Geodesic
Runge–Kutta collocation methods for differential-algebraic equations of indices 2 and 3
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 10, pp. 1801-1811 
L. M. Skvortsov. Runge–Kutta collocation methods for differential-algebraic equations of indices 2 and 3. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 10, pp. 1801-1811. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_10_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Stiffly accurate Runge–Kutta collocation methods with explicit first stage are examined. The parameters of these methods are chosen so as to minimize the errors in the solutions to differential-algebraic equations of indices 2 and 3. This construction results in methods for solving such equations that are superior to the available Runge–Kutta methods.

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