@article{ZVMMF_1998_38_8_a3,
author = {V. B. Andreev},
title = {Convergence of a modified {Samarskij's} monotonic scheme on a smoothly condensing grid},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1266--1278},
year = {1998},
volume = {38},
number = {8},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_8_a3/}
}
TY - JOUR AU - V. B. Andreev TI - Convergence of a modified Samarskij's monotonic scheme on a smoothly condensing grid JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1998 SP - 1266 EP - 1278 VL - 38 IS - 8 UR - http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_8_a3/ LA - ru ID - ZVMMF_1998_38_8_a3 ER -
V. B. Andreev. Convergence of a modified Samarskij's monotonic scheme on a smoothly condensing grid. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 8, pp. 1266-1278. http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_8_a3/
[1] Vasileva A. B., Butuzov V. F., Asimptoticheskie razlozheniya reshenii singulyarno vozmuschennykh uravnenii, Nauka, M., 1973
[2] 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
[3] Dulan E., Miller Dzh., Shilders U., Ravnomernye chislennye metody resheniya zadach s pogranichnym sloem, Mir, M., 1983
[4] Shishkin G. I., Setochnye approksimatsii singulyarno vozmuschennykh ellipticheskikh i parabolicheskikh uravnenii, UO RAN, Ekaterinburg, 1992
[5] Liseikin V. D., Yanenko N. N., “O ravnomerno skhodyaschemsya algoritme chislennogo resheniya obyknovennogo differentsialnogo uravneniya vtorogo poryadka s malym parametrom pri starshei proizvodnoi”, Chisl. metody mekhan. sploshnoi sredy, 12, no. 2, ITPM SO AN SSSR, Novosibirsk, 1981, 45–56 | MR
[6] Blatov I. A., “O proektsionnom metode dlya singulyarno vozmuschennykh kraevykh zadach”, Zh. vychisl. matem. i matem. fiz., 30:7 (1990), 1031–1044 | MR
[7] Andreev V. B., Savin I. A., “O ravnomernoi po malomu parametru skhodimosti monotonnoi skhemy A. A. Samarskogo i ee modifikatsii”, Zh. vychisl. matem. i matem. fiz., 35:5 (1995), 739–752 | MR | Zbl
[8] Andreev V. B., Kopteva N. V., “Ob issledovanii raznostnykh skhem s approksimatsiei pervoi proizvodnoi tsentralnym raznostnym otnosheniem”, Zh. vychisl. matem. i matem. fiz., 36:8 (1996), 101–117 | MR | Zbl
[9] Kopteva N. V., “O ravnomernoi po malomu parametru skhodimosti odnoi chetyrekhtochechnoi skhemy dlya odnomernogo statsionarnogo uravneniya konvektsii-diffuzii”, Differents. ur-niya, 32:7 (1996), 951–957 | MR | Zbl
[10] Andreev V. B., Savin I. A., “K vychisleniyu granichnogo potoka s ravnomernoi po malomu parametru tochnostyu”, Zh. vychisl. matem. i matem. fiz., 36:12 (1996), 57–63 | MR | Zbl
[11] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, ryadov, summ i proizvedenii, Nauka, M., 1971