Numerical Study of Amplitude Equations for SPDEs with Degenerate Forcing
- 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 see the quality of the approximation and the impact of degenerate noise on the approximating equation.
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| Author: | Dirk BlömkerORCiDGND, Wael W. MohammedGND, Christian Nolde, Franz Wöhrl |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-12471 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/1561 |
| Series (Serial Number): | Preprints des Instituts für Mathematik der Universität Augsburg (2011-12) |
| Type: | Preprint |
| Language: | English |
| Year of first Publication: | 2011 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2011/08/30 |
| Tag: | Spektralgalerkin |
| GND-Keyword: | Stochastische nichtlineare Differentialgleichung; Stochastische parabolische Differentialgleichung; Amplitudengleichung; Burgers-Gleichung |
| Note: | Erschienen in International Journal of Computer Mathematics, 89, 18, S. 2499-2516, https://doi.org/10.1080/00207160.2012.662591 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  Deutsches Urheberrecht mit Print on Demand |
