Developer Conference Numerics Tutorial

Rob Knapp

Here is where you can download the notebook I gave the talk from. I have also included the notebooks for two other examples which I did not have time to include in my talk, but show some comparisons of different code and some significant speedups with Version 3.1 also.

Cholesky.nb

This is the notebook showing the example of the Cholesky Decomposition. In 3.1, the Cholesky decomposition will be implemented as a kernel function. All but he machine number code is implemented using Mathematica code similar to what I have in the talk, but with some refinements.

Bifurcation.nb

This shows an example which can quickly produce a bifurcation diagram for a map. This includes an implementation which uses Splice to generate code which is used via MathLink to run this example very quickly. If you have a UNIX type system, you can try the C code .

NLS.nb

This shows a simulation of the nonlinear Schrodinger equations which shows that a soliton does appear in some sense to be particle-like. A split-step method is implemented which allows long simulations.

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This page was last modified on: 28 Jun 1998 at 15:13

Robert Knapp rknapp@wolfram.com