On the use of Z-transforms in the summation of transseries for partial differential equations: ??????????
Howls, Christoper J. (2008) On the use of Z-transforms in the summation of transseries for partial differential equations: ?????????? 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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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|
|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
|Accepted Date and Publication Date:||
|Date Deposited:||09 Jun 2006|
|Last Modified:||31 Mar 2016 12:08|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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