Error analysis of variational integrators of unconstrained Lagrangian systems

Details Error analysis of variational integrators of unconstrained Lagrangian systems Error analysis of variational integrators of unconstrained Lagrangian systems

2008-07-09

arxiv.org/abs/0807.1516v3

Mathematics

Numerical Analysis

Corrections. Additional examples section

Scientific paper

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.

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