ISSN:
1572-9265
Keywords:
constrained dynamics
;
Hamiltonian system
;
numerical integration
;
orthogonal projection
;
canonical transformation
;
Dirac bracket
;
perturbed state space form
;
70H05
;
65L05
;
70F20
;
70H15
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1019170926730
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