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  • 65L05  (1)
  • Springer  (1)
  • Institute of Physics
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    Electronic Resource
    Electronic Resource
    Position versus momentum projections for constrained Hamiltonian systems (1998)
    Springer
    Numerical algorithms 19 (1998), S. 223-234 
    Details
    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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