On the use of Z-transforms in the summation of transseries for partial differential equations: 塵も積もれば山となる


Howls, Christoper J. (2008) On the use of Z-transforms in the summation of transseries for partial differential equations: 塵も積もれば山となる. In, Aoki, T, Majima, H, Takei, Y and Tose, N (eds.) Algebraic Analysis of Differential Equations from Microlocal Analysis to Exponential Asymptotics: Festschrift in Honor of Takahiro Kawai. Festschrift in Honor of Takahiro Kawai , Springer, 8pp. (Springer Titles in Analysis).

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Description/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.

Item Type: Book Section
ISBNs: 9784431732396 (hardback)
Related URLs:
Keywords: asymptotics, approximation, resurgence, resummation, nonlinear pdes, pdes, partial differential equations, shocks, nonlinear partial differential equations
Subjects: Q Science > QA Mathematics
Divisions: University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics
ePrint ID: 38424
Date Deposited: 09 Jun 2006
Last Modified: 27 Mar 2014 18:24
Publisher: Springer
URI: http://eprints.soton.ac.uk/id/eprint/38424

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