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New Monte Carlo methods for the solution of nonstationary problems in the radiation transfer theory

We construct new parametric estimates by the Monte Carlo method for the solution of nonstationary problems in the radiation transfer theory, using the corresponding Green functions and the Fourier transform with respect to a time coordinate. It is shown that the degree of smoothness of the generalized solution to the time-transfer equation is defined by the same property of a particle source. The algorithms constructed allow us to simultaneously estimate the derivatives of functionals and thus estimate the constant of the time asymptotics for the transfer process with multiplication.