- SCILAB function contour3d to draw isosurfaces of a function of space (three variables). Analogous to contour2d. Download contour3d.sci and two examples of its use in testiso.sci
- MATLAB functions to numerically solve differential-algebraic
equations (DAEs): get all the following and some limited
explanation by downloading dae.dtx and
running it through LaTeX. It contains:
- a general purpose second-order function, dae2.m,
- a cheap fourth-order function, dae4.m (but for which neutral oscillations and waves are numerically unstable),
- and a fourth-order function, dae4o.m good for dynamics with neutral oscillations and waves.
- I also have two MATLAB functions to numerically integrate
stochastic differential equations (SDEs): sde1.m integrates an SDE that has only one
noise source; whereas sde1m.m integrates
an sde with multiple noise sources.
These routines are only first order accurate because it is a cow of a job to write higher order accurate routines to provide strong solutions to the SDE.
- fdim.sh a short MATLAB script
to compute generalised dimensions and f(alpha) curve of a
fractal or multi-fractal distribution.
There are six files packed together using the Unix shar utility: five are functions used to compute the generalised dimensions and the f(alpha) curve; the sixth (eg.m) is an example script to check that it works. This is an early release of what I have found to be a robust algorithm, I welcome comments.