Grid approximation of the solution to the Blasius equation and of its derivatives
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 41 (2001) no. 1, pp. 39-56 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2001_41_1_a4,
     author = {G. I. Shishkin},
     title = {Grid approximation of the solution to the {Blasius} equation and of its derivatives},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {39--56},
     year = {2001},
     volume = {41},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_1_a4/}
}
TY  - JOUR
AU  - G. I. Shishkin
TI  - Grid approximation of the solution to the Blasius equation and of its derivatives
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2001
SP  - 39
EP  - 56
VL  - 41
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_1_a4/
LA  - ru
ID  - ZVMMF_2001_41_1_a4
ER  - 
%0 Journal Article
%A G. I. Shishkin
%T Grid approximation of the solution to the Blasius equation and of its derivatives
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2001
%P 39-56
%V 41
%N 1
%U http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_1_a4/
%G ru
%F ZVMMF_2001_41_1_a4
G. I. Shishkin. Grid approximation of the solution to the Blasius equation and of its derivatives. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 41 (2001) no. 1, pp. 39-56. http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_1_a4/

[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 Scientific, Singapore, 1996 | MR

[3] Roos H.-G., Stynes M., Tobiska L., Numerical methods for singularly perturbed differential equations, Springer, Heidelberg, 1996 | MR

[4] Oleinik O. A., Samokhin B. H., Matematicheskie metody v teorii pogranichnogo sloya, Nauka, Fizmatgiz, M., 1997 | MR

[5] Shlikhting G., Teoriya pogranichnogo sloya, Nauka, Fizmatgiz, M., 1969

[6] L. Rosenhead (ed.), Laminar boundary layers, Clarendon Press, Oxford, 1963 | MR | Zbl

[7] Khartman F., Obyknovennye differentsialnye uravneniya, Mir, M., 1970 | MR

[8] Hartman P., “On the existence of similar solutions of some boundary layer problems”, SIAM J. Math. Analys., 3:1 (1972), 120–147 | DOI | MR | Zbl

[9] Schlichting H., Gersten K., Boundary-layer theory, Springer, Berlin, 2000 | MR | Zbl

[10] Dorodnitsyn A. A., Izbrannye nauchnye trudy, v. 2, VTs RAN, M., 1997

[11] Ilin A. M., Kalashnikov A. S., Oleinik O. A., “Lineinye uravneniya vtorogo poryadka parabolicheskogo tipa”, Uspekhi matem. nauk, 17:3 (1962), 3–146 | MR

[12] Ladyzhenskaya O. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, Nauka, M., 1973 | MR

[13] Fridman A., Uravneniya s chastnymi proizvodnymi parabolicheskogo tipa, Mir, M., 1968

[14] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1989 | MR

[15] Chang K., Khaues F., Nelineinye singulyarno vozmuschennye kraevye zadachi. Teoriya i prilozheniya, Mir, M., 1988 | MR

[16] Farrell P. A., Hegarty A. F., Miller J. J. H. et al., Robust computational techniques for boundary layers, Chapman Hall/CRC Press, Boca Raton, 2000 | MR | Zbl

[17] Marchuk G. I., Shaidurov V. V., Povyshenie tochnosti reshenii raznostnykh skhem, Nauka, M., 1979 | MR