Error analysis of variational integrators of unconstrained Lagrangian systems
classification
🧮 math.NA
cs.NAmath-phmath.DGmath.DSmath.MP
keywords
variationalanalysiserrorintegratorsblowingcompletedeficitdiscrete
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.