Abstract
This Chapter introduces definitions of an asymptotic expansion of a function, operations with asymptotic series, and discusses elementary examples of the methods of asymptotic expansions applied to the problem of averaging the processes in periodic media. Many model examples of asymptotic methods used for investigating problems of mechanics are discussed in [101, 103].
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© 1989 Kluwer Academic Publishers
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Bakhvalov, N., Panasenko, G. (1989). The Concept of Asymptotic Expansion. A Model Example to Illustrate the Averaging Method. In: Homogenisation: Averaging Processes in Periodic Media. Mathematics and its Applications, vol 36. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2247-1_2
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DOI: https://doi.org/10.1007/978-94-009-2247-1_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7506-0
Online ISBN: 978-94-009-2247-1
eBook Packages: Springer Book Archive