Composite Asymptotic Expansions

• Main Authors: Fruchard, Augustin. (Author), Schf̃ke, Reinhard. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: Lecture Notes in Mathematics, 2066
• Subjects: Mathematics.; Differential Equations.; Sequences (Mathematics).; Approximations and Expansions.; Ordinary Differential Equations.; Sequences, Series, Summability.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-34035-2

The purpose of these lecture notes is to develop a theory of asymptotic expansions for functions involving two variables, while at the same time using functions involving one variable and functions of the quotient of these two variables. Such composite asymptotic expansions (CAsEs) are particularly...

Table of Contents:

• Four Introductory Examples
• Composite Asymptotic Expansions: General Study
• Composite Asymptotic Expansions: Gevrey Theory
• A Theorem of Ramis-Sibuya Type
• Composite Expansions and Singularly Perturbed Differential Equations
• Applications
• Historical Remarks
• References
• Index.