Geodesic
On the solving of difference initial boundary value problems by operator exponential method
Matematičeskoe modelirovanie, Tome 9 (1997) no. 5, pp. 97-107.

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Modification of the operator exponential scheme for the numerical solving of the difference linear initial boundary value problems is suggested. The scheme is based on the representation of the difference operator for given boundary conditions as the perturbation of the same operator for periodic ones. Analysis of the error, stability and efficiency of the scheme is performed for model example of one-dimensional difference Laplace operator. 
@article{MM_1997_9_5_a9,
     author = {I. M. Nefedov and I. A. Shereshevskii},
     title = {On the solving of difference initial boundary value problems by operator exponential method},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {97--107},
     publisher = {mathdoc},
     volume = {9},
     number = {5},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1997_9_5_a9/}
}
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I. M. Nefedov; I. A. Shereshevskii. On the solving of difference initial boundary value problems by operator exponential method. Matematičeskoe modelirovanie, Tome 9 (1997) no. 5, pp. 97-107. http://geodesic.mathdoc.fr/item/MM_1997_9_5_a9/