Composite Asymptotic Expansions

• Κύριοι συγγραφείς: Fruchard, Augustin (Συγγραφέας), Schäfke, Reinhard (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Σειρά: Lecture Notes in Mathematics, 2066
• Θέματα: Mathematics.; Approximation theory.; Differential equations.; Sequences (Mathematics).; Approximations and Expansions.; Ordinary Differential Equations.; Sequences, Series, Summability.

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...

Πίνακας περιεχομένων:

• 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.