Stability of locally implicit difference schemes for the two-dimensional heat equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 4, pp. 50-61 Cet article a éte moissonné depuis la source Math-Net.Ru

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     title = {Stability of locally implicit difference schemes for the two-dimensional heat equation},
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S. L. Degtyarev. Stability of locally implicit difference schemes for the two-dimensional heat equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 4, pp. 50-61. http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_4_a6/

[1] Samarskii A. A., “Neobkhodimye i dostatochnye usloviya ustoichivosti dvukhsloinykh raznostnykh skhem”, Dokl. AN SSSR, 181:4 (1968), 808–811 | MR

[2] Gulin A. V., Samarskii A. A., “O nekotorykh rezultatakh i problemakh teorii ustoichivosti raznostnykh skhem”, Matem. sb., 99(141):3 (1976), 299–330 | MR | Zbl

[3] Samarskii A. A., Gulin A. V., “Kriterii ustoichivosti semeistva raznostnykh skhem”, Dokl. AN SSSR, 330:6 (1993), 694–695 | MR

[4] Gulin A. V., Samarskii A. A., “Ob ustoichivosti odnogo klassa raznostnykh skhem”, Differents. ur-niya, 29:7 (1993), 1163–1173 | MR | Zbl

[5] Gulin A. V., Degtyarev S. L., “Ob ustoichivosti raznostnykh skhem s peremennymi vesovymi mnozhitelyami”, Vestn. MGU. Vychisl. matem. i kibernetika, 3 (1994), 23–29 | MR | Zbl

[6] Gulin A. V., Gulin V. A., Granitsy ustoichivosti raznostnykh skhem s peremennymi vesovymi mnozhitelyami, Preprint No 4, In-t matem. modelirovaniya RAN, M., 1994

[7] Degtyarev S. L., “Ob ustoichivosti raznostnykh skhem s peremennymi vesami dlya odnomernogo uravneniya teploprovodnosti”, Zh. vychisl. matem. i matem. fiz., 34:8–9 (1994), 1316–1322 | MR | Zbl

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

[9] Korshiya T. K., Tishkin V. F., Samarskii A. A. i dr., Variatsionno-operatornye raznostnye skhemy dlya uravnenii matematicheskoi fiziki, Izd-vo Tbilissk. un-ta, Tbilisi, 1983 | MR | Zbl

[10] Samarskii A. A., Gulin A. V., Ustoichivost raznostnykh skhem, Nauka, M., 1973 | Zbl

[11] Kalitkin H. H., Chislennye metody, Nauka, M., 1978 | MR