@article{ZVMMF_2003_43_12_a3,
author = {G. I. Shishkin},
title = {The grid approximation of a singularly perturbed parabolic equation on a composed domain with a moving boundary containing a concentrated source},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1806--1824},
year = {2003},
volume = {43},
number = {12},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_12_a3/}
}
TY - JOUR AU - G. I. Shishkin TI - The grid approximation of a singularly perturbed parabolic equation on a composed domain with a moving boundary containing a concentrated source JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2003 SP - 1806 EP - 1824 VL - 43 IS - 12 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_12_a3/ LA - ru ID - ZVMMF_2003_43_12_a3 ER -
%0 Journal Article %A G. I. Shishkin %T The grid approximation of a singularly perturbed parabolic equation on a composed domain with a moving boundary containing a concentrated source %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2003 %P 1806-1824 %V 43 %N 12 %U http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_12_a3/ %G ru %F ZVMMF_2003_43_12_a3
G. I. Shishkin. The grid approximation of a singularly perturbed parabolic equation on a composed domain with a moving boundary containing a concentrated source. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 12, pp. 1806-1824. http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_12_a3/
[1] Shishkin G. I., Setochnye approksimatsii singulyarno vozmuschennykh ellipticheskikh i parabolicheskikh uravnenii, UrO RAN, Ekaterinburg, 1992
[2] Miller J. J. H., O'Riordan E., Shishkin G. I., Fitted numerical methods for singular perturbation problems, World Scient., Singapore, 1996 | MR
[3] Roos H.-G., Stynes M., Tobiska L., Numerical methods for singularly perturbed differential equations: convection-diffusion and flow problems, Springer, Berlin, 1996 | MR
[4] Farrell P. A., Hegarty A. F., Miller J. J. H. et al., Robust computational techniques for boundary layers, Chapman and Hall, Boca Raton; CRC, 2000 | MR | Zbl
[5] Shishkin G. I., “Setochnaya approksimatsiya singulyarno vozmuschennogo parabolicheskogo uravneniya reaktsii-diffuzii s dvizhuschimsya sosredotochennym istochnikom”, Matem. modelirovanie, 15:2 (2003), 43–61 | MR | Zbl
[6] Shishkin G. I., Vabishchevich P. N., “Interpolation finite difference schemes on grids locally refined in time”, Comput. Meth. Appl. Mech. and Engng., 190:8–10 (2000), 889–901 | DOI | MR | Zbl
[7] Marchuk G. I., Shaidurov V. V., Povyshenie tochnosti reshenii raznostnykh skhem, Nauka, M., 1979 | MR
[8] Birkhoff G., Lynch R. E., Numerical solution of elliptic problems, SIAM, Philadelphia, 1984 | MR
[9] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1989 | MR
[10] Ladyzhenskaya O. A., Solonnikov V. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967
[11] Marchuk G. I., Metody vychislitelnoi matematiki, Nauka, M., 1989 | MR
[12] Bakhvalov N. S., Chislennye metody, Nauka, M., 1973 | MR | Zbl
[13] Babenko K. I., Osnovy chislennogo analiza, Nauka, M., 1986 | MR
[14] Shishkin G. I., “O metode adaptiruyuschikhsya setok dlya singulyarno vozmuschennogo parabolicheskogo uravneniya v sluchae sosredotochennogo dvizhuschegosya istochnika”, Dokl. RAN, 386:1 (2002), 25–29 | MR | Zbl