A consistent linear multifrequency-grey acceleration scheme is developed to accelerate the iterative convergence speed of diamonddifferenced multigroup radiative transfer equations. A difference scheme of acceleration equation is obtained directly by applying discrete P1 approximation to differenced S_N equations. Numerical examples show that the method is effective and robust.

Some difficulties are analyzed for solving problems of multigroup radiation transfer coupled with material,and an artificial-scattering iteration method is presented by splitting electron energy equation into two equations.The computing method is described and compared with other method.Numerical examples are given.

After analyzing the advantages and disadvantages of Monte Carlo and deterministic methods for solving particle transport problems, a zero variance iteration scheme and a semi-random simulation method are presented, which exploits the strengths and discards the weak of both methods. Both the scheme and the method are described briefly.

A corrected (P₂) diffusion equation is presented for the radiation transfer problems by means of an asymptotic expansion and numerical comparisions of LD (linear discontinued finite element),P₂ diffusion, simple diffusion and limited flux diffusion are also given.

Based on a simplified physics model a numerical method is proposed for calculating 3-D radiation field of cavity and the convergence of iteration procedure used is discussed.In order to illustrate that the method is feasible and effective,some numerical examples are given as well.

On the basis of characteristics of radiation transfer in the cavity, the author discussed the necessity and feasibility of calculating strategy which is to solve transport equation in the cavity and solve diffusion equation in the cavity wall. A method which links interface calculation of the two regions is presented.some numerical test results are also also given with corresponding conclusions.

This paper presents a variable multigroup method for calculation in non-equilibrium radiative transfer considered atomic line cross section shift. The use of this method coupling with the conventional multigroup method is descrived and compared with the latter for simple example.

A numerical method for solving three-temperature equations of radiation viadomain decomposition is presented. The method is based on dividing the domain into two or several domains and solving either three -temperature equations or single-temperature euqation in each domain. Also we present a scheme coupling interface flux between one domain and the next and analyse the convergence of the iteration method for solving the difference equations.