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A novel integration scheme for partial differential equations: An application to the complex Ginzburg-Landau equation

✍ Scribed by Alessandro Torcini; Helge Frauenkron; Peter Grassberger

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 417 KB
Volume: 103
Category: Article
ISSN: 0167-2789
DOI: 10.1016/s0167-2789(96)00289-8

No coin nor oath required. For personal study only.

✦ Synopsis

A new integration scheme, combining the stability and the precision of usual pseudo-spectral codes with the locality of finite difference methods, is introduced. It turns out to be particularly suitable for the study of front and disturbance propagation in extended systems. An application to the complex Ginzburg-Landau equation shows the higher precision of this method with respect to spectral ones.

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