Geodesic
Mesh approximation of singularly perturbed equations with convective terms for the perturbation of data
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 41 (2001) no. 5, pp. 692-707 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2001_41_5_a2,
     author = {G. I. Shishkin},
     title = {Mesh approximation of singularly perturbed equations with convective terms for the perturbation of data},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {692--707},
     year = {2001},
     volume = {41},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_5_a2/}
}
TY  - JOUR
AU  - G. I. Shishkin
TI  - Mesh approximation of singularly perturbed equations with convective terms for the perturbation of data
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2001
SP  - 692
EP  - 707
VL  - 41
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_5_a2/
LA  - ru
ID  - ZVMMF_2001_41_5_a2
ER  - 
%0 Journal Article
%A G. I. Shishkin
%T Mesh approximation of singularly perturbed equations with convective terms for the perturbation of data
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2001
%P 692-707
%V 41
%N 5
%U http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_5_a2/
%G ru
%F ZVMMF_2001_41_5_a2
G. I. Shishkin. Mesh approximation of singularly perturbed equations with convective terms for the perturbation of data. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 41 (2001) no. 5, pp. 692-707. http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_5_a2/

[1] Bakhvalov N. S., “K optimizatsii metodov resheniya kraevykh zadach pri nalichii pogranichnogo sloya”, Zh. vychisl. matem. i matem. fiz., 9:4 (1969), 841–959

[2] Ilin A. M., “Raznostnaya skhema dlya differentsialnogo uravneniya s malym parametrom pri starshei proizvodnoi”, Matem. zametki, 6:2 (1969), 237–248

[3] Dulan E., Miller Dzh., Shilders U., Ravnomernye chislennye metody resheniya zadach s pogranichnym sloem, Mir, M., 1983 | MR

[4] Shishkin G. I., Setochnye approksimatsii singulyarno vozmuschennykh ellipticheskikh i parabolicheskikh uravnenii, UrO RAN, Ekaterinburg, 1992

[5] Roos H.-G., Stynes M., Tobiska L., Numerical methods for singularly perturbed differential equations. Convection-diffusion and flow problems, Springer, Berlin, 1996 | MR

[6] Miller J. J. H., O'Riordan E., Shishkin G. I., Fitted numerical methods for singularly perturbation problems, World Scientific, Singapore, 1996 | MR

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

[8] Roos H.-G., “A note on the conditioning of upwind shemes on Shishkin meshes”, IMA J. Numer. Analys., 16:4 (1996), 529–538 | DOI | MR | Zbl

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