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Asymptotic Analysis of Differential Equations - Roscoe B. White

Asymptotic Analysis of Differential Equations

Paperback

Published: 16th August 2010
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The book gives the practical means of finding asymptotic solutions to differential equations, and relates WKB methods, integral solutions, Kruskal-Newton diagrams, and boundary layer theory to one another. The Construction of integral solutions and analytic continuation are used in conjunction with the asymptotic analysis, to show the interrelatedness of these methods. Some of the functions of classical analysis are used as examples, to provide an introduction to their analystic and asymptotic properties, and to give derivations of some of the important identities satisfied by them. The emphasis is on the various techniques of analysis: Obtaining asymptotic limits, connecting different asymptotic solutions, and Obtaining integral representation representation.

"This is a useful volume in which a wide selection of asymptotic techniques is clearly presented in a form suitable for both applied mathematicians and Physicists who require an introduction to asymptotic techniques."

It covers a wide variety of subjects, which serve as a good introduction to the techniques of asymptotic analysis. -- Mathematical Reviews "Mathematical Reviews"

Dominant Balance; Exact Solutions; Complex Variables; Local Approximate Solutions; Phase Integral Methods I; Perturbation Theory; Asymptotic Evaluation of Integrals; The Euler Gamma Function; Integral Solutions; Expansion in Basis Functions; Airy; Phase Integral Methods II; Bessel; Weber-Hermite; Whittaker and Watson; Inhomogeneous Differential Equations; The Riemann Zeta Function; Boundary Layer Problems.

ISBN: 9781848166080
ISBN-10: 1848166087
Audience: General
Format: Paperback
Language: English
Number Of Pages: 405
Published: 16th August 2010
Publisher: Imperial College Press
Country of Publication: GB
Dimensions (cm): 22.61 x 15.24  x 1.78
Weight (kg): 0.68
Edition Type: Revised