title: Computer algebra resolves a multitude of microscale interactions to model stochastic partial differential equations
creator: Roberts, A. J.
subject: 230202 Stochastic Analysis and Modelling
subject: 230116 Numerical Analysis
subject: 230113 Dynamical Systems
description: [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. 
publisher: University of Southern Queensland, Department of Maths and Computing
date: 2005-12-17
type: Report
type: NonPeerReviewed
format: application/pdf
identifier: http://eprints.usq.edu.au/1242/1/multinoise.pdf
identifier: 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 (Unpublished)
relation: http://eprints.usq.edu.au/1242/