Exponential asymptotics: multi-level asymptotics of model problems
Say, Fatih (2016) Exponential asymptotics: multi-level asymptotics of model problems. PhD thesis, University of Nottingham.
Exponential asymptotics, which deals with the interpretation of divergent series, is a highly topical field in mathematics. Exponentially small quantities frequently arise in applications, and Poincar´e’s definition of an asymptotic expansion, unfortunately, fails to emphasise the importance of such small exponentials, as they are hidden behind the algebraic order terms. In this thesis, we introduce a new method of hyperasymptotic expansion by inspecting resultant remainders of series. We study the method from two different concepts.
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