Geodesic
Difference schemes for non-stable problems
Matematičeskoe modelirovanie, Tome 2 (1990) no. 11, pp. 89-98.

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The paper deals with some basic methods for non-stable mathematical physics problems. The example of ill-posed model problem for parabolic equation of second order is considered. Stability of this schemes is studied by usage of general results of $rho$-stability theory. The regularisation of finitedifference schemes is similar to some modification of the quasy-inversion method for differential problems. 
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     author = {A. A. Samarskii and P. N. Vabishchevich},
     title = {Difference schemes for non-stable problems},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {89--98},
     publisher = {mathdoc},
     volume = {2},
     number = {11},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1990_2_11_a8/}
}
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A. A. Samarskii; P. N. Vabishchevich. Difference schemes for non-stable problems. Matematičeskoe modelirovanie, Tome 2 (1990) no. 11, pp. 89-98. http://geodesic.mathdoc.fr/item/MM_1990_2_11_a8/