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 |
| Item ID: | 38424 |
| Date Deposited: | 09 Jun 2006 |
| Last Modified: | 28 Jun 2012 10:26 |
| Contributors: | Howls, Christoper J. (Author) Aoki, T (Editor) Majima, H (Editor) Takei, Y (Editor) Tose, N (Editor) |
| Date: | 2008 |
| Status: | Published |
| Publisher: | Springer |
| URI: | http://eprints.soton.ac.uk/id/eprint/38424 |
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