This book is a revised and updated version, including a substantial portion of new material, of our text Perturbation Methods in Applied Mathematics (Springer Verlag, 1981). We present the material at a level that assumes some familiarity with the basics of ordinary and partial differential equations. Some of the more advanced ideas are reviewed as needed; therefore this book can serve as a text in either an advanced undergraduate course or a graduate-level course on the subject. Perturbation methods, first used by astronomers to predict the effects of small disturbances on the nominal motions of celestial bodies, have now become widely used analytical tools in virtually all branches of science. A problem lends itself to perturbation analysis if it is "close" to a simpler problem that can be solved exactly. Typically, this closeness is measured by the occurrence of a small dimensionless parameter, E, in the governing system (consisting of differential equations and boundary conditions) so that for E = 0 the resulting system is exactly solvable. The main mathematical tool used is asymptotic expansion with respect to a suitable asymptotic sequence of functions of E. In a regular perturbation problem, a straightforward procedure leads to a system of differential equations and boundary conditions for each term in the asymptotic expansion. This system can be solved recursively, and the accuracy of the result improves as E gets smaller, for all values of the independent variables throughout the domain of interest. We discuss regular perturbation problems in the first chapter.
Produktkennzeichnungen
ISBN-10
0387942025
ISBN-13
9780387942025
eBay Product ID (ePID)
61214926
Produkt Hauptmerkmale
Produktart
Lehrbuch
Sprache
Englisch
Anzahl der Seiten
648 Seiten
Verlag
Springer Us, Springer New York
Publikationsname
Multiple Scale And Singular Perturbation Methods
Autor
J. D. Cole
Format
Gebundene Ausgabe
Erscheinungsjahr
1996
Zusätzliche Produkteigenschaften
Hörbuch
No
Inhaltsbeschreibung
Hc Runder Rücken Kaschiert
Item Length
24cm
Item Height
3cm
Item Width
16cm
Nummer Innerhalb der Serie
114
Mitautor
J. K. Kevorkian
Buchreihe
Applied Mathematical Sciences
Item Weight
1kg
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