On the use of Z-transforms in the summation of transseries for partial differential equations

Christopher J. Howls
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Christopher J. Howls: University of Southampton

A chapter in Algebraic Analysis of Differential Equations, 2008, pp 133-141 from Springer

Abstract: Abstract In this paper we give examples of the resummation of transseries in partial differential equations using the language of the Z-transform. In so doing we illustrate the relationship between matched and exponential asymptotic approaches to the modelling of shock waves.

Keywords: Burger Equation; Algebraic Order; Multiple Scale Analysis; Exponential Scale; Exponential Asymptotics (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-73240-2_13

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DOI: 10.1007/978-4-431-73240-2_13

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