Issue N^{o} 1, 1982 
PARTICLE SCATTERING SIMULATION WITH MONTECARLO METHOD
A. N. Subbotin, N. M. Ghentsov Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1982. No 1. P. 39.
Anisotropic scattering simulation algorithms for radiation transport problems, solved by the MonteCarlo method, are given. Obtaining costeffective, “haltfree” computation formulae is based on using discontinuous functions to construct a moving coordinate system, associated with the particle flight direct ion.

MAXWELL DISTRIBUTION SAMPLING IN A RELATIVISTIC CASE A. I. Orlov Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1982. No 1. P. 1011.
When using the MonteCarlo method to calculate gammaray quantum propagation through a high temperature medium it becomes necessary to take into account the medium electron motion. The Maxwell distribution for an electron pulse in a relativistic case is such, that direct sampling seems to be impossible. An approach is proposed, which majorizes the Maxwell distrubution to represent it with a sufficiently high accuracy. A sampling algorithm is constructed and its efficiency is shown to be about 88100 per cent, depending on the medium temperature.

SOLVING THOMASFERMI EQUATIONS FOR A MATERIAL MIXTURE WITH AN ITERATION RUN METHOD A. F. Nikiforov, V. G. Novikov, V. B. Uvarov Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1982. No 1. P. 1217.
A simple, costeffective method for solving a system of ThomasFermi equations for an arbitrary material mixture with given temperatures and densities is proposed.

USING FOKKERPLANCK APPROXIMATION TO SOLVE THE FAST ELECTRON TRANSPORT PROBLEM BY THE MONTECARLO METHOD N. V. Ivanov, Yu. K. Kochubey Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1982. No 1. P. 1823.
A new algorithm for solving charged particle transport problems with the MonteCarlo method is proposed. The algorithm is based on the FokkerPlanck approximation used for describing smallangle collisions.

SOME ASPECTS OF METHODS FOR 2D MAGNETIC COLLISIONLESS PLASMA FLOW NUMERICAL SIMULATIONS A. I. Golubev Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1982. No 1. P. 2427.
A method for solving selfconsistent electromagnetic field equations, obtained from the plasma flow investigation with a hybrid model, is considered. A difference scheme and stability conditions are given. A method for deriving analytic nonliniear equation solutions is discussed.

ON RADIATION PROPAGATION IN A FIXED MEDIUM G. V. Dumkina, M. Yu. Kozmanov Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1982. No 1. P. 2730.
Maximum/minimum principle and a theorem showing the existence of solutions for energy and timedependent radiation transport equations in a broad sense are proved. Some accurate solutions are given which can be used for difference method checking.

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