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- W1599623497 endingPage "98" @default.
- W1599623497 startingPage "1" @default.
- W1599623497 abstract "Singular perturbation methods, such as the method of multiple scales and the method of matched asymptotic expansions, give series in a small parameter ε which are asymptotic but (usually) divergent. In this survey, we use a plethora of examples to illustrate the cause of the divergence, and explain how this knowledge can be exploited to generate a 'hyperasymptotic' approximation. This adds a second asymptotic expansion, with different scaling assumptions about the size of various terms in the problem, to achieve a minimum error much smaller than the best possible with the original asymptotic series. (This rescale-and-add process can be repeated further.) Weakly nonlocal solitary waves are used as an illustration." @default.
- W1599623497 created "2016-06-24" @default.
- W1599623497 creator A5074056648 @default.
- W1599623497 date "1999-01-01" @default.
- W1599623497 modified "2023-09-25" @default.
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