Asymptotic Analysis Of Differential Equations (Revised Edition) e-bog
322,59 DKK
(inkl. moms 403,24 DKK)
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 ...
E-bog
322,59 DKK
Forlag
Imperial College Press
Udgivet
16 august 2010
Længde
432 sider
Genrer
PBKJ
Sprog
English
Format
pdf
Beskyttelse
LCP
ISBN
9781911298595
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 analytic 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.