@article{ZVMMF_1997_37_4_a4,
author = {G. I. Shishkin},
title = {Singularly perturbed boundary value problems with concentrated sources and discontinuous initial conditions},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {429--446},
year = {1997},
volume = {37},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_4_a4/}
}
TY - JOUR AU - G. I. Shishkin TI - Singularly perturbed boundary value problems with concentrated sources and discontinuous initial conditions JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1997 SP - 429 EP - 446 VL - 37 IS - 4 UR - http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_4_a4/ LA - ru ID - ZVMMF_1997_37_4_a4 ER -
%0 Journal Article %A G. I. Shishkin %T Singularly perturbed boundary value problems with concentrated sources and discontinuous initial conditions %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1997 %P 429-446 %V 37 %N 4 %U http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_4_a4/ %G ru %F ZVMMF_1997_37_4_a4
G. I. Shishkin. Singularly perturbed boundary value problems with concentrated sources and discontinuous initial conditions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 37 (1997) no. 4, pp. 429-446. http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_4_a4/
[1] Ilin A. M., “Raznostnaya skhema dlya differentsialnogo uravneniyakh malym parametrom pri starshei proizvodnoi”, Matem. zametki, 6:2 (1969), 237–248
[2] Dulan 3., Miller Dzh., Shilders U., Ravnomernye chislennye metody resheniya zadach s pogranichnym sloem, Mir, M., 1983 | MR
[3] Shishkin G. I., Setochnye approksimatsii singulyarno vozmuschennykh ellipticheskikh i parabolicheskikh uravnenii, UrO RAN, Ekaterinburg, 1992
[4] 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
[5] Shishkin G. I., “Raznostnaya skhema dlya singulyarno vozmuschennogo uravneniya parabolicheskogo tipa s razryvnym granichnym usloviem”, Zh. vychisl. matem. i matem. fiz., 28:11 (1988), 1649–1662 | MR
[6] Shishkin G. I., “Raznostnaya skhema dlya singulyarno vozmuschennogo uravneniya parabolicheskogo tipa s razryvnym nachalnym usloviem”, Dokl. AN SSSR, 300:5 (1988), 1066–1070 | Zbl
[7] 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
[8] Marchuk G. I., Shaidurov V. V., Povyshenie tochnosti reshenii raznostnykh skhem, Nauka, M., 1979 | MR
[9] Hemker P. W., Shishkin G. I., “Discrete approximation of singularly perturbed parabolic PDEs with a discontinuous initial condition”, Comput. Fluid Dynamics J., 2:4 (1994), 375–392
[10] Ladyzhenskaya O. A., Solonnikov B. A., Uraltseva H. H., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967
[11] Budak B. M., Samarskii A. A., Tikhonov A. N., Sbornik zadach po matematicheskoi fizike, Nauka, M., 1980 | MR | Zbl
[12] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1989 | MR
[13] Shishkin G. I., “Setochnaya approksimatsiya singulyarno vozmuschennoi kraevoi zadachi dlya kvazilineinogo ellipticheskogo uravneniya v sluchae polnogo vyrozhdeniya”, Zh. vychisl. matem. i matem. fiz., 31:12 (1991), 1808–1825 | MR | Zbl
[14] Shishkin G. I., “Grid approximation of singularly perturbed boundary value problem for quasilinear parabolic equations in case of complete degeneracy in spatial variables”, Sovjet. J. Numer. Analys. and Math. Modelling, 6:3 (1991), 243–261 | DOI | MR | Zbl
[15] Fridman A., Uravneniya s chastnymi proizvodnymi parabolicheskogo tipa, Mir, M., 1968
[16] Samarskii A. A., Nikolaev E. S., Metody resheniya setochnykh uravnenii, Nauka, M., 1978 | MR