Numerical integration of constrained Hamiltonian systems using Dirac brackets

Seiler, Werner

doi:10.1090/S0025-5718-99-01010-8

Numerical integration of constrained Hamiltonian systems using Dirac brackets
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by Werner M. Seiler PDF

Math. Comp. 68 (1999), 661-681 Request permission

Abstract:

We study the numerical properties of the equations of motion of constrained systems derived with Dirac brackets. This formulation is compared with one based on the extended Hamiltonian. As concrete examples, a pendulum in Cartesian coordinates and a chain molecule are treated.

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