Geodesic
Investigation on artificial boundary conditions constructed by periodization and introduction of a~small parameter for subsonic flow problems
Matematičeskoe modelirovanie, Tome 10 (1998) no. 9, pp. 87-98.

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One way of numerical constructing of artificial boundary conditions (ABC) by means of difference potentials method is considered. This way was proposed by V. S. Ryaben'kii and S. V. Tsynkov for ABC construction in flow problems and had its base in a periodic auxiliary problem with a small parameter. An analysis and justification of this way on a model problem is suggested in this paper. The analysis is made in terms of a differential problem. 
@article{MM_1998_10_9_a6,
     author = {M. N. Mishkov and V. S. Ryaben'kii},
     title = {Investigation on artificial boundary conditions constructed by periodization and introduction of a~small parameter for subsonic flow problems},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {87--98},
     publisher = {mathdoc},
     volume = {10},
     number = {9},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1998_10_9_a6/}
}
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M. N. Mishkov; V. S. Ryaben'kii. Investigation on artificial boundary conditions constructed by periodization and introduction of a~small parameter for subsonic flow problems. Matematičeskoe modelirovanie, Tome 10 (1998) no. 9, pp. 87-98. http://geodesic.mathdoc.fr/item/MM_1998_10_9_a6/