Optimal quadrature formulas with two models for the numerical integration of a Lipschitz function
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 11, pp. 1642-1658 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2003_43_11_a3,
     author = {N. M. Popov},
     title = {Optimal quadrature formulas with two models for the numerical integration of a {Lipschitz} function},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1642--1658},
     year = {2003},
     volume = {43},
     number = {11},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_11_a3/}
}
TY  - JOUR
AU  - N. M. Popov
TI  - Optimal quadrature formulas with two models for the numerical integration of a Lipschitz function
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2003
SP  - 1642
EP  - 1658
VL  - 43
IS  - 11
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_11_a3/
LA  - ru
ID  - ZVMMF_2003_43_11_a3
ER  - 
%0 Journal Article
%A N. M. Popov
%T Optimal quadrature formulas with two models for the numerical integration of a Lipschitz function
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2003
%P 1642-1658
%V 43
%N 11
%U http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_11_a3/
%G ru
%F ZVMMF_2003_43_11_a3
N. M. Popov. Optimal quadrature formulas with two models for the numerical integration of a Lipschitz function. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 11, pp. 1642-1658. http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_11_a3/

[1] Popov N. M., “Modelnaya dekompozitsiya v chislennom integrirovanii”, Nelineinoe modelirovanie slozhnykh struktur, VTs RAN, M., 1997, 11–20

[2] Popov N. M., “Dekompozitsionnye kvadraturnye formuly dlya vychisleniya integralov vysokoi informatsionnoi slozhnosti”, Izv. RAN. Teoriya i sistemy upravleniya, 1998, no. 1, 113–123 | Zbl

[3] Krasnoschekov P. S., Morozov V. V., Popov N. M., Fedorov V. V., “Ierarkhicheskie skhemy proektirovaniya i dekompozitsionnye chislennye metody”, Izv. RAN. Teoriya i sistemy upravleniya, 2001, no. 5, 80–89

[4] Bakhvalov N. S., Zhidkov N. P., Kobelkov G. M., Chislennye metody, Nauka, M., 1987 | MR | Zbl

[5] Nikolskii S. M., Kvadraturnye formuly, Nauka, M., 1988 (S dobavleniem ot N. P. Korneichuka) | MR

[6] Traub Dzh., Vozhnyakovskii Kh., Obschaya teoriya optimalnykh algoritmov, Mir, M., 1983 | MR | Zbl

[7] Sukharev A. G., Minimaksnye algoritmy v zadachakh chislennogo analiza, Nauka, M., 1989 | MR | Zbl