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Об одной задаче В. С. Владимирова в теории переноса излучения

A. Sh. Akishev (1984)

Aplikace matematiky

In this paper the method of spherical harmonics (MSH) is investigated, which is one of effective methods of approximative solution of the transport equation. On a unified methodical basis, boundary conditions on the outside and inner boundaries for every P N -approximation of MSH are formulated. These boundary conditions coincide with Vladimirov’s conditions (for N = 2 r + 1 ) and Rumjancev’s conditions (for every N ). Symmetrization of the system of stationary equations of MSH for every P N -approximation with arbitrary...

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