E-Book Overview
The theory of singular perturbations has evolved as a response to the need to find approximate solutions (in an analytical form) to complex problems. Typically, such problems are expressed in terms of differential equations which contain at least one small parameter, and they can arise in many fields: fluid mechanics, particle physics and combustion processes, to name but three.
E-Book Content
SINGULAR PERTURBATION THEORY
MATHEMATICAL AND ANALYTICAL TECHNIQUES WITH APPLICATIONS TO ENGINEERING
MATHEMATICAL AND ANALYTICAL TECHNIQUES WITH APPLICATIONS TO ENGINEERING Alan Jeffrey, Consulting Editor
Published: Inverse Problems
A. G. Ramm Singular Perturbation Theory
R. S. Johnson
Forthcoming: Methods for Constructing Exact Solutions of Partial Differential Equations with Applications
S. V. Meleshko The Fast Solution of Boundary Integral Equations
S. Rjasanow and O. Steinbach Stochastic Differential Equations with Applications
R. Situ
SINGULAR PERTURBATION THEORY
MATHEMATICAL AND ANALYTICAL TECHNIQUES WITH APPLICATIONS TO ENGINEERING
R. S. JOHNSON
Springer
eBook ISBN: Print ISBN:
0-387-23217-6 0-387-23200-1
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To Ros, who still, after nearly 40 years, sometimes listens when I extol the wonders of singular perturbation theory, fluid mechanics or water waves