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On analytical and numerical solutions to the radiative transfer problem with a reflecting surface. (English. Russian original) Zbl 1022.65139
Comput. Math. Math. Phys. 41, No. 8, 1158-1168 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 8, 1217-1228 (2001).
This paper is devoted to the problem of radiative transfer for a semi-infinite space and a medium of finite thickness, with reflection from a boundary surface taken into account. The problem is described by an integral equation having a kernel that combines terms depending on the sum and difference of the arguments. Analytical and numerical methods are developed for solving the integral equation.

65R20 Numerical methods for integral equations
45M05 Asymptotics of solutions to integral equations
82C70 Transport processes in time-dependent statistical mechanics
45B05 Fredholm integral equations
45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type)