Numerical study of amplitude equations for SPDEs with degenerate forcing

作者：Bloemker Dirk; Mohammed Wael W; Nolde Christian; Woehrl Franz

来源：International Journal of Computer Mathematics, 2012, 89(18): 2499-2516.

DOI：10.1080/00207160.2012.662591

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

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%26apos; equation in order to determine the quality of the approximation and the impact of degenerate noise on the approximating equation.

• 出版日期2012