Practical Considerations in the Numerical Solution of the N-Body Problem by Taylor Series Methods

Details Practical Considerations in the Numerical Solution of the N-Body Problem by Taylor Series Methods Practical Considerations in the Numerical Solution of the N-Body Problem by Taylor Series Methods

Nov 1973

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1973cemec...8..357b&link_type=abstract

Celestial Mechanics, Volume 8, Issue 3, pp.357-370

Computer Science

10

Scientific paper

It is shown that in the numerical integration ofN-body problems, as much importance should be given to considerations of the computer programming language to be used as to questions of the accummulation of round-off and truncation error, the stability of the method chosen and the problem being treated. By careful programming processing time may be cut by a factor of 2 or 3 which is an important consideration in extended numerical investigations. The relative usefulness of differing strategies for determining the step size is discussed and in addition the usefulness is shown of treatingN-body problems by a Taylor series method.

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