@article{ZVMMF_2003_43_2_a9,
author = {V. G. Zverev},
title = {On a special difference scheme for the solution of boundary value problems of heat and mass transfer},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {265--278},
year = {2003},
volume = {43},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_2_a9/}
}
TY - JOUR AU - V. G. Zverev TI - On a special difference scheme for the solution of boundary value problems of heat and mass transfer JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2003 SP - 265 EP - 278 VL - 43 IS - 2 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_2_a9/ LA - ru ID - ZVMMF_2003_43_2_a9 ER -
%0 Journal Article %A V. G. Zverev %T On a special difference scheme for the solution of boundary value problems of heat and mass transfer %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2003 %P 265-278 %V 43 %N 2 %U http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_2_a9/ %G ru %F ZVMMF_2003_43_2_a9
V. G. Zverev. On a special difference scheme for the solution of boundary value problems of heat and mass transfer. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 2, pp. 265-278. http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_2_a9/
[1] Samarskii A. A., Vabischevich P. N., Chislennye metody resheniya zadach konvektsii-diffuzii, Editorial URSS, M., 1999
[2] Samarskii A. A., Vabischevich P. N., “Chislennoe modelirovanie zadach konvektivnogo teplo- i massoperenosa”, MMF-96, v. 20, ch. 2, ANK “ITMO im. A. V. Lykova ANB”, Minsk, 1996, 3–10
[3] Vabischevich P. N., “Monotonnye raznostnye skhemy dlya zadach konvektsii-diffuzii”, Differents. ur-niya, 30 (1994), 503–513
[4] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1977 | MR | Zbl
[5] Shi D., Chislennye metody v zadachakh teploobmena, Mir, M., 1988
[6] Patankar S., Chislennye metody resheniya zadach teplomassoobmena i dinamiki zhidkosti, Atomizdat, M., 1984
[7] Fletcher K., Vychislitelnye metody v dinamike zhidkostei, v. 1, Mir, M., 1991
[8] A. I. Leontev (red.), Teoriya teplomassoobmena, Izd. 2-e, Izd-vo MGTU, M., 1997
[9] Chetverushkin B. N., Matematicheskoe modelirovanie zadach dinamiki izluchayuschego gaza, Nauka, M., 1985 | Zbl
[10] Charakhchyan A. A., “Ob odnoi chislennoi skheme dlya uravneniya perenosa na opticheski gruboi setke”, Zh. vychisl. matem. i matem. fiz., 15:4 (1975), 999–1005 | MR
[11] Vasileva A. B., Butuzov V. F., Asimptoticheskoe razlozhenie reshenii singulyarno vozmuschennykh uravnenii, Nauka, M., 1973 | MR
[12] Ilin A. M., “Raznostnaya skhema dlya differentsialnogo uravneniya s malym parametrom pri starshei proizvodnoi”, Matem. zametki, 6:2 (1969), 237–248
[13] 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
[14] Dulan E., Miller Dzh., Shilders U., Ravnomernye chislennye metody resheniya zadach s pogranichnym sloem, Mir, M., 1983 | MR
[15] Shishkin G. I., Setochnaya approksimatsiya singulyarno vozmuschennykh ellipticheskikh i parabolicheskikh uravnenii, RAN UO, Ekaterinburg, 1992
[16] Bagaev B. M., Shaidurov V. V., Setochnye metody resheniya zadach s pogranichnym sloem, v. 1, Nauka, SP RAN, Novosibirsk, 1998 | MR | Zbl
[17] Roos H. G., Stynes M., Tobiska L., Numerical methods for singularly perturbed differential equations: convection-diffusion and flow problems, Berlin, 1996 | MR
[18] Boglaev Yu. P., “O chislennykh metodakh resheniya singulyarno vozmuschennykh zadach”, Differents. ur-niya, 21:10 (1985), 1804–1806 | MR | Zbl
