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Energy Conserving, Liouville, and Symplectic Integrators

✍ Scribed by Daniel I. Okunbor

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
199 KB
Volume
120
Category
Article
ISSN
0021-9991

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✦ Synopsis

In this paper, we construct an integrator that converves volume in phase space. We compare the results obtained using this method and a symplectic integrator. The results of our experiments do not reveal any superiority of the symplectic over strictly volume-preserving integrators. We also investigate the effect of numerically conserving energy in a numerical process by rescaling velocities to keep energy constant at every step. Our results for Henon-Heiles problem show that keeping energy constant in this way destroys ergodicity and forces the solution onto a periodic orbit. 1995 Academic Press, Inc.

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