Geodesic
Computations with inverse Runge--Kutta schemes
Matematičeskoe modelirovanie, Tome 25 (2013) no. 10, pp. 79-96

Voir la notice de l'article provenant de la source Math-Net.Ru

New subclass of fully implicit Runge–Kutta schemes is considered. This subclass has outstanding accuracy and stability characteristics. Implementation details of iterative algorithm for solving stiff systems of ODE and differential-algebraic systems with inverse Runge–Kutta schemes are described.
Keywords: stiff systems, differential-algebraic systems, implicit Runge–Kutta schemes. 
@article{MM_2013_25_10_a6,
     author = {N. N. Kalitkin and I. P. Poshivaylo},
     title = {Computations with inverse {Runge--Kutta} schemes},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {79--96},
     publisher = {mathdoc},
     volume = {25},
     number = {10},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2013_25_10_a6/}
}
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N. N. Kalitkin; I. P. Poshivaylo. Computations with inverse Runge--Kutta schemes. Matematičeskoe modelirovanie, Tome 25 (2013) no. 10, pp. 79-96. http://geodesic.mathdoc.fr/item/MM_2013_25_10_a6/