Algebraic Analysis of Singular Perturbation

Translations of Mathematical Monographs - Volume 227

Takahiro Kawai, Yoshitsugu Takei - Collection Iwanami Series in Modern Mathematics

136 pages, parution le 26/01/2006

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Résumé

The topic of this book is the study of singular perturbations of ordinary differential equations, i.e., perturbations that represent solutions as asymptotic series rather than as analytic functions in a perturbation parameter. The main method used is the so-called WKB (Wentzel-Kramers-Brillouin) method, originally invented for the study of quantum-mechanical systems. The authors describe in detail the WKB method and its applications to the study of monodromy problems for Fuchsian differential equations and to the analysis of Painlevé functions. The volume is suitable for graduate students and researchers interested in differential equations and special functions.

Readership : Graduate students and research mathematicians interested in differential equations and special functions.

Sommaire

Borel resummation
WKB analysis of Schrödinger equations
Applications of WKB analysis to global problems
WKB analysis of the Painlevé function
Future directions and projects
Appendix
Bibliography

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Caractéristiques techniques

	PAPIER
Éditeur(s)	American Mathematical Society (AMS)
Auteur(s)	Takahiro Kawai, Yoshitsugu Takei
Collection	Iwanami Series in Modern Mathematics
Parution	26/01/2006
Nb. de pages	136
Format	14 x 21,5
Couverture	Broché
Poids	185g
Intérieur	Noir et Blanc
EAN13	9780821835470
ISBN13	978-0-8218-3547-0