Mathematics of Computation

Author(s): Werner M. Seiler.
Journal: Math. Comp. 68 (1999), 661-681.
MSC (1991): Primary 65L05, 70H05; Secondary 70--08
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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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Retrieve articles in Mathematics of Computation with MSC (1991): 65L05, 70H05, 70--08

Werner M. Seiler
Affiliation: Lehrstuhl I für Mathematik, Universität Mannheim, D-68131 Mannheim, Germany
Email: wms@ira.uka.de

DOI: 10.1090/S0025-5718-99-01010-8
PII: S 0025-5718(99)01010-8
Keywords: Constrained Hamiltonian system, Dirac bracket, Hamilton-Dirac equations of motion, extended Hamiltonian, numerical integration
Received by editor(s): August 22, 1996
Received by editor(s) in revised form: March 17, 1997 and July 30, 1997
Additional Notes: This work was supported by the Deutsche Forschungsgemeinschaft.
Copyright of article: Copyright 1999, American Mathematical Society

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