Superconvergence of Galerkin variational integrators
arXiv:2104.12221 · doi:10.1016/j.ifacol.2021.11.098
Abstract
We study the order of convergence of Galerkin variational integrators for ordinary differential equations. Galerkin variational integrators approximate a variational (Lagrangian) problem by restricting the space of curves to the set of polynomials of degree at most and approximating the action integral using a quadrature rule. We show that, if the quadrature rule is sufficiently accurate, the order of the integrators thus obtained is .
7 pages, no figures. This work has been submitted to IFAC for possible publication