@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