DISCRETE HAMILTONIAN MECHANICS

DISCRETE HAMILTONIAN MECHANICS

In previous work, the mathematical theory of a new class of numerical methods for the integration of Newtonian equations of motion was developed. This new class, denoted "discrete mechanics", was shown to conserve, exactly, the additive constants of. motion (energy, linear and angular mome...

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Veröffentlicht in:International journal of general systems 1980-03, Vol.6 (1), p.3-12
1. Verfasser: LABUDDE, ROBERT A.
Format: Artikel
Sprache:eng
Schlagworte:
ascillators
canonical equations
computer modeling
conservation
discrete modeling
dynamical systems
Dynamics
generalized momenta
gravitation
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Beschreibung
Zusammenfassung:In previous work, the mathematical theory of a new class of numerical methods for the integration of Newtonian equations of motion was developed. This new class, denoted "discrete mechanics", was shown to conserve, exactly, the additive constants of. motion (energy, linear and angular momenta). This theory is now extended to include systems of canonical equations of the Hamiltonian form.
ISSN:0308-1079
1563-5104
DOI:10.1080/03081078008934777