: Springer
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Цена: 121110.00 T
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Описание: The basic ideas, however, are also applicable to integral equations, integrodifferential equations, and even to_difference equations.

Автор: Barry G. Adams
Название: Algebraic Approach to Simple Quantum Systems
ISBN: 3540578013 ISBN-13(EAN): 9783540578017
Издательство: Springer
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Цена: 74490.00 T
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Описание: Aimed at students taking courses in theoretical and computational chemistry, this text introduces the Lie algebras needed for a study of simple quantum systems, and then proceeds to present applications of these algebraic methods to perturbation potentials using symbolic computation.