Geodesic
L-stable (4,2)-method of the fourth order for solving stiff problems
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2011), pp. 59-68 Cet article a éte moissonné depuis la source Math-Net.Ru

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(M,k)-methods for solving stiff problems, in which on each step two times the right-hand side of the system of differential equations is calculated are investigated. It is shown that the maximum order of accuracy of the L-stable (m,2)-method is equal to four. (4,2)-method of maximal order is built.
Keywords: stiff problem, methods of Rosenbrock, (m,k)-methods, L-stability. 
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     title = {L-stable (4,2)-method of the fourth order for solving stiff problems},
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E. A. Novikov. L-stable (4,2)-method of the fourth order for solving stiff problems. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2011), pp. 59-68. http://geodesic.mathdoc.fr/item/VSGU_2011_8_a6/

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