Superconvergent unsaturated algorithms for the numerical solution of the Laplace equation
Sibirskij žurnal industrialʹnoj matematiki, Tome 5 (2002) no. 2, pp. 36-52.

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

@article{SJIM_2002_5_2_a3,
     author = {V. N. Belykh},
     title = {Superconvergent unsaturated algorithms for the numerical solution of the {Laplace} equation},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {36--52},
     publisher = {mathdoc},
     volume = {5},
     number = {2},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2002_5_2_a3/}
}
TY  - JOUR
AU  - V. N. Belykh
TI  - Superconvergent unsaturated algorithms for the numerical solution of the Laplace equation
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2002
SP  - 36
EP  - 52
VL  - 5
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2002_5_2_a3/
LA  - ru
ID  - SJIM_2002_5_2_a3
ER  - 
%0 Journal Article
%A V. N. Belykh
%T Superconvergent unsaturated algorithms for the numerical solution of the Laplace equation
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2002
%P 36-52
%V 5
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2002_5_2_a3/
%G ru
%F SJIM_2002_5_2_a3
V. N. Belykh. Superconvergent unsaturated algorithms for the numerical solution of the Laplace equation. Sibirskij žurnal industrialʹnoj matematiki, Tome 5 (2002) no. 2, pp. 36-52. http://geodesic.mathdoc.fr/item/SJIM_2002_5_2_a3/

[1] Babenko K. I., Osnovy chislennogo analiza, Nauka, M., 1986 | MR

[2] Babenko K. I., “O yavlenii nasyscheniya v chislennom analize”, Dokl. AN SSSR, 241:3 (1978), 505–508 | MR | Zbl

[3] Belykh V. N., “Overconvergence of numerical algorithms without saturation (on an example of elliptic problems)”, Advanced. Math.: Comput. and Appl., Proc. of AMCA-95, Novosibirsk, 1995, 458–462 | MR

[4] Babenko K. I., “Neskolko zamechanii o diskretizatsii ellipticheskikh zadach”, Dokl. AN SSSR, 221:1 (1975), 11–14 | MR | Zbl

[5] Belykh V. N., “Algoritmy bez nasyscheniya v osesimmetrichnykh kraevykh zadachakh”, Dokl. AN SSSR, 295:5 (1987), 1037–1041 | MR | Zbl

[6] Belykh V. N., “Algoritmy bez nasyscheniya v zadache chislennogo integrirovaniya”, Dokl. AN SSSR, 304:3 (1989), 529–533 | MR | Zbl

[7] Bakhvalov N. S., Chislennye metody, Nauka, M., 1973 | MR | Zbl

[8] Belykh V. N., “Chislennye algoritmy bez nasyscheniya v nestatsionarnykh zadachakh gidrodinamiki idealnoi zhidkosti so svobodnymi granitsami”, Tr. In-ta matematiki SO AN SSSR, 11, 1988, 3–67 | MR | Zbl

[9] Belykh V. N., “K probleme chislennogo resheniya zadachi Dirikhle garmonicheskim potentsialom prostogo sloya (algoritmy bez nasyscheniya)”, Dokl. RAN, 329:4 (1993), 392–395 | MR | Zbl

[10] Sobolev S. L., Vvedenie v teoriyu kubaturnykh formul, Nauka, M., 1974 | MR

[11] Godunov S. K., Antonov A. G., Kirilyuk O. P., Kostin V. I., Garantirovannaya tochnost resheniya sistem lineinykh uravnenii v evklidovykh prostranstvakh, Nauka, Novosibirsk, 1992 | MR

[12] Belykh V. N., “Overconverging unsaturated algorithms of numerical solving the Laplace equation”, Mathematics in Applications: Abstracts, Intern. Conf. honor. academician Sergei K. Godunov, Novosibirsk, 1999, 28–29