Computer algebra compares the stochastic superslow manifold of an averaged SPDE with that of the original slow-fast SPDE
| dc.contributor.author | Roberts, A. | |
| dc.date.issued | 2010 | |
| dc.description.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 | |
| dc.description.statementofresponsibility | Roberts, A. J. | |
| dc.description.uri | http://www.maths.adelaide.edu.au/anthony.roberts/ | |
| dc.identifier.orcid | Roberts, A. [0000-0001-8930-1552] | |
| dc.identifier.uri | http://hdl.handle.net/2440/56616 | |
| dc.language.iso | en | |
| dc.subject | Computer algebra | |
| dc.subject | stochastic partial differential equations | |
| dc.subject | stochastic centre manifold | |
| dc.subject | slow-fast systems | |
| dc.subject | large deviations | |
| dc.title | Computer algebra compares the stochastic superslow manifold of an averaged SPDE with that of the original slow-fast SPDE | |
| dc.type | Report | |
| pubs.publication-status | Published |