@article{ZVMMF_2000_40_1_a3,
author = {A. V. Glasko},
title = {Improved stability of a method for computing the coefficients of an absolutely convergent series approximating a functional integral},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {30--34},
year = {2000},
volume = {40},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_1_a3/}
}
TY - JOUR AU - A. V. Glasko TI - Improved stability of a method for computing the coefficients of an absolutely convergent series approximating a functional integral JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2000 SP - 30 EP - 34 VL - 40 IS - 1 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_1_a3/ LA - ru ID - ZVMMF_2000_40_1_a3 ER -
%0 Journal Article %A A. V. Glasko %T Improved stability of a method for computing the coefficients of an absolutely convergent series approximating a functional integral %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2000 %P 30-34 %V 40 %N 1 %U http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_1_a3/ %G ru %F ZVMMF_2000_40_1_a3
A. V. Glasko. Improved stability of a method for computing the coefficients of an absolutely convergent series approximating a functional integral. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 1, pp. 30-34. http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_1_a3/
[1] Popov V. I., Kontinualnye integraly v kvantovoi teorii polya i statisticheskoi fizike, Atomizdat, M., 1976 | MR
[2] Belokurov V. V., Solovev Yu. P., Shavgulidze E. T., “Metod priblizhennogo vychisleniya kontinualnykh integralov, ispolzuyuschii teoriyu vozmuschenii so skhodyaschimisya ryadami”, Teor. i matem. fiz., 109:1 (1996), 51–69 | MR
[3] Belokurov V. V., Kamchatny V. V., Shavgulidze E. T., Solovyov Yu. P., Approximative independence on the regularization parameter as a key to calculation of functional integrals with any accuracy, Preprint-96-31/438, MSU, INP
[4] Belokurov V. V., Kamchatny V. V., Shavgulidze E. T., Solovyov Yu. P., “Perturbation theory with convergent series for arbitrary values of coupling constant”, Mod. Phys. Letts. A, 12:10 (1997), 661–672 | DOI
[5] Belokurov V. V., Solovev Yu. P., Shavgulidze E. T., “Obschii podkhod k vychisleniyu funktsionalnykh integralov i summirovaniyu raskhodyaschikhsya ryadov”, Fund. i prikl. matem., 5:2 (1999), 363–383 | MR | Zbl
[6] Glasko A. V., “O vychislenii koeffitsientov absolyutno skhodyaschegosya ryada, priblizhayuschego funktsionalnyi integral”, Zh. vychisl. matem. i matem. fiz., 39:12 (1999), 1945–1949 | MR
[7] Tikhonov A. N., Arsenin V. Ya., Metody resheniya nekorrektnykh zadach, Nauka, M., 1979 | MR
[8] Glasko V. B., Obratnye zadachi matematicheskoi fiziki, Izd-vo MGU, M., 1984 | MR | Zbl