DiffMan - an object oriented MATLAB toolbox for solving differential equations on manifolds
Reports in Informatics No. 164, February 1999, Department of
Informatics, University of Bergen, Norway.
We describe an object oriented MATLAB toolbox for solving differential
equations on manifolds. The software reflects recent development
within the area of geometric integration. Through the use of elements
from differential geometry, in particular Lie groups and homogeneous
spaces, coordinate free formulations of numerical integrators are
developed. The strict mathematical definitions and results are well
suited for implementation in an object oriented language, and, due to
its simplicity, the authors have chosen MATLAB as the working
environment. The basic ideas of DiffMan are presented, along with
particular examples that illustrate the working of and the theory
behind the software package.