This page shows a splash in a pond. The animations produced by DPGraph and *Mathematica* are compared.

A solution to the wave equation, u_{tt} = u_{xx} + u_{yy}, which is periodic in time, radially symmetric, and has outgoing waves is

The Bessel functions are defined in *Mathematica*, but not in DPGraph, where I used approximations involving sines and cosines.

Click on the thumbnail to run the animation. To stop the DPGraph animation, close the program. To stop the *Mathematica* animation, which is an animated GIF displayed by your browser, click "back."

DPGraph (654 Bytes, < 1 KB) |
Mathematica v.5 (594 KB) |

Here is an updated splash file using Mathematica version 8.

Here is an example of a demonstration in Mathematica, for a quantum barrier.

As an experiment to see if we can get 3D graphics that most people can see, I made it by exporting a CDF file from within Mathematica v. 8. If you cannot view it, try installing Mathematica's CDF viewer. Reloading the page restores the original viewpoint.