Space-Discretized Verlet-Algorithm from a Variational Principle
Keyword(s):
Abstract A form of the Verlet-algorithm for the integration of Newton’s equations of motion is derived from Hamilton's principle in discretized space and time. It allows the computation of exactly time-reversible trajectories on a digital computer, offers the possibility of systematically investigating the effects of space discretization, and provides a criterion as to when a trajectory ceases to be physical.
2010 ◽
Vol 56
(197)
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pp. 497-513
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1970 ◽
Vol 44
(1)
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pp. 19-31
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1955 ◽
Vol 51
(2)
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pp. 344-349
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Keyword(s):
1992 ◽
Vol 59
(2S)
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pp. S224-S229
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2000 ◽