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Titlebook: Historical Developments in Singular Perturbations; Robert E. O‘Malley Textbook 2014 Springer International Publishing Switzerland 2014 Asy

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书目名称Historical Developments in Singular Perturbations
编辑Robert E. O‘Malley
视频video
概述Overview of 100 year history and development of singular perturbations.Written by top international researchers.Gives key research developments in singular perturbations.Contains many examples and app
图书封面Titlebook: Historical Developments in Singular Perturbations;  Robert E. O‘Malley Textbook 2014 Springer International Publishing Switzerland 2014 Asy
描述.This engaging text describes the development of singular perturbations, including its history, accumulating literature, and its current status. While the approach of the text is sophisticated, the literature is accessible to a broad audience. A particularly valuable bonus are the historical remarks. These remarks are found throughout the manuscript. They demonstrate the growth of mathematical thinking on this topic by engineers and mathematicians..The book focuses on detailing how the various methods are to be applied. These are illustrated by a  number and variety of examples. Readers are expected to have a working knowledge of elementary ordinary differential equations, including some familiarity with power series techniques, and of some advanced calculus..Dr. O‘Malley  has written a number of books on singular perturbations.  This book has developed from many of his works in the field of perturbation theory..
出版日期Textbook 2014
关键词Asymptotic Methods; Differential Equations; History of 20th Century Differential Equations; Multi-scale
版次1
doihttps://doi.org/10.1007/978-3-319-11924-3
isbn_softcover978-3-319-36382-0
isbn_ebook978-3-319-11924-3
copyrightSpringer International Publishing Switzerland 2014
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A Simple Multi-scale Procedure for Both Oscillatory and Boundary Layer Problems,In this final chapter, we shall develop a simple multiscale method by applying it to a varied sequence of examples.
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Wendepunkts and Canards (Turning Points and Delayed Bifurcations), collections of illustrative examples (with sketches of the limiting solutions) is contained in the first chapter of a Dutch thesis, Hemker [202], which aimed to provide methods to solve such two-point singularly perturbed problems numerically.
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