Geodesic
Efficient implementation of diagonally implicit Runge--Kutta methods
Matematičeskoe modelirovanie, Tome 26 (2014) no. 1, pp. 96-108

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Efficient schemes for the implementation of diagonally implicit Runge-Kutta methods are considered. Methods of 3-rd and 4-th orders are implemented. They are compared with known implicit solvers when applied to stiff and differential-algebraic problems.
Keywords: diagonally implicit Runge–Kutta methods, stiff problems, differential-algebraic problems
Mots-clés : efficient implementation. 
@article{MM_2014_26_1_a7,
     author = {L. M. Skvortsov and O. S. Kozlov},
     title = {Efficient implementation of diagonally implicit {Runge--Kutta} methods},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {96--108},
     publisher = {mathdoc},
     volume = {26},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2014_26_1_a7/}
}
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L. M. Skvortsov; O. S. Kozlov. Efficient implementation of diagonally implicit Runge--Kutta methods. Matematičeskoe modelirovanie, Tome 26 (2014) no. 1, pp. 96-108. http://geodesic.mathdoc.fr/item/MM_2014_26_1_a7/