Geodesic
Methods of splitting by subdomains for the neutron transport equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 11, pp. 1702-1718 Cet article a éte moissonné depuis la source Math-Net.Ru

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A family of methods of iterations in subdomains, intended for solving boundary-value problems in neutron transport theory is analysed. These methods are generated by certain schemes for splitting positive operators in Banach spaces with a cone. The comparative characteristics of such methods are studied and the most efficient ones are indicated. 
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B. D. Abramov; S. B. Shikhov. Methods of splitting by subdomains for the neutron transport equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 11, pp. 1702-1718. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_11_a8/

[1] Smelov V. V., “Printsip iterirovaniya po podoblastyam v zadachakh s uravneniem perenosa”, Zh. vychisl. matem. i matem. fiz., 21:6 (1981), 1493–1504 | MR | Zbl

[2] Lebedev V. I., Agoshkov V. I., Obobschennyi algoritm Shvartsa s peremennymi parametrami, Preprint No 19, OVM AN SSSR, M., 1981 | MR

[3] Abramov B. D., Shikhov S. B., O metode razdeleniya oblastei v teorii perenosa neitronov, Preprint FEI-1630, Obninsk, 1984

[4] Marchuk G. I., Metody rasschepleniya, Nauka, M., 1988 | MR

[5] Agoshkov V. I., Obobschennye resheniya uravneniya perenosa i svoistva ikh gladkosti, Nauka, M., 1988 | MR

[6] Shikhov S. B., Matematicheskie zadachi teorii reaktorov, Atomizdat, M., 1973

[7] Vladimirov V. S., Matematicheskie zadachi odnoskorostnoi teorii perenosa chastits, Tr. Matem. in-ta AN SSSR, 61, M., 1961

[8] Germogenova T. A., “Obobschennye resheniya uravneniya perenosa”, Zh. vychisl. matem. i matem. fiz., 9:3 (1969), 605–625 | MR | Zbl

[9] Krasnoselskii M. A., Zabreiko P. P., Pustylnik E. I., Sobolevskii P. E., Integralnye operatory v prostranstve summiruemykh funktsii, Nauka, M., 1968

[10] Faddeev D. K., Faddeeva V. N., Vychislitelnye metody lineinoi algebry, Fizmatgiz, M., 1963 | MR | Zbl

[11] Krasnoselskii M. A., Lifshits E. A., Sobolev A. V., Pozitivnye lineinye sistemy, Nauka, M., 1985 | MR