Geodesic
The exact formula for the optimal parameter of the ROS4 schemes
Matematičeskoe modelirovanie, Tome 19 (2007) no. 11, pp. 96-98

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The ROS4 schemes depending on one parameter are used often to calculate stiff systems of differential equations. The optimal values of the parameter are those, when the scheme occurs L1-stable. The analytic formula is found for these parameter values. 
@article{MM_2007_19_11_a10,
     author = {N. N. Kalitkin},
     title = {The exact formula for the optimal parameter of the {ROS4} schemes},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {96--98},
     publisher = {mathdoc},
     volume = {19},
     number = {11},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2007_19_11_a10/}
}
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N. N. Kalitkin. The exact formula for the optimal parameter of the ROS4 schemes. Matematičeskoe modelirovanie, Tome 19 (2007) no. 11, pp. 96-98. http://geodesic.mathdoc.fr/item/MM_2007_19_11_a10/