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Numerical study of amplitude equations for SPDEs with degenerate forcing
Journal article   Peer reviewed

Numerical study of amplitude equations for SPDEs with degenerate forcing

Dirk Blömker, Wael W. Mohammed, Christian Nolde and Franz Wöhrl
International journal of computer mathematics, Vol.89(18), pp.2499-2516
01/12/2012
DOI: https://doi.org/10.1080/00207160.2012.662591

Abstract

amplitude equation degenerate noise multi-scale analysis SPDE spectral Galerkin method
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.

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