A numerical-asymptotic multicomponent averaging method for equations with contrast coefficients
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 2, pp. 243-253 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A new numerical-asymptotic method is proposed for constructing asymptotic solutions of equations that describe processes in strongly nonhomogeneous periodic media.
@article{ZVMMF_1990_30_2_a6,
     author = {G. P. Panasenko},
     title = {A~numerical-asymptotic multicomponent averaging method for equations with contrast coefficients},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {243--253},
     year = {1990},
     volume = {30},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_2_a6/}
}
TY  - JOUR
AU  - G. P. Panasenko
TI  - A numerical-asymptotic multicomponent averaging method for equations with contrast coefficients
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1990
SP  - 243
EP  - 253
VL  - 30
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_2_a6/
LA  - ru
ID  - ZVMMF_1990_30_2_a6
ER  - 
%0 Journal Article
%A G. P. Panasenko
%T A numerical-asymptotic multicomponent averaging method for equations with contrast coefficients
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1990
%P 243-253
%V 30
%N 2
%U http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_2_a6/
%G ru
%F ZVMMF_1990_30_2_a6
G. P. Panasenko. A numerical-asymptotic multicomponent averaging method for equations with contrast coefficients. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 2, pp. 243-253. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_2_a6/

[1] Bakhvalov N. S., “Osrednenie differentsialnykh uravnenii s chastnymi proizvodnymi s bystro ostsilliruyuschimi koeffitsientami”, Dokl. AN SSSR, 221:3 (1975), 516–519 | MR | Zbl

[2] Panasenko G. P., “Osrednenie polei v kompozitsionnykh materialakh s vysokomodulnoi armaturoi”, Vestn. MGU. Ser. vychisl. matem. i kibernetika, 1983, no. 2, 20–27 | MR | Zbl

[3] Bakhvalov N. S., Panasenko G. P., Osrednenie protsessov v periodicheskikh sredakh, Nauka, M., 1984 | MR

[4] Panasenko G. P., “Metod osredneniya uravnenii s kontrastnymi koeffitsientami”, Metody malogo parametra, Tezisy dokl. Vses. nauchn. soveschaniya, Izd-vo KBGU, Nalchik, 1987, 116

[5] Panasenko G. P., “Osrednenie protsessov v silno neodnorodnykh strukturakh”, Dokl. AN SSSR, 298:1 (1988), 76–79 | MR

[6] Bakhvalov N. S., Panasenko G. P., Shtaras A. L., Eglit M. E., “Chislenno-asimptoticheskie metody”, Asimptoticheskie metody matem. fiz., Nauk. dumka, Kiev, 1988, 18–28 | MR

[7] Khruslov E. Ya., “O skhodimosti reshenii vtoroi kraevoi zadachi v slabo svyazannykh oblastyakh”, Teoriya operatorov v funktsionalnykh prostranstvakh i ee prilozheniya, Nauk. dumka, Kiev, 1981, 129–174 | MR

[8] Molotkov L. A., Khilo A. E., “Issledovanie odnofaznykh i mnogofaznykh effektivnykh modelei, opisyvayuschikh periodicheskie sredy”, Matem. vopr. teorii rasprostraneniya voln, Zap. nauchn. seminarov LOMI, 140, no. 14, 1984, 105–122 | Zbl