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Numerical study of amplitude equations for SPDEs with degenerate forcing.

Authors :
Blömker, Dirk
Mohammed, WaelW.
Nolde, Christian
Wöhrl, Franz
Source :
International Journal of Computer Mathematics. Dec2012, Vol. 89 Issue 18, p2499-2516. 18p. 1 Chart, 13 Graphs.
Publication Year :
2012

Abstract

In this paper, we give a review on rigorous and numerical results for amplitude equations. We focus on the Swift-Hohenberg equation and the Burgers' equation in order to determine the quality of the approximation and the impact of degenerate noise on the approximating equation. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*NUMERICAL solutions to stochastic partial differential equations
*NUMERICAL analysis
*BURGERS' equation
*APPROXIMATION theory
*MATHEMATICS
*MATHEMATICAL analysis
*FORCING (Model theory)

Details

Language :
English
ISSN :
00207160
Volume :
89
Issue :
18
Database :
Academic Search Index
Journal :
International Journal of Computer Mathematics
Publication Type :
Academic Journal
Accession number :
89667338
Full Text :
https://doi.org/10.1080/00207160.2012.662591
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