The following links to computer algebra routines and documentation support my research into the complexities of spatio-temporal dynamics. They are written in Reduce as it is powerful and flexible. Centre manifold theory usually provides the theoretical support.
See the Modelling book to learn about these techniques. All these routines are made available with no warranty whatsoever---use them at your own risk.
- Computer algebra models the inertial dynamics of a thin film flow of power law fluids and other non-Newtonian fluids [19 Feb 2007] Download
- Computer algebra derives normal forms of stochastic differential equations [23 Jan 2007] Download
- Computer algebra derives discretisations of the stochastically forced Burgers' partial differential equation [28 Jan 2006] Download
- Computer algebra resolves a multitude of microscale interactions to model stochastic partial differential equations [13 Dec 2005] Download
- Construct a model of turbulent 2D flow of shallow water waves on a flat slope based on the $k$-$\omega$ turbulence model [19 Sept 2005] Download
- Multiscale discretisation of generalised advection-diffusion equations on gap-tooth patches using mixed patch boundary conditions [4 Mar 2005] Download
- Multiscale discretisation of generalised advection-diffusion equations on gap-tooth patches using fixed flux patch boundary conditions [Sept 2004] Download
- Check the slowly-varying normal form of thin film fluids [31 Aug 2004] Download
- Computer algebra shows Shear dispersion along circular pipes is affected by bends, but the torsion of the pipe is negligible [24 March 2004] Download
- Constructs slowly-varying lubrication model of thin film 3D fluid flows on arbitrarily curved 2D substrates [16 Sept 2003] Download