Position versus Momentum Projections for Constrained Hamiltonian Systems

Reference: Numerical Algorithms, 19 (1998) 223-234

Description: The results of [16, 113] indicate that for the numerical integration of constrained Hamiltonian systems preservation of the momentum constraints is more important than preservation of the position constraints. This article provides further evidence for this effect and studies it from the point of view of projection methods applied to the classical equations of motion. It is shown that, in contrast to position projections, momentum projections are canonical transformations and lead to lower error growth rates.

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