@article{ZVMMF_1996_36_3_a8,
author = {G. I. Shishkin},
title = {Grid approximation of parabolic equations with singular initial conditions},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {73--92},
year = {1996},
volume = {36},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_3_a8/}
}
TY - JOUR AU - G. I. Shishkin TI - Grid approximation of parabolic equations with singular initial conditions JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1996 SP - 73 EP - 92 VL - 36 IS - 3 UR - http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_3_a8/ LA - ru ID - ZVMMF_1996_36_3_a8 ER -
G. I. Shishkin. Grid approximation of parabolic equations with singular initial conditions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 3, pp. 73-92. http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_3_a8/
[1] 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
[2] Dulan E., Miller Dzh., Shilders U., Ravnomernye chislennye metody resheniya zadach s pogranichnym sloem, Mir, M., 1983 | MR
[3] Ilin A. M., “Raznostnaya skhema dlya differentsialnogo uravneniya s malym parametrom pri starshei proizvodnoi”, Matem. zametki, 6:2 (1969), 237–248
[4] Andreev V. B., “Setochnye approksimatsii negladkikh reshenii differentsialnykh uravnenii”, Differents. ur-niya, 26:7 (1980), 1172–1184 | MR
[5] Hemker P. W., Shishkin G. I., “Discrete approximation of singularly perturbed parabolic PDEs with a discontinuous initial condition”, Proc. 6th BAIL Conf., Front Range Press, Copper Mountain, Colorado, 1992, 3–4
[6] 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
[7] Shishkin G. I., “Raznostnaya skhema dlya singulyarno vozmuschennogo uravneniya parabolicheskogo tipa s razryvnym nachalnym usloviem”, Dokl. AN SSSR, 300:5 (1988), 1066–1070 | Zbl
[8] Shishkin G. I., “Grid approximation of singularly parturbed boundary value problem for quasi-linear parabolic equations in case of complete degeneracy in spatial variables”, Sov. J. Numer. Analys. and Math. Modelling, 6:3 (1991), 243–261 | DOI | MR | Zbl
[9] Ladyzhenskaya O. A., Solonnikov V. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967
[10] Tikhonov A. N., Samarskii A. A., Uravneniya matematicheskoi fiziki, Nauka, M., 1966 | MR | Zbl
[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., “Povyshenie tochnosti reshenii raznostnykh skhem dlya parabolicheskikh uravnenii s malym parametrom pri starshei proizvodnoi”, Zh. vychisl. matem. i matem. fiz., 24:6 (1984), 864–875 | MR | Zbl
[14] Shishkin G. I., Setochnye approksimatsii singulyarno vozmuschennykh ellipticheskikh i parabolicheskikh uravnenii, UrO RAN, Ekaterinburg, 1992
[15] 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
[16] Fridman A., Uravneniya s chastnymi proizvodnymi parabolicheskogo tipa, Mir, M., 1968
[17] Shishkin G. I., “Grid approximation of singularly parturbed boundary value problems with sharply changing density of sources”, Rus. J. Numer. Analys. and Math. Modelling, 7:2 (1992), 145–167 | DOI | MR | Zbl
[18] 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
[19] Samarskii A. A., Nikolaev E. S., Metody resheniya setochnykh uravnenii, Nauka, M., 1978 | MR