Overview
- Presents a comprehensive theory of infinite composite asymptotic expansions (CAsEs), an alternative to the method of matched asymptotic expansions
- Generalizes the classical theory of Gevrey asymptotic expansions to such CAsEs, thus establishing a new powerful tool for the study of turning points of singularly perturbed ODEs
- Using CAsEs, especially their versions of Gevrey type, to obtain new results for three classical problems in the theory of singularly perturbed ODEs
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2066)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (7 chapters)
Keywords
About this book
Reviews
From the reviews:
“This memoir develops the theory of Composite Asymptotic Expansions … . The book is very technical, but written in a clear and precise style. The notions are well motivated, and many examples are given. … this book will be of great interest to people studying asymptotics for singularly perturbed differential equations.” (Jorge Mozo Fernández, Mathematical Reviews, December, 2013)
“This book focuses on the theory of composite asymptotic expansions for functions of two variables when functions of one variable and functions of the quotient of these two variables are used at the same time. … The book addresses graduate students and researchers in asymptotic analysis and applications.” (Vladimir Sobolev, zbMATH, Vol. 1269, 2013)Authors and Affiliations
Bibliographic Information
Book Title: Composite Asymptotic Expansions
Authors: Augustin Fruchard, Reinhard Schäfke
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-642-34035-2
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2013
Softcover ISBN: 978-3-642-34034-5Published: 16 December 2012
eBook ISBN: 978-3-642-34035-2Published: 15 December 2012
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 161
Number of Illustrations: 21 b/w illustrations
Topics: Approximations and Expansions, Ordinary Differential Equations, Sequences, Series, Summability