Geodesic
Comparison of difference schemes for the transfer equation
Matematičeskoe modelirovanie, Tome 18 (2006) no. 4, pp. 35-42 
N. N. Kalitkin; I. A. Kozlitin. Comparison of difference schemes for the transfer equation. Matematičeskoe modelirovanie, Tome 18 (2006) no. 4, pp. 35-42. http://geodesic.mathdoc.fr/item/MM_2006_18_4_a2/
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     title = {Comparison of difference schemes for the transfer equation},
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     url = {http://geodesic.mathdoc.fr/item/MM_2006_18_4_a2/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The traditional schemes of running calculations were interpreted as one-staged Rosenbrock schemes. The properties of these schemes were investigated. The problem of calculations for very large time was specially researched because of large influence of scheme dissipation. The a priori estimations of this dissipation were made. The conservation of impulse area under calculations was proved. It was found the case of zero or finite sound velocity on separated points or lines didn't lead to difficulties.

[1] Kalitkin N. N., Chislennye metody, Nauka, M., 1978 | MR

[2] Khairer E., Vanner G., Reshenie obyknovennykh differentsialnykh uravnenii. Zhestkie i differentsi- alno-algebraicheskie zadachi, Mir, M., 1999, 685 pp.

[3] Rosenbrock H. H., “Some general implicit processes for the numerical solution of differential equations”, Comput. J., 5:4 (1963), 329–330 | DOI | MR | Zbl