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@article{IVM_2006_2_a7, author = {G. I. Shishkin}, title = {Richardson's method for increasing the accuracy of difference solutions of singularly perturbed elliptic convection-diffusion equations}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {57--71}, publisher = {mathdoc}, number = {2}, year = {2006}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_2006_2_a7/} }
TY - JOUR AU - G. I. Shishkin TI - Richardson's method for increasing the accuracy of difference solutions of singularly perturbed elliptic convection-diffusion equations JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2006 SP - 57 EP - 71 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2006_2_a7/ LA - ru ID - IVM_2006_2_a7 ER -
%0 Journal Article %A G. I. Shishkin %T Richardson's method for increasing the accuracy of difference solutions of singularly perturbed elliptic convection-diffusion equations %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 2006 %P 57-71 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/IVM_2006_2_a7/ %G ru %F IVM_2006_2_a7
G. I. Shishkin. Richardson's method for increasing the accuracy of difference solutions of singularly perturbed elliptic convection-diffusion equations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2006), pp. 57-71. http://geodesic.mathdoc.fr/item/IVM_2006_2_a7/
[1] Marchuk G. I., Metody vychislitelnoi matematiki, Nauka, M., 1989, 608 pp. | MR
[2] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1989, 616 pp. | MR
[3] Bakhvalov N. S., “K optimizatsii metodov resheniya kraevykh zadach pri nalichii pogranichnogo sloya”, Zhurn. vychisl. matem. i matem. fiz., 9:4 (1969), 841–859 | Zbl
[4] Ilin A. M., “Raznostnaya skhema dlya differentsialnogo uravneniya s malym parametrom pri starshei proizvodnoi”, Matem. zametki, 6:2 (1969), 237–248
[5] Dulan E., Miller Dzh., Shilders U., Ravnomernye chislennye metody resheniya zadach s pogranichnym sloem, Mir, M., 1983, 199 pp. | MR
[6] Shishkin G. I., Setochnye approksimatsii singulyarno vozmuschennykh ellipticheskikh i parabolicheskikh uravnenii, UrO RAN, Ekaterinburg, 1992, 233 pp.
[7] Miller J. J. H., O'Riordan E., Shishkin G. I., Fitted numerical methods for singular perturbation problems, World Sci., Singapore, 1996, 166 pp. | MR
[8] Roos H.-G., Stynes M., Tobiska L., Numerical methods for singularly perturbed differential equations. Convection-diffusion and flow problems, Springer-Verlag, Berlin, 1996, 348 pp. | MR
[9] Bagaev B. M., Shaidurov V. V., Setochnye metody resheniya zadach s pogranichnym sloem, Ch. 1, Nauka, Novosibirsk, 1998, 199 pp. | MR | Zbl
[10] Farrell P. A., Hegarty A. F., Miller J. J. H., O'Riordan E., Shishkin G. I., Robust computational techniques for boundary layers, CRC Press, Boca Raton, 2000, 254 pp. | MR | Zbl
[11] Marchuk G. I., Shaidurov V. V., Povyshenie tochnosti reshenii raznostnykh skhem, Nauka, M., 1979, 319 pp. | MR
[12] Böhmer K., Stetter H. (Eds.), Defect correction methods. Theory and applications, Comput. Suppl., 5, Springer-Verlag, Vienna, 1984, 243 pp. | MR | Zbl
[13] Hemker P. W., Shishkin G. I., Shishkina L. P., “High-order time-accurate schemes for parabolic singular perturbation problems with convection”, Russian J. Numer. Anal. Math. Modelling, 17:1 (2002), 1–24 | MR
[14] Shishkin G. I., “Povyshenie tochnosti priblizhennykh reshenii korrektsiei nevyazki dlya singulyarno vozmuschennykh uravnenii s konvektivnymi chlenami”, Izv. vuzov. Matematika, 1999, no. 5, 81–93 | MR | Zbl
[15] Shishkin G. I., “Povyshenie tochnosti reshenii raznostnykh skhem dlya parabolicheskikh uravnenii s malym parametrom pri starshikh proizvodnykh”, Zhurn. vychisl. matem. i matem. fiz., 24:6 (1984), 864–875 | MR | Zbl
[16] Shishkin G. I., “Setochnye approksimatsii dlya singulyarno vozmuschennykh ellipticheskikh uravnenii”, Zhurn. vychisl. matem. i matem. fiz., 38:12 (1998), 1989–2001 | MR | Zbl
[17] Shishkin G. I., “Raznostnaya skhema dlya singulyarno vozmuschennogo parabolicheskogo uravneniya s razryvnym granichnym usloviem”, Zhurn. vychisl. matem. i matem. fiz., 28:11 (1988), 1679–1692 | MR
[18] Ladyzhenskaya O. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, Nauka, M., 1973, 576 pp. | MR