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Uniform Expansion Theory

In: Singular Perturbation Theory

Author

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  • Lindsay A. Skinner

    (University of Wisconsin - Milwaukee, Department of Mathematical Sciences)

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.

Suggested Citation

  • Lindsay A. Skinner, 2011. "Uniform Expansion Theory," Springer Books, in: Singular Perturbation Theory, chapter 0, pages 1-14, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4419-9958-0_1
    DOI: 10.1007/978-1-4419-9958-0_1
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