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.
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© 2011 Springer Science+Business Media, LLC
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Skinner, L.A. (2011). Uniform Expansion Theory. In: Singular Perturbation Theory. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-9958-0_1
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DOI: https://doi.org/10.1007/978-1-4419-9958-0_1
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Publisher Name: Springer, Boston, MA
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Online ISBN: 978-1-4419-9958-0
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