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https://hdl.handle.net/2440/56616
Type: | Report |
Title: | Computer algebra compares the stochastic superslow manifold of an averaged SPDE with that of the original slow-fast SPDE |
Author: | Roberts, A. |
Issue Date: | 2010 |
Statement of Responsibility: | Roberts, A. J. |
Abstract: | The computer algebra routines documented here empower you to reproduce and check many of the details described by an article on large deviations for slow-fast stochastic systems [Wang et al., 2010]. We consider a `small' spatial domain with two coupled concentration fields, one governed by a `slow' reaction-diffusion equation and one governed by a stochastic `fast' linear equation. In the regime of a stochastic bifurcation, we derive two superslow models of the dynamics: the first is of the averaged model of the slow dynamics derived via large deviation principles; and the second is of the original fast-slow dynamics. Comparing the two superslow models validates the averaging in the large deviation principle in this parameter regime |
Keywords: | Computer algebra stochastic partial differential equations stochastic centre manifold slow-fast systems large deviations |
Description (link): | http://www.maths.adelaide.edu.au/anthony.roberts/ |
Appears in Collections: | Applied Mathematics publications Aurora harvest 5 |
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