A comparison of numerical integrators of ODEs

São José dos Campos

Congreso; Dynamics Days South America 2010; 2010

Instituto Nacional de Pesquisas Espaciais - INPE

In most of the problems that rise from the investigation on dynamical systems as well as in every realistic model, the corresponding differential equations has to be solved by means of numerical techniques. Its computational implementation should be as fast and precise as possible, in order to minimize the numerical error and the computing time. Here we will compare the efficiency in both computing time and precision of an original software, developed by Jorba and Zou, which integrates differential equations by means of the Taylor method, against other two well known integrators, one based on a Runge-Kutta (DOPRI8) and the other on a predictor-corrector (Bulirsch-Stöer).