On the accuracy in the numerical solution of the N-body problem

Details On the accuracy in the numerical solution of the N-body problem On the accuracy in the numerical solution of the N-body problem

Oct 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979cemec..20..209z&link_type=abstract

Celestial Mechanics, vol. 20, Oct. 1979, p. 209-230.

Computer Science

Numerical Analysis

1

Celestial Mechanics, Many Body Problem, Numerical Analysis, Equations Of Motion, Error Analysis, Numerical Integration, Partial Differential Equations, Tables (Data), Two Body Problem

Scientific paper

There exist several widely used methods that give a qualitative estimation of the accuracy of the results in the numerical solution of the N-body problem. The 'reverse' and 'closure' tests are examined here critically. A method has been developed for the estimation of global errors propagated in the numerical solution of ordinary and partial differential equations that has proven to be rather efficient in numerous cases. Applications of the method to several cases of the N-body problem are made and the advantages and limitations of the method are shown in a set of examples.

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