H. Smith Jr. The dependence of statistical results from N-body calculations on N . Astronomy and Astrophysics, 76:192--199, 1979.  Home/Search   Document Not in Database   Summary   Related Articles

....if we had a perfect N body simulator, we could only run it a finite number of times, so there would still be the fundamental noise that is present in any finite sized statistical sample. Thus, there is little use in attempting to measure statistics any more accurately than this limit dictates [74, 73, 35, 38]. Also, a disadvantage of using direct N body simulation to collect statistics is that only a small amount of the wealth of information in a full N body simulation is ever extracted. 2 Thus direct N body simulation is not a particularly information efficient method of gathering statistics ....

....conservation is grossly violated. However, Lecar [53] chose to measure different statistics, and found them to vary widely depending on which machine or algorithm was used to integrate the problem. This will be further discussed below. 2.2.1 Efficiency of many small vs. one large simulation Smith [73] and Heggie [38] have noted that n simulations each with N=n particles is much less expensive than 1 simulation with N particles, and is also completely trivial to parallelize. Such sets of simulations can also give better statistics based on the larger sample size, as long as it is known how to ....

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H. Smith Jr. The dependence of statistical results from N-body calculations on N . Astronomy and Astrophysics, 76:192--199, 1979.

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