@article{ZVMMF_2002_42_6_a6,
author = {G. I. Shishkin},
title = {Grid approximation of a singularly perturbed parabolic reaction-diffusion equation with a fast-moving source},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {823--836},
year = {2002},
volume = {42},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_6_a6/}
}
TY - JOUR AU - G. I. Shishkin TI - Grid approximation of a singularly perturbed parabolic reaction-diffusion equation with a fast-moving source JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2002 SP - 823 EP - 836 VL - 42 IS - 6 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_6_a6/ LA - ru ID - ZVMMF_2002_42_6_a6 ER -
%0 Journal Article %A G. I. Shishkin %T Grid approximation of a singularly perturbed parabolic reaction-diffusion equation with a fast-moving source %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2002 %P 823-836 %V 42 %N 6 %U http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_6_a6/ %G ru %F ZVMMF_2002_42_6_a6
G. I. Shishkin. Grid approximation of a singularly perturbed parabolic reaction-diffusion equation with a fast-moving source. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 6, pp. 823-836. http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_6_a6/
[1] Dulan E., Miller Dzh., Shilders U., Ravnomernye chislennye metody resheniya zadach s pogranichnym sloem, Mir, M., 1983 | MR
[2] Shishkin G. I., Setochnye approksimatsii singulyarno vozmuschennykh ellipticheskikh i parabolicheskikh uravnenii, UrO RAN, Ekaterinburg, 1992
[3] Miller J. J. H., O'Riordan E., Shishkin G. I., Fitted numerical methods for singular perturbation problems, World Scient., Singapore, 1996 | MR
[4] Roos H.-G., Stynes M., Tobiska L., Numerical methods for singularly perturbed differential equations: Convectiondiffusion and flow problems, Springer, Berlin, 1996 | MR
[5] Farrell P. A., Hegarty A. F., Miller J. J. H., O'Riozdan E., Shishkin G. I., Robust computational techniques for boundary layers, Chapman and Hall/CRC Press, Boca Raton, 2000 | MR | Zbl
[6] Shishkin G. I., “Approksimatsiya reshenii singulyarno vozmuschennykh kraevykh zadach s parabolicheskim pogranichnym sloem”, Zh. vychisl. matem. i matem. fiz., 29:7 (1989), 963–977 | MR
[7] Shishkin G. I., “Setochnaya approksimatsiya parabolicheskikh uravnenii s singulyarnymi nachalnymi usloviyami”, Zh. vychisl. matem. i matem. fiz., 36:3 (1996), 73–92 | MR | Zbl
[8] Shishkin G. I., “Setochnaya approksimatsiya singulyarno vozmuschennykh kraevykh zadach na lokalno pereizmelchaemykh setkakh. Uravneniya konvektsii-diffuzii”, Zh. vychisl. matem. i matem. fiz., 40:5 (2000), 714–725 | MR | Zbl
[9] Shishkin G. I., “Approksimatsiya singulyarno vozmuschennykh uravnenii reaktsii-diffuzii na adaptivnykh setkakh”, Matem. modelirovanie, 13:3 (2001), 103–118 | MR | Zbl
[10] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1989 | MR
[11] Ladyzhenskaya O. A., Solonnikov V. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967