Matched Asymptotic Expansions And Singular Perturbations

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Matched Asymptotic Expansions And Singular Perturbations

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Author :
language : en
Publisher: Elsevier
Release Date : 2011-08-26

Matched Asymptotic Expansions And Singular Perturbations written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-26 with Mathematics categories.

Matched Asymptotic Expansions and Singular Perturbations

Singular Perturbation Theory

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Author : Lindsay A. Skinner
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-05-11

Singular Perturbation Theory written by Lindsay A. Skinner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-11 with Mathematics categories.

This book is a rigorous presentation of the method of matched asymptotic expansions, the primary tool for attacking singular perturbation problems. A knowledge of conventional asymptotic analysis is assumed. The first chapter introduces the theory and is followed by four chapters of applications to ordinary differential equation problems of increasing complexity. Exercises are included as well as several Maple programs for computing the terms of the various asymptotic expansions that arise in solving the problems.

Matched Asymptotic Expansions

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Author : P.A. Lagerstrom
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Matched Asymptotic Expansions written by P.A. Lagerstrom and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

Content and Aims of this Book Earlier drafts of the manuscript of this book (James A. Boa was then coau thor) contained discussions of many methods and examples of singular perturba tion problems. The ambitious plans of covering a large number of topics were later abandoned in favor of the present goal: a thorough discussion of selected ideas and techniques used in the method of matched asymptotic expansions. Thus many problems and methods are not covered here: the method of av eraging and the related method of multiple scales are mentioned mainly to give reasons why they are not discussed further. Examples which required too sophis ticated and involved calculations, or advanced knowledge of a special field, are not treated; for instance, to the author's regret some very interesting applications to fluid mechanics had to be omitted for this reason. Artificial mathematical examples introduced to show some exotic or unexpected behavior are omitted, except when they are analytically simple and are needed to illustrate mathematical phenomena important for realistic problems. Problems of numerical analysis are not discussed.

Perturbation Methods In Fluid Mechanics

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Author : Milton Van Dyke
language : en
Publisher: Parabolic Press, Incorporated
Release Date : 1975

Perturbation Methods In Fluid Mechanics written by Milton Van Dyke and has been published by Parabolic Press, Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Science categories.

Perturbation Methods

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Author : E. J. Hinch
language : en
Publisher: Cambridge University Press
Release Date : 1991-10-25

Perturbation Methods written by E. J. Hinch and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-10-25 with Mathematics categories.

A textbook presenting the theory and underlying techniques of perturbation methods in a manner suitable for senior undergraduates from a broad range of disciplines.

Matching Of Asymptotic Expansions Of Solutions Of Boundary Value Problems

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Author : A. M. Ilʹin A. M. Il'in
language : en
Publisher: American Mathematical Soc.
Release Date : 1992

Matching Of Asymptotic Expansions Of Solutions Of Boundary Value Problems written by A. M. Ilʹin A. M. Il'in and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Asymptotic expansions categories.

Asymptotic Analysis Of Singular Perturbations

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Author : W. Eckhaus
language : en
Publisher: Elsevier
Release Date : 2011-08-30

Asymptotic Analysis Of Singular Perturbations written by W. Eckhaus and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-30 with Mathematics categories.

Asymptotic Analysis of Singular Perturbations

Singularly Perturbed Differential Equations

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Author : Herbert Goering
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 1984-01-14

Singularly Perturbed Differential Equations written by Herbert Goering and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-01-14 with Mathematics categories.

No detailed description available for "Singularly Perturbed Differential Equations".

Perturbations

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Author : James A. Murdock
language : en
Publisher: SIAM
Release Date : 1999-01-01

Perturbations written by James A. Murdock and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Mathematics categories.

Perturbations: Theory and Methods gives a thorough introduction to both regular and singular perturbation methods for algebraic and differential equations. Unlike most introductory books on the subject, this one distinguishes between formal and rigorous asymptotic validity, which are commonly confused in books that treat perturbation theory as a bag of heuristic tricks with no foundation. The meaning of "uniformity" is carefully explained in a variety of contexts. All standard methods, such as rescaling, multiple scales, averaging, matching, and the WKB method are covered, and the asymptotic validity (in the rigorous sense) of each method is carefully proved. First published in 1991, this book is still useful today because it is an introduction. It combines perturbation results with those known through other methods. Sometimes a geometrical result (such as the existence of a periodic solution) is rigorously deduced from a perturbation result, and at other times a knowledge of the geometry of the solutions is used to aid in the selection of an effective perturbation method. Dr. Murdock's approach differs from other introductory texts because he attempts to present perturbation theory as a natural part of a larger whole, the mathematical theory of differential equations. He explores the meaning of the results and their connections to other ways of studying the same problems.

Asymptotic Analysis

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Author : F. Verhulst
language : en
Publisher: Springer
Release Date : 2006-11-15

Asymptotic Analysis written by F. Verhulst and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.