Abstract
This chapter describes the main tools for asymptotic expansions. In particular, an expansion depends on the use of an asymptotic sequence formed from order functions. Different approaches can be used but, keeping in mind we are interested in practical methods, we use a set of order functions for which a total ordering exists. A more in-depth study can be found in the book by Eckhaus [33].
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© 2007 Springer-Verlag Berlin Heidelberg
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(2007). Asymptotic Expansions. In: Asymptotic Analysis and Boundary Layers. Scientific Computation. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-46489-1_4
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DOI: https://doi.org/10.1007/978-3-540-46489-1_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-46488-4
Online ISBN: 978-3-540-46489-1
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