Geodesic
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 
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/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A new numerical-asymptotic method is proposed for constructing asymptotic solutions of equations that describe processes in strongly nonhomogeneous periodic media.

[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