Geodesic
On the choice of a method for integrating the equations of motion of a set of fluid particles
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 4, pp. 697-710
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Results of numerical experiments are described in which the evolution of a set of fluid particles is computed using various time integration methods. Known exact solutions of the inviscid equations are used to analyze the errors of the methods occurring on various time intervals at the same computational costs. An adaptive algorithm for choosing an integration method depending on the domain of the phase space is proposed. The numerical results are presented as tables and plots. 
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V. N. Govorukhin. On the choice of a method for integrating the equations of motion of a set of fluid particles. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 4, pp. 697-710. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_4_a8/

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