Geodesic
Diagonally implicit Runge-Kutta methods for differential-algebraic equations of indices 2 and 3
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 6, pp. 1047-1059 
L. M. Skvortsov. Diagonally implicit Runge-Kutta methods for differential-algebraic equations of indices 2 and 3. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 6, pp. 1047-1059. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_6_a6/
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     title = {Diagonally implicit {Runge-Kutta} methods for differential-algebraic equations of indices 2 and~3},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Diagonally implicit Runge-Kutta methods satisfying additional order conditions are examined. These conditions make it possible to solve differential algebraic equations of indices two and three to higher accuracy. Advantages of the proposed methods over other known techniques are demonstrated using test problems.

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