Geodesic
Diagonally implicit Runge–Kutta methods for stiff problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 12, pp. 2209-2222

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Diagonally implicit Runge–Kutta methods are examined. It is shown that, for stiff problems, the methods based on the minimization of certain error functions have advantages over other methods; these functions are determined in terms of the errors for simplest model equations. Methods of orders three, four, five, and six are considered. 
@article{ZVMMF_2006_46_12_a8,
     author = {L. M. Skvortsov},
     title = {Diagonally implicit {Runge{\textendash}Kutta} methods for stiff problems},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {2209--2222},
     publisher = {mathdoc},
     volume = {46},
     number = {12},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_12_a8/}
}
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L. M. Skvortsov. Diagonally implicit Runge–Kutta methods for stiff problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 12, pp. 2209-2222. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_12_a8/