General iterative processes for solving the transport equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 2, pp. 320-324
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
A boundary value problem for the radiation transfer equation is considered. Two general iterative processes are proposed for its solution, and sufficient conditions for their convergence to the exact solution are obtained.
[1] Germogenova T. A., Lokalnye svoistva reshenii uravneniya perenosa, Nauka, M., 1986 | MR | Zbl
[2] Devkin V. I., “Kriterii razreshimosti kraevoi zadachi dlya uravneniya perenosa i nekotorye ego sledstviya”, Zh. vychisl. matem. i matem. fiz., 29:6 (1989), 853–866 | MR
[3] Krein S. G. (red.), Funktsionalnyi analiz, Nauka, M., 1972, 387–388 | MR
[4] Kolmogorov A. N., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1989 | MR