[19] Alekseevskii M. V., “Raznostnye skhemy vysokogo poryadka tochnosti dlya singulyarno vozmuschennoi kraevoi zadachi”, Differents. ur-niya, 27:7 (1981), 1171–1183 | MR
[20] Emelyanov K. V., “Usechennaya raznostnaya skhema dlya lineinoi singulyarno vozmuschennoi kraevoi zadachi”, Dokl. AN CCCP, 282:5 (1982), 1052–1055 | MR
[21] Sechin A. Yu., “Chislennyi metod vysokogo poryadka tochnosti dlya singulyarno vozmuschennoi kraevoi zadachi”, Izv. vuzov. Matematika, 1983, no. 7, 75–80 | MR | Zbl
[22] Zadorin A. I., Ignatev V. N., “O chislennom reshenii uravneniya s malym parametrom pri starshei proizvodnoi”, Zh. vychisl. matem. i matem. fiz., 23:3 (1983), 620–628 | MR | Zbl
[23] Liseikin V. D., “O chislennom reshenii singulyarno vozmuschennogo uravneniya s tochkoi povorota”, Zh. vychisl. matem. i matem. fiz., 24:12 (1984), 1812–1826 | MR
[24] Andreev V. B., Savin I. A., “O ravnomernoi po malomu parametru skhodimosti monotonnoi raznostnoi skhemy Samarskogo i ee modifikatsii”, Zh. vychisl. matem. i matem. fiz., 35:5 (1995), 739–752 | MR | Zbl
[25] Allen D. N., Southwell R. V., “Relaxation methods applied to determine the motion, in two dimensions, of a viscous fluid past a fixed cylinder”, Quart. J. Mech. and Appl. Math., 8:2 (1955), 129–145 | DOI | MR | Zbl
[26] Spalding D. B., “A novel finite-difference formulation to differential expressions involving both first and second derivatives”, Internat. J. Numer. Methods Engng., 4 (1972), 55
[27] El-Mistikavi T. M., Verle M. Dzh., “Chislennyi metod rascheta pogranichnykh sloev so vduvom — eksponentsialnaya raznostnaya skhema s rombovidnym shablonom”, Raketnaya tekhn. i kosmonavtika, 16:7 (1978), 138–139
[28] Kalis X. E., “O primenenii nekotorykh monotonnykh raznostnykh skhem dlya resheniya ellipticheskikh uravnenii vtorogo poryadka”, Chisl. metody mekhan. sploshnoi sredy, 16, no. 2, VTs SO AN SSSR, Novosibirsk, 1985, 65–80 | MR
[29] Buleev N. I., Prostranstvennaya model turbulentnogo obmena, Nauka, M., 1989 | MR | Zbl
[30] Belousov V. L., Golovachev Yu. P., Zemlyakov V. V., “Neyavnaya eksponentsialnaya raznostnaya skhema rascheta sverkhzvukovogo obtekaniya tel vyazkim gazom”, Matem. modelirovanie, 6:10 (1994), 66–76 | MR | Zbl
[31] Guschin V. A., Schennikov V. V., “Ob odnoi monotonnoi raznostnoi skheme vtorogo poryadka tochnosti”, Zh. vychisl. matem. i matem. fiz., 14:3 (1974), 789–792
[32] Bronshtein I. N., Semendyaev K. A., Spravochnik po matematike, Nauka, M., 1981
[33] Boglaev I. P., “Chislennoe reshenie odnoi kraevoi zadachi s malym parametrom pri starshei proizvodnoi na neravnomernoi setke”, Chisl. metody mekhan. sploshnoi sredy, 15, no. 5, VTs SO AN SSSR, Novosibirsk, 1984, 48–58 | MR
[34] Shishkin G. I., “Raznostnaya skhema dlya singulyarno vozmuschennogo differentsialnogo uravneniya”, Chisl. metody mekhan. sploshnoi sredy, 13, no. 1, VTs SO AN SSSR, Novosibirsk, 1982, 147–164 | MR
[35] Raithby G. D., Torrance K. E., “Upstream-weighted differencing schemes and their application to elliptic problems involving fluid flow”, Comput. Fluids, 2 (1974), 191 | DOI | MR | Zbl
[36] Ilin V. P., “O splainovykh resheniyakh obyknovennykh differentsialnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 18:3 (1978), 620–627 | MR
[37] Grishin A. M., Bertsun V. N., Zinchenko V. I., Iteratsionno-interpolyatsionnyi metod i ego prilozheniya, Izd-vo Tomsk. un-ta, Tomsk, 1981 | MR | Zbl
[38] Dulnev G. N., Parfenov V. G., Sigalov A. V., Primenenie EVM dlya resheniya zadach teploobmena, Vyssh. shkola, M., 1990