@article{ZVMMF_2000_40_5_a5,
author = {G. I. Shishkin},
title = {Grid approximation of singularly perturbed boundary value problems on locally condensing grids: {Convection-diffusion} equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {714--725},
year = {2000},
volume = {40},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_5_a5/}
}
TY - JOUR AU - G. I. Shishkin TI - Grid approximation of singularly perturbed boundary value problems on locally condensing grids: Convection-diffusion equations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2000 SP - 714 EP - 725 VL - 40 IS - 5 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_5_a5/ LA - ru ID - ZVMMF_2000_40_5_a5 ER -
%0 Journal Article %A G. I. Shishkin %T Grid approximation of singularly perturbed boundary value problems on locally condensing grids: Convection-diffusion equations %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2000 %P 714-725 %V 40 %N 5 %U http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_5_a5/ %G ru %F ZVMMF_2000_40_5_a5
G. I. Shishkin. Grid approximation of singularly perturbed boundary value problems on locally condensing grids: Convection-diffusion equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 5, pp. 714-725. http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_5_a5/
[1] Marchuk G. I., Shaidurov V. V., Povyshenie tochnosti reshenii raznostnykh skhem, Nauka, M., 1979 | MR
[2] Marchuk G. I., Metody vychislitelnoi matematiki, Nauka, M., 1989 | MR
[3] Birkhoff G., Lynch R. E., Numerical solution of elliptic problems, SIAM, Philadelphia, 1984 | MR
[4] Shishkin G. I., “Setochnaya approksimatsiya singulyarno vozmuschennykh kraevykh zadach na lokalno pereizmelchaemykh setkakh. Uravneniya reaktsii-diffuzii”, Matem. modelirovanie, 11:12 (1999), 87–104 | MR | Zbl
[5] Bakhvalov N. S., “K optimizatsii metodov resheniya kraevykh zadach pri nalichii pogranichnogo sloya”, Zh. vychisl. matem. i matem. fiz., 9:4 (1969), 841–859 | Zbl
[6] Shishkin G. I., Setochnaya approksimatsiya singulyarno vozmuschennykh ellipticheskikh i parabolicheskikh uravnenii, UrO RAN, Ekaterinburg, 1992
[7] Miller J. J. H., O'Riordan E., Shishkin G. I., Fitted numerial methods for singular perturbation problems, World Scientific, Singapore, 1996 | MR
[8] Ilin A. M., “Raznostnaya skhema dlya differentsialnogo uravneniya s malym parametrom pri starshei proizvodnoi”, Matem. zametki, 6:2 (1969), 237–248
[9] Dulan E., Miller Dzh., Shilders U., Ravnomernye chislennye metody resheniya zadach s pogranichnym sloem, Mir, M., 1983 | MR
[10] Roos H.-G., Stynes M., Tobiska L., Numerical methods for singularly perturbed differential equations: Convectiondiffusion and flow problems, Springer, Berlin, 1996 | MR
[11] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1989 | MR
[12] Shishkin G. I., “Grid approzimation of singularly perturbed boundary value problem for the quasi-linear elliptic equation degenerating into the first-order equation”, Soviet J. Numer. Analys. Math. Modelling, 6:1 (1991), 61–81 | DOI | MR | Zbl
[13] Shishkin G. I., “Raznostnaya approksimatsiya singulyarno vozmuschennoi kraevoi zadachi dlya kvazilineinykh ellipticheskikh uravnenii, vyrozhdayuschikhsya v uravnenie pervogo poryadka”, Zh. vychisl. matem. i matem. fiz., 32:4 (1992), 550–566 | MR | Zbl