Uniform Expansion Theory

Lindsay A. Skinner ()
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Lindsay A. Skinner: University of Wisconsin - Milwaukee, Department of Mathematical Sciences

Chapter Chapter 1 in Singular Perturbation Theory, 2011, pp 1-14 from Springer

Abstract: Abstract Roughly speaking, a function z(x, ε) is a singular perturbation of z(x, 0) if z(x, 0) fails to approximate z(x, ε) for all x of interest when ε is small. Uniformly valid approximations for such functions can often be found by the so-called method of matched asymptotic expansions. The purpose of this book is to present a rigorous development of this method and its application to integral and differential equation problems.

Date: 2011
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DOI: 10.1007/978-1-4419-9958-0_1

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