Geodesic
An investigation of the stability of certain two-layer difference schemes
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 1, pp. 151-156

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Estimates of the stability of weighted difference schemes in the norms of Banach spaces are constructed. On the basis of these, corresponding estimates are obtained for the stability, in the norms of the spaces $C_h$ and $L_{ph}$, $1\le p\infty$, of difference schemes which approximate an initial-boundary value problem for the heat-conduction equation with boundary conditions of the first, second and third kinds. 
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     author = {N. Yu. Bakaev},
     title = {An investigation of the stability of certain two-layer difference schemes},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
     volume = {30},
     number = {1},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_1_a14/}
}
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N. Yu. Bakaev. An investigation of the stability of certain two-layer difference schemes. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 1, pp. 151-156. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_1_a14/