A note on the equivalence of two recent time-integration schemes for \(N\)-body problems. (English) Zbl 1050.70003
Two time integration schemes, a recent one (by P. Betsch and P. Steinmann [J. Comput. Phys. 160, No. 1, 88–116 (2000; Zbl 0966.70003)]) energy conserving, and a previous one (by Simon and Gonzalez) energy and momentum conserving, are proved to be identical for the potential energy of interaction between masses of polynomial form of degree \(\leq 2\). For general forms of that potential energy the schemes give similar results.
Reviewer: M. Gousidou-Koutita (Thessaloniki)
MSC:
| 70-08 | Computational methods for problems pertaining to mechanics of particles and systems |
| 70F10 | \(n\)-body problems |
Citations:
Zbl 0966.70003References:
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