Application of exact difference schemes to the construction and study of difference schemes for generalized solutions
Sbornik. Mathematics, Tome 45 (1983) no. 4, pp. 461-471 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

This paper discusses the application of exact difference schemes to the construction and study of difference schemes for generalized solutions. Bibliography: 15 titles.
@article{SM_1983_45_4_a3,
     author = {R. D. Lazarov and V. L. Makarov and A. A. Samarskii},
     title = {Application of exact difference schemes to the construction and study of difference schemes for generalized solutions},
     journal = {Sbornik. Mathematics},
     pages = {461--471},
     year = {1983},
     volume = {45},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1983_45_4_a3/}
}
TY  - JOUR
AU  - R. D. Lazarov
AU  - V. L. Makarov
AU  - A. A. Samarskii
TI  - Application of exact difference schemes to the construction and study of difference schemes for generalized solutions
JO  - Sbornik. Mathematics
PY  - 1983
SP  - 461
EP  - 471
VL  - 45
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/SM_1983_45_4_a3/
LA  - en
ID  - SM_1983_45_4_a3
ER  - 
%0 Journal Article
%A R. D. Lazarov
%A V. L. Makarov
%A A. A. Samarskii
%T Application of exact difference schemes to the construction and study of difference schemes for generalized solutions
%J Sbornik. Mathematics
%D 1983
%P 461-471
%V 45
%N 4
%U http://geodesic.mathdoc.fr/item/SM_1983_45_4_a3/
%G en
%F SM_1983_45_4_a3
R. D. Lazarov; V. L. Makarov; A. A. Samarskii. Application of exact difference schemes to the construction and study of difference schemes for generalized solutions. Sbornik. Mathematics, Tome 45 (1983) no. 4, pp. 461-471. http://geodesic.mathdoc.fr/item/SM_1983_45_4_a3/

[1] Tikhonov A. N., Samarskii A. A., “Ob odnorodnykh raznostnykh skhemakh vysokogo poryadka tochnosti”, DAN SSSR, 131:3 (1960), 514–517 | Zbl

[2] Samarskii A. A., Vvedenie v teoriyu raznostnykh skhem, Nauka, M., 1971 | MR | Zbl

[3] Oganesyan L. A., Rukhovets L. A., Variatsionno-raznostnye metody resheniya ellipticheskikh uravnenii, AN Arm. SSR, Erevan, 1979 | MR

[4] Streng G., Fiks Dzh., Teoriya metoda konechnykh elementov, Mir, M., 1977 | MR

[5] Makarov V. L., Samarskii A. A., “Primenenie tochnykh raznostnykh skhem k otsenke skorosti skhodimosti metoda pryamykh”, ZhVM i MF, 20:2 (1980), 371–387 | MR | Zbl

[6] Weinelt W., “Untersuchungen zur Konvergenzgeschwindigkeit bei Differenzenverfahren”, Wiss. Z. d. Tech. Hochsch. Karl-Marx-Stadt, 20:6 (1978), 763–769 | MR | Zbl

[7] Lazarov R. D., “O skhodimosti raznostnykh skhem dlya nekotorykh osesimmetrichnykh zadach matematicheskoi fiziki v klassakh obobschennykh reshenii”, DAN SSSR, 258:6 (1981), 1301–1304 | MR | Zbl

[8] Lazarov R. D., “O skhodimosti raznostnykh reshenii k obobschennym resheniyam uravnenii chetvertogo poryadka”, Diff. uravneniya, 17:7 (1981), 1295–1303 | MR | Zbl

[9] Voitsekhovskii S. A., Makarov V. L., “Ob otsenke skorosti skhodimosti raznostnykh skhem v zadachakh na sobstvennye znacheniya dlya vypuklykh oblastei”, DAN SSSR, 234:5 (1980), 1035–1038 | MR

[10] Samarskii A. A., Andreev V. B., Raznostnye metody dlya ellipticheskikh uravnenii, Nauka, M., 1976 | MR | Zbl

[11] Makarov V. L., Saddullaev S. S., “K voprosu o skhodimosti raznostnykh skhem dlya uravneniya Gelmgoltsa v pryamougolnike”, Voprosy vychisl. i prikl. matem., vyp. 58, Tashkent, 1979, 30–38

[12] Lazarov R. D., Makarov V. L., “Skhodimost metoda setok i metoda pryamykh dlya mnogomernykh zadach matematicheskoi fiziki v klassakh obobschennykh reshenii”, DAN SSSR, 259:2 (1981), 282–286 | MR | Zbl

[13] Ladyzhenskaya O. L., Uraltseva N. N., Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, Nauka, M., 1964 | MR

[14] Lazarov R. D., Makarov V. L., “Raznostnye skhemy vtorogo poryadka tochnosti dlya osesimmetrichnogo uravneniya Puassona na obobschennykh resheniyakh iz $W_2^2$”, ZhVM i MF, 21:5 (1981), 1168–1179 | MR | Zbl

[15] Andreev A. A., Popov V. A., Sendov Bl., “Otsenki pogreshnosti chislennogo resheniya obyknovennykh differentsialnykh uravnenii”, ZhVM i MF, 21:3 (1981), 635–650 | MR | Zbl