Geodesic
Efficient implementation of second order implicit Runge--Kutta methods
Matematičeskoe modelirovanie, Tome 25 (2013) no. 5, pp. 15-28

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Schemes for the implementation of second order implicit Runge–Kutta methods are considered. These schemes allow us to reduce the computational costs when solving stiff problems with low accuracy. Results of their comparison with implicit MATLAB solvers are demonstrated.
Keywords: implicit Runge–Kutta methods, stiff problems, low accuracy methods
Mots-clés : efficient implementation. 
@article{MM_2013_25_5_a1,
     author = {L. M. Skvortsov},
     title = {Efficient implementation of second order implicit {Runge--Kutta} methods},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {15--28},
     publisher = {mathdoc},
     volume = {25},
     number = {5},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2013_25_5_a1/}
}
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L. M. Skvortsov. Efficient implementation of second order implicit Runge--Kutta methods. Matematičeskoe modelirovanie, Tome 25 (2013) no. 5, pp. 15-28. http://geodesic.mathdoc.fr/item/MM_2013_25_5_a1/