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Wednesday, October 7, 2020 | History

6 edition of Theory and Applications of Singular Perturbations found in the catalog.

Theory and Applications of Singular Perturbations

W. Eckhaus

Theory and Applications of Singular Perturbations

Proceedings (Lecture Notes in Mathematics)

by W. Eckhaus

  • 198 Want to read
  • 3 Currently reading

Published by Springer-Verlag .
Written in English


The Physical Object
Number of Pages363
ID Numbers
Open LibraryOL7443072M
ISBN 100387115846
ISBN 109780387115849

In quantum mechanics, perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated quantum system in terms of a simpler one. The idea is to start with a simple system for which a mathematical solution is known, and add an additional "perturbing" Hamiltonian representing a weak disturbance to the system.   Abstract: The topic of this book is the study of singular perturbations of ordinary differential equations, i.e., perturbations that represent solutions as asymptotic series rather than as analytic functions in a perturbation parameter.

This book presents some recent mathematical developments about neutron transport equations. compactness properties of perturbed of c 0-semigroups in Banach spaces with applications to transport theory, Miyadera perturbations of c 0-semigroups in Banach spaces with applications to singular transport equations, a thorough analysis of the. singular if Aand corresponding perturbed selfadjoint operator A 1 have di erent domains. Starting from the M.G. Krein0s resolvent formula for the pair A;A 1 (or from the scattering matrix for A;A 1{pair whenever Ahas absolutely continuous spectrum) we discuss the problem of restoration of .

Find many great new & used options and get the best deals for Mathematical and Analytical Techniques with Applications to Engineering: Singular Perturbation Theory: Mathematical and Analytical Techniques with Applications to Engineering by R. S. Johnson (, Hardcover) at the best online prices at eBay! Free shipping for many products! Methods and Applications of Singular Perturbations: Boundary Layers and Multiple Timescale Dynamics (Texts in Applied "Dutch applied mathematicians have contributed extensively to the development of singular perturbations theory and practice. the new book by Verhulst also emphasizes averaging and a fine collection of diffusion and.


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Theory and Applications of Singular Perturbations by W. Eckhaus Download PDF EPUB FB2

Perturbation theory, one of the most intriguing and essential topics in mathematics, and its applications to the natural and engineering sciences is the main focus of this workbook. In a systematic introductory manner, this unique book deliniates boundary layer theory for ordinary and partialBrand: Springer-Verlag New York.

Fluid Mechanics and Singular Perturbations: A Collection of Papers by Saul Kaplun focuses on the works and contributions of Saul Kaplun to the studies of fluid mechanics and singular perturbations.

The book first discusses the role of coordinate system in boundary-layer theory. Theory and Applications of Singular Perturbations Proceedings of a Conference Held in Oberwolfach, August 16–22, Applications of nonstandard analysis to boundary value problems in singular perturbation theory.

Robert Lutz, Tewfik Sari. Applications of singular perturbation techniques to combustion theory. van Harten. Theory and Applications of Singular Perturbations Proceedings of a Conference Held in Oberwolfach, AugustEditors: Eckhaus, W., Jager, E.M.

de (Eds.) Free Preview. From the reviews: "This textbook presents a comprehensive and extremely well-organized treatment of its subject. Verhulst’s monograph features an impressive clarity of exposition, giving the main and typical examples in a variety of related topics in singular perturbations, averaging, and multiple time scales, as manifested in various frameworks of ordinary and partial differential Cited by: Finally, this reviewer, with background in singular perturbations and time scales in automatic control theory and applications [], enjoyed reading this book that has a refreshing flavor to asymptotic expansions in the theory of singular perturbations.

1) D.S. Naidu, Applications of Singular Perturbation Technique to Problems in Control Cited by: It describes the theory of singular layer problems.

The frequent occurrence of singular perturbations in applications can be explained by the observation that whenever some basic mathematic model of some phenomena is improved by incorporating some of the effects that were first neglected; the improved model is most likely to be a problem of.

Purchase The Theory of Singular Perturbations, Volume 42 - 1st Edition. Print Book & E-Book. ISBNPages: Description: The topic of this book is the study of singular perturbations of ordinary differential equations, i.e., perturbations that represent solutions as asymptotic series rather than as analytic functions in a perturbation parameter.

The main approach used by the authors is the so-called WKB (Wentzel-Kramers-Brillouin) method, originally. Singular perturbation theory is a rich and ongoing area of exploration for mathematicians, physicists, and other researchers. The methods used to tackle problems in this field are many.

The more basic of these include the method of matched asymptotic expansions and WKB approximation for spatial problems, and in time, the Poincaré–Lindstedt. Theory and applications of singular perturbations: proceedings of a conference held in Oberwolfach, August Regular and singular perturbation problems It is useful to make an imprecise distinction between regular perturbation problems and singular perturbation problems.

A regular perturbation problem is one for which the perturbed problem for small, nonzero values of "is qualitatively the same as the unperturbed problem for "= 0.

Coercive singular perturbations: Reduction and convergence.- A singular perturbation approach to nonlinear elliptic boundary value problems.- Singular-singularly perturbed linear equations in Banach spaces.- Wave reflection and quasiresonance.- Applications of nonstandard analysis to boundary value problems in singular perturbation theory Analytic Perturbation Theory and Its Applications includes.

comprehensive treatment of analytic perturbations of matrices, linear operators, and polynomial systems, particularly the singular perturbation of inverses, generalized inverses, and polynomial systems, topics not covered in other books. Cite this paper as: van Harten A.

() Applications of singular perturbation techniques to combustion theory. In: Eckhaus W., de Jager E.M. (eds) Theory and Applications of Cited by: 2. Singular perturbations, one of the central topics in asymptotic analysis, also play a special role in describing physical phenomena such as the propagation of waves in media in the presence of small energy dissipations or dispersions, the appearance of boundary or interior layers in fluid and gas dynamics, as well as in elasticity theory, semi-classical asymptotic approximations in quantum Book Edition: 1.

This paper presents an overview of singular perturbations and time scales (SPaTS) in control theory and applications during the period (the last such overviews were provided by [, ]). This book presents an introduction to singular-perturbation problems, problems which depend on a parameter in such a way that solutions behave non-uniformly as the parameter tends toward some limiting value of interest.

The author considers and solves a variety of problems, mostly for ordinary differential equations. He constructs (approximate) solutions for oscillation problems, using the. The topic of this book is the study of singular perturbations of ordinary differential equations, i.e., perturbations that represent solutions as asymptotic series rather than as analytic functions in a perturbation parameter.

This paper discusses typical applications of singular perturbation techniques to control problems in the last fifteen years. The first three sections are devoted to the standard model and its time-scale, stability and controllability properties.

The next two sections deal with linear-quadratic optimal control and one with cheap (near-singular) by:. Singular Perturbations differs from other literature on the subject due to its methods and wide range of applications. It is a valuable reference for specialists in the areas of applied mathematics, engineering, physics, biology, as well as advanced undergraduates for the earlier parts of the book, and graduate students for the later : Springer International Publishing.

Analytic Perturbation Theory and Its Applications includes a comprehensive treatment of analytic perturbations of matrices, linear operators, and polynomial systems, particularly the singular perturbation of inverses and generalized inverses.Request PDF | On Jan 1,Ferdinand Verhulst and others published Methods and applications of singular perturbations.

Boundary layers and multiple timescale dynamics | Find, read and cite all Author: Ferdinand Verhulst.