Please use this identifier to cite or link to this item: http://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
RMID: 0030001173
Description (link): http://www.maths.adelaide.edu.au/anthony.roberts/
Appears in Collections:Applied Mathematics publications

Files in This Item:
There are no files associated with this item.


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.