Geodesic
A fifth-order five-stage embedded method of the Dormand–Prince type
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 7, pp. 1181-1191 
I. V. Olemskoi. A fifth-order five-stage embedded method of the Dormand–Prince type. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 7, pp. 1181-1191. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_7_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

An explicit embedded method is examined for the numerical integration of a system of ordinary differential equations of a special form. Fifth-order five-stage numerical schemes with automatic step size selection are constructed for special systems of differential equations of the first and second orders.

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