MELVIN LEOK
California Institute of Technology
MSC 609
Pasadena, CA 91126-0609, USA
http://www.cds.caltech.edu/~mleok
mleok@cds.caltech.edu
Abstract:
We propose generalizing recent results regarding
the construction of sympletic integrators for
mechanical systems with symmetry. In particular,
we shall develop the discrete analogue of Abelian
Lagrangian Reduction, or equivalently, Routh
Reduction. In addition, we shall apply the
construction procedure to the heavy Lagrangian
top, and the heavy, rapidly-spinning, asymmetric
top.