Error analysis of variational integrators of unconstrained Lagrangian systems
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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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