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Numerische Mathematik

, Volume 113, Issue 2, pp 243–264 | Cite as

Error analysis of variational integrators of unconstrained Lagrangian systems

  • George W. PatrickEmail author
  • Charles Cuell
Article

Abstract

An 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.

Mathematics Subject Classification (2000)

65L05 49S05 70H 37J 

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Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  1. 1.Department of Mathematics and Statistics, Applied Mathematics and Mathematical PhysicsUniversity of SaskatchewanSaskatoonCanada

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