This software solves partial differential equations on the two dimensional sphere such as the Jeffery's equation for fiber orientation distributions. The software is described at https://stephenmontgomerysmith.github.io/preprints/pde-sphere.html.
The version of the software described in the paper is spherical-2.26. The most recent release of the software is spherical-3.13. It is substantially faster than version 2.26, and includes several corrections.
(Version 3.01 comes in a "cuda" version that is capable of using nvidia graphics cards. This only works for the Folgar-Tucker equation, and seems to be unreliable.)
It may be downloaded here.
This work was supported by the National Science Foundation NSF CMMI 0727399.