Geodesic
On difference schemes with artificial dispersion
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 6, pp. 1355-1369 Cet article a éte moissonné depuis la source Math-Net.Ru

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The interior dissipative and dispersion properties of difference schemes for non-linear hyperbolic equations are studied by analyzing the differential approximation. The examples of the quasilinear transport equation and the system of equations of isothermal gas dynamics are considered. A class of schemes with artificial dispersion is studied, whereby the distorting effect of interior dispersion and dissipation on the difference solution is weakened. The theoretical results are confirmed by direct computations. 
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     author = {S. I. Mukhin and S. B. Popov and Yu. P. Popov},
     title = {On difference schemes with artificial dispersion},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1355--1369},
     year = {1983},
     volume = {23},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_6_a6/}
}
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S. I. Mukhin; S. B. Popov; Yu. P. Popov. On difference schemes with artificial dispersion. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 6, pp. 1355-1369. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_6_a6/