Error analysis of variational integrators of unconstrained Lagrangian systems

Abstract

A complete error analysis of variational integrators is obtained, by blowing up the discrete variational principles, all of which have a singularity at zero time-step. Divisions by the time step lead to an order that is one less than observed in simulations, a deficit that is repaired with the help of a new past-future symmetry.

Corrections. Additional examples section

References in corpus (2)

• Geometric discrete analogues of tangent bundles and constrained Lagrangian systems
• Skew critical problems

Cited by in corpus (1)

• On converting any one-step method to a variational integrator of the same order