Asymptotic Analysis of Differential Equations

Zusammenfassung A useful graduate level text on the asymptotic analysis of ordinary differential equations, this book covers various important methods including dominant balance, the use of divergent asymptotic series, phase integral methods, asymptotic evaluation of integrals, and boundary layer analysis. Inhaltsverzeichnis * Dominant Balance * Exact Solutions * Complex Variables * Local Approximate Solutions * Phase Integral Methods * Perturbation Theory * Asymptotic Evaluation of Integrals * The Euler Gamma Function * Integral Solutions * Expansion in Basis Functions * Airy * Bessel * Weber- Hermite * Whittaker and Watson * Inhomogeneous Differential Equations * The Riemann Zeta Function * Boundary Layer Problems

Product details

• Authors: Roscoe B White, Roscoe B White, Roscoe B (Princeton Plasma Physics Laborato White, Roscoe B (Princeton Plasma Physics Laboratoy White, Roscoe B (Princeton Univ White, Roscoe B. White
• Publisher: Imperial College Press
• Languages: English
• Product format: Hardback
• Released: 29.12.2005
• EAN: 9781860945878
• ISBN: 978-1-86094-587-8
• No. of pages: 304
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Differential Equations / General, Differential calculus & equations, Differential calculus and equations