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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@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