On additive iterative methods and estimates for their rate of convergence
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2003), pp. 3-11.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{IVM_2003_1_a0,
     author = {V. N. Abrashin and N. G. Zhadaeva},
     title = {On additive iterative methods and estimates for their rate of convergence},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--11},
     publisher = {mathdoc},
     number = {1},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2003_1_a0/}
}
TY  - JOUR
AU  - V. N. Abrashin
AU  - N. G. Zhadaeva
TI  - On additive iterative methods and estimates for their rate of convergence
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2003
SP  - 3
EP  - 11
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2003_1_a0/
LA  - ru
ID  - IVM_2003_1_a0
ER  - 
%0 Journal Article
%A V. N. Abrashin
%A N. G. Zhadaeva
%T On additive iterative methods and estimates for their rate of convergence
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2003
%P 3-11
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2003_1_a0/
%G ru
%F IVM_2003_1_a0
V. N. Abrashin; N. G. Zhadaeva. On additive iterative methods and estimates for their rate of convergence. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2003), pp. 3-11. http://geodesic.mathdoc.fr/item/IVM_2003_1_a0/

[1] Yanenko N. N., Metod drobnykh shagov resheniya mnogomernykh zadach matematicheskoi fiziki, Nauka, Novosibirsk, 1967, 195 pp. | MR

[2] Samarskii A. A., Vvedenie v teoriyu raznostnykh skhem, Nauka, M., 1971, 552 pp. | MR | Zbl

[3] Marchuk G. I., Metody vychislitelnoi matematiki, Nauka, M., 1989, 608 pp. | MR

[4] Marchuk G. I., Metody rasschepleniya, Nauka, M., 1988, 264 pp. | MR

[5] Samarskii A. A., Vabischevich P. N., Additivnye skhemy dlya zadach matematicheskoi fiziki, Nauka, M., 1999, 292 pp. | MR

[6] Andreev V. B., “Iteratsionnye metody peremennykh napravlenii dlya chislennogo resheniya tretei kraevoi zadachi v $p$-mernom parallelepipede”, Zhurn. vychisl. matem. i matem. fiz., 5:4 (1965), 626–637 | Zbl

[7] Dyakonov E. G., “O nekotorykh iteratsionnykh metodakh resheniya sistem raznostnykh uravnenii, voznikayuschikh pri reshenii metodom setok uravnenii v chastnykh proizvodnykh ellipticheskogo tipa”, Vychisl. metody i programmirovanie, no. 3, M., 1965, 163–194

[8] Dyakonov E. G., Iteratsionnye metody resheniya raznostnykh analogov kraevykh zadach dlya uravnenii ellipticheskogo tipa, Sovrem. chisl. metody, 4, In-t kibernet. AN USSR, Kiev, 1970, 144 pp.

[9] Douglas J., Gunn J. E., “A general formulation of alternating direction methods. Parabolic and hyperbolic problems”, Num. Math., 6 (1964), 428–453 | DOI | MR | Zbl

[10] Ilin V. P., “O rasscheplenii raznostnykh uravnenii parabolicheskogo i ellipticheskogo tipov”, Sib. matem. zhurn., 1965, no. 6, 1425–1428

[11] Birkhoff G., Varga R. S., “Implicit alternating direction methods”, Trans. Amer. Math. Soc., 92:1 (1959), 13–24 | DOI | MR | Zbl

[12] Birkhoff G., Varga R. S., “Alternating direction implicit methods”, Advances in Comp., 3, Academ. Press, New York–London, 1962, 189–273 | MR

[13] Belsusan A., Lions Zh.-L., Temam R., “Metody dekompozitsii, detsentralizatsii, koordinatsii i ikh prilozheniya”, Metody vychislitelnoi matematiki, Nauka, Novosibirsk, 1975, 144–274

[14] Abrashin V. N., Zhadaeva N. G., “Raznostnye skhemy dlya zadach matematicheskoi fiziki v oblasti proizvolnoi formy”, Differents. uravneniya i ikh primenenie, no. 43, Vilnyus, 1988, 22–30 | MR | Zbl

[15] Zhadaeva N. G., “Mnogokomponentnyi metod peremennykh napravlenii resheniya mnogomernykh zadach dlya ellipticheskikh uravnenii so smeshannymi proizvodnymi”, Differents. uravneniya, 34:7 (1998), 948–957 | MR | Zbl

[16] Abrashin V. N., “Ob odnom variante metoda peremennykh napravlenii resheniya mnogomernykh zadach matematicheskoi fiziki”, Differents. uravneniya, 26:2 (1990), 313–323 | MR

[17] Abrashin V. N., Mukha V. A., “Ob odnom klasse ekonomichnykh raznostnykh skhem resheniya mnogomernykh zadach matematicheskoi fiziki”, Differents. uravneniya, 28:10 (1992), 1786–1799 | MR | Zbl

[18] Abrashin V. N., “Ob odnom iteratsionnom metode resheniya raznostnykh zadach dlya ellipticheskikh uravnenii”, Differents. uravneniya, 31:7 (1998), 911–920 | MR

[19] Abrashin V. N., “Mnogokomponentnye iteratsionnye metody peremennykh napravlenii”, Matem. modelir., 12:2 (2000), 45–58 | MR | Zbl

[20] Samarskii A. A., Abrashin V. N., Zhadaeva N. G., “Additivnye iteratsionnye metody resheniya zadach matematicheskoi fiziki”, Dokl. RAN, 373:6 (2000), 734–736 | MR

[21] Abrashin V. N., Egorov A. A., Zhadaeva N. G., “O skorosti skhodimosti additivnykh iteratsionnykh metodov”, Differents. uravneniya, 37:7 (2001), 867–879 | MR | Zbl

[22] Abrashin V. N., Egorov A. A., Zhadaeva N. G., “Ob odnom klasse additivnykh iteratsionnykh metodov”, Differents. uravneniya, 37:12 (2001), 1664–1763 | MR