Estimation of global errors in the numerical solution of ordinary differential equations.

Details Estimation of global errors in the numerical solution of ordinary differential equations. Estimation of global errors in the numerical solution of ordinary differential equations.

Jan 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993comph...7...81b&link_type=abstract

Comput. Phys., Vol. 7, No. 1, p. 81 - 86

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The aim of this work is to present a new method to estimate errors
propagated in the numerical integration of ordinary differential
equations. The method has proved to be very efficient in many numerical
applications, and its main advantages are shown in a set of examples
concerning some cases of the gravitational N-body problem.

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