Roberts, A. J. (2005) Computer algebra resolves a multitude of microscale interactions to model stochastic partial differential equations. Technical Report. University of Southern Queensland, Department of Maths and Computing, Toowoomba, Australia. (Unpublished)
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Abstract
[Abstract]: The computer algebra routines documented here empower you to reproduce and check many of the details described by Roberts (2006). We consider a small spatial domain, representing a finite element, and apply stochastic centre manifold techniques to derive a one degree of freedom model for the dynamics in the element. The approach automatically parametrises the microscale structures induced by spatially varying stochastic noise within the element. The crucial aspect of this work is that we explore how many noise processes may interact in nonlinear dynamics.
| Item Type: | Report (Technical Report) |
|---|---|
| Additional Information: | USQ publication. |
| Uncontrolled Keywords: | computer algebra, stochastic partial differential equations |
| Subjects: | 230000 Mathematical Sciences > 230200 Statistics > 230202 Stochastic Analysis and Modelling 230000 Mathematical Sciences > 230100 Mathematics > 230116 Numerical Analysis 230000 Mathematical Sciences > 230100 Mathematics > 230113 Dynamical Systems |
| ID Code: | 1242 |
| Deposited By: | Prof Tony Roberts |
| Deposited On: | 11 Oct 2007 10:37 |
| Last Modified: | 11 Oct 2007 10:37 |
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