Abstract
We study the effect of position and momentum projections in the numerical integration of constrained Hamiltonian systems. We show theoretically and numerically that momentum projections are better and more efficient. They lead to smaller error growth rates and affect the energy error much less, as they define a canonical transformation. As a concrete example, the planar pendulum is treated.
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Seiler, W.M. Position versus momentum projections for constrained Hamiltonian systems. Numerical Algorithms 19, 223–234 (1998). https://doi.org/10.1023/A:1019170926730
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DOI: https://doi.org/10.1023/A:1019170926730