Geodesic
The alternately-triangular iterative method in subspace of solubility for numerical solution of Neumann’s problem for Poisson’s equation
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 8 (2008) no. 1, pp. 77-89 
S. B. Sorokin. The alternately-triangular iterative method in subspace of solubility for numerical solution of Neumann’s problem for Poisson’s equation. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 8 (2008) no. 1, pp. 77-89. http://geodesic.mathdoc.fr/item/VNGU_2008_8_1_a7/
@article{VNGU_2008_8_1_a7,
     author = {S. B. Sorokin},
     title = {The alternately-triangular iterative method in subspace of solubility for numerical solution of {Neumann{\textquoteright}s} problem for {Poisson{\textquoteright}s} equation},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {77--89},
     year = {2008},
     volume = {8},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2008_8_1_a7/}
}
TY  - JOUR
AU  - S. B. Sorokin
TI  - The alternately-triangular iterative method in subspace of solubility for numerical solution of Neumann’s problem for Poisson’s equation
JO  - Sibirskij žurnal čistoj i prikladnoj matematiki
PY  - 2008
SP  - 77
EP  - 89
VL  - 8
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/VNGU_2008_8_1_a7/
LA  - ru
ID  - VNGU_2008_8_1_a7
ER  - 
%0 Journal Article
%A S. B. Sorokin
%T The alternately-triangular iterative method in subspace of solubility for numerical solution of Neumann’s problem for Poisson’s equation
%J Sibirskij žurnal čistoj i prikladnoj matematiki
%D 2008
%P 77-89
%V 8
%N 1
%U http://geodesic.mathdoc.fr/item/VNGU_2008_8_1_a7/
%G ru
%F VNGU_2008_8_1_a7

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

The alternately-triangular iterative method in subspace of solubility for numerical solution of Poisson’s equation with Neumann’s boundary conditiones are placed. Construction and investigation of the method base oneself on conjugate-operator structure of problem’s operator.

[1] Samarskii A. A., Nikolaev E. S., Metody resheniya setochnykh uravnenii, Nauka, M., 1978 | MR

[2] Marchuk G. I., Metody vychislitelnoi matematiki, Nauka, M., 1980 | MR

[3] Konovalov A. N., “Iteratsionnye metody dlya operatornykh uravnenii s sopryazhenno-faktorizovannoi strukturoi”, Sib. mat zhurn., 41:2 (2000), 370–384

[4] Konovalov A. N., Sorokin S. B., “O raznostnykh approksimatsiyakh uravnenii teorii uprugosti”, Aktualnye problemy vychislitelnoi i prikladnoi matematiki, Tez. dokl. Vsesoyuz. konf. (Novosibirsk, 1987), 103–104

[5] Konovalov A. N., “Sopryazhenno-faktorizovannye modeli v zadachakh matematicheskoi fiziki”, Sib. zhurn. vych. mat., 1:1 (1998), 25–57 | MR

[6] Sorokin S. B., “Numerical Solution of Elliptic Problems with Factorized Operator”, Bulletin of the Novosibirsk Computing Center. Series: Numerical Analysis, 1994, no. 5, 87–104 | MR

[7] Konovalov A. N., “K teorii poperemenno-treugolnogo iteratsionnogo metoda”, Sib. mat. zhurn., 43:3 (2002), 552–572 | MR | Zbl

[8] Konovalov A. N., “Metod skoreishego spuska s adaptivnym poperemenno-treugolnym pereobuslovlivatelem”, Dif. uravneniya, 40:7 (2004), 953–963 | MR | Zbl

[9] Gantmakher F. R., Teoriya matrits, Nauka, M., 1988 | MR | Zbl

[10] Faddeev D. K., Faddeeva V. N., Vychislitelnye metody lineinoi algebry, Fizmatgiz, M., 1960 | MR

[11] Demidovich B. P., Maron I. A., Osnovy vychislitelnoi matematiki, Nauka, M., 1970