The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators, Koshmanenko Volodymyr, Dudkin Mykola

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: Tosio Kato
Название: Perturbation Theory for Linear Operators
ISBN: 354058661X ISBN-13(EAN): 9783540586616
Издательство: Springer
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Цена: 46570.00 T
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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: 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: Wechselberger Martin
Название: Geometric Singular Perturbation Theory Beyond the Standard Form
ISBN: 3030363988 ISBN-13(EAN): 9783030363987
Издательство: Springer
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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: Miller J J H Et Al
Название: Fitted Numerical Methods For Singular Perturbation Problems: Error Estimates In The Maximum Norm For Linear Problems In One And Two Dimensions (Revised Edition)
ISBN: 9814390739 ISBN-13(EAN): 9789814390736
Издательство: World Scientific Publishing
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Цена: 79200.00 T
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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: J.K. Kevorkian; J.D. Cole
Название: Multiple Scale and Singular Perturbation Methods
ISBN: 0387942025 ISBN-13(EAN): 9780387942025
Издательство: Springer
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Цена: 158380.00 T
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Описание: Covers multiple scale and averaging methods. This book presents an account of the various perturbation techniques used in the sciences and engineering. It is suitable for a graduate text as well as a reference work on the subject.

Автор: K. W. Chang; F. A. Howes
Название: Nonlinear Singular Perturbation Phenomena
ISBN: 038796066X ISBN-13(EAN): 9780387960661
Издательство: Springer
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Цена: 88500.00 T
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Описание: The presentation involves a study of both scalar and vector boundary value problems for ordinary dif- ferential equations, by means of the consistent use of differential in- equality techniques.

Автор: Robert E., Jr. O`Malley
Название: Singular Perturbation Methods for Ordinary Differential Equations
ISBN: 038797556X ISBN-13(EAN): 9780387975566
Издательство: Springer
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Цена: 130430.00 T
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Описание: Some portions have been used for short lecture series at Universidad Central de Venezuela, West Vir- ginia University, the University of Southern California, the University of California at Davis, East China Normal University, the University of Texas at Arlington, Universita di Padova, and the University of New Hampshire, among other places.

Автор: Volodymyr Koshmanenko
Название: Singular Quadratic Forms in Perturbation Theory
ISBN: 079235625X ISBN-13(EAN): 9780792356257
Издательство: Springer
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Цена: 102480.00 T
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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: Desineni S. Naidu; Ayalasomayajula K. Rao
Название: Singular Perturbation Analysis of Discrete Control Systems
ISBN: 3540159819 ISBN-13(EAN): 9783540159810
Издательство: Springer
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Цена: 23250.00 T
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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: J.K. Kevorkian; J.D. Cole
Название: Multiple Scale and Singular Perturbation Methods
ISBN: 146128452X ISBN-13(EAN): 9781461284529
Издательство: Springer
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Цена: 158380.00 T
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Описание: This book is a revised and updated version, including a substantial portion of new material, of our text Perturbation Methods in Applied Mathematics (Springer- Verlag, 1981).