On the use of Z-transforms in the summation of transseries for partial differential equations: ??????????
On the use of Z-transforms in the summation of transseries for partial differential equations: ??????????
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.
asymptotics, approximation, resurgence, resummation, nonlinear pdes, pdes, partial differential equations, shocks, nonlinear partial differential equations
9784431732396
8pp
Howls, Christoper J.
66d3f0f0-376c-4f7a-a206-093935e6c560
2008
Howls, Christoper J.
66d3f0f0-376c-4f7a-a206-093935e6c560
Howls, Christoper J.
(2008)
On the use of Z-transforms in the summation of transseries for partial differential equations: ??????????
Aoki, T, Majima, H, Takei, Y and Tose, N
(eds.)
In Algebraic Analysis of Differential Equations from Microlocal Analysis to Exponential Asymptotics: Festschrift in Honor of Takahiro Kawai.
Springer.
.
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Conference or Workshop Item
(Paper)
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.
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Published date: 2008
Venue - Dates:
Festschrift in Honor of Takahiro Kawai, Kyoto, Japan, 2005-07-01 - 2005-07-01
Keywords:
asymptotics, approximation, resurgence, resummation, nonlinear pdes, pdes, partial differential equations, shocks, nonlinear partial differential equations
Identifiers
Local EPrints ID: 38424
URI: http://eprints.soton.ac.uk/id/eprint/38424
ISBN: 9784431732396
PURE UUID: b2874ca0-5907-48e9-8482-4dea618540b2
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Date deposited: 09 Jun 2006
Last modified: 16 Mar 2024 03:13
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Contributors
Editor:
T Aoki
Editor:
H Majima
Editor:
Y Takei
Editor:
N Tose
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