%0 Journal Article
%T On converting any one-step method to a variational integrator of the same order
%A George W. Patrick
%A Raymond J. Spiteri
%A William Zhang
%A Charles Cuell
%J Mathematics
%D 2009
%I arXiv
%X In the formalism of constrained mechanics, such as that which underlies the SHAKE and RATTLE methods of molecular dynamics, we present an algorithm to convert any one-step integration method to a variational integrator of the same order. The one-step method is arbitrary, and the conversion can be automated, resulting in a powerful and flexible approach to the generation of novel variational integrators with arbitrary order.
%U http://arxiv.org/abs/0903.0907v1