- Want to study for a PhD? Download this two page leaflet that overviews projects I am keen to supervise.
- Holistic discretisation of dynamical Partial Differential Equations obtain the spatial discretisation of a dynamical PDE using dynamical systems theory.
- Book of multiscale modeliing of dynamics Dynamically generate a book on using modern dynamical techniques of slow manifolds, normal forms and computer algebra. Illustrates multiple scales, stochastic system modelling and numerical discretisations.
- Submit your data to analyse for multifractality Since it is notoriously difficult to analyse data for multifractal structure, submit your 2D data for me to find its maximum likelihood quarternary multiplicative multifractal approximation.
- Normal form of your system of SDEs or ODEs with multiscale fast and slow variables Submit your ODE or (Stratonovich) SDE and find its normal form that separates the dynamics into its true slow and fast variables.
- Recent research papers (titles, abstracts and electronic copies of research and other articles)
- Software (computer routines to do various taks such as estimate fractal dimensions, solve DAEs, etc, mainly in matlab)
- An introduction to the elements of using LaTeX. This is a set of web documents shows how to transform plain text into a beautifully typeset document in LaTeX. It introduces what I consider are the most important fundamentals of LaTeX2e.
- Educational and other material (oddments of material that support courses from 1st year to graduate)
- Lego fractals may be constructed to stun your friends.
- part of the Australian Research Council funded Complex Open Systems Network
characterising and
analysing complex systems for explanation, prediction and control.
Address
Prof A J RobertsDept Mathematics & Computing
University of Southern Queensland
Toowoomba 4352, Australia
Phone: (07) 4631 5539
Fax: (07) 4631 5550
Erdös Number 4
The Erdös Number is the distance from Paul Erdös (1913-1996) on a graph whose edges denote the relationship of coauthorship:- Paul Erdös, George Szekeres (1935) A combinatorial problem in geometry, Compositio Mathematica 2, 463--470. (Plus 4 other joint publications) .
- Lawrence Mysak and George Szekeres (1966) Behavior of the Schwarzschild singularity in superimposed gravitational fields. Canad. J. Phys. 44 617--627.
- Lawrence Mysak, D Howell Peregrine, David G Provis, Ronald Smith (1977) Waves on water of variable depth. J. Fluid Mech. 79, 449--462.
- A. J. Roberts and D Howell Peregrine, (1983) Notes on long-crested water wave, J. Fluid Mech., 135:323--335, 1983.