Geodesic
A study of difference schemes with the first derivative approximated by a central difference ratio
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 8, pp. 101-117 Cet article a éte moissonné depuis la source Math-Net.Ru

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V. B. Andreev; N. V. Kopteva. A study of difference schemes with the first derivative approximated by a central difference ratio. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 8, pp. 101-117. http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_8_a10/

[1] Vasileva A. B., Butuzov V. F., Asimptoticheskie razlozheniya reshenii singulyarno vozmuschennykh uravnenii, Nauka, M., 1973 | MR

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

[3] Andreev V. B., Savin I. A., “O ravnomernoi po malomu parametru skhodimosti monotonnoi skhemy Samarskogo i ee modifikatsii”, Zh. vychisl. matem. i matem. fiz., 35:5 (1995), 739–752 | MR | Zbl

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

[5] 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

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

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

[8] Kellog R. B., Tsan A., “Analysis of some difference approximations for a singular perturbation problem without turning points”, Math. Comput., 32:144 (1978), 1025–1039 | DOI | MR | Zbl