Discrete-Analytical Difference Scheme for Solving the Nonstationary Particle Transport Equation by the Splitting Method

Author:

Moiseev N. Ya.,Shmakov V. M.

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics

Reference18 articles.

1. B. G. Carlson and G. I. Bell, “Solution of the transport equation by the Sn method,” in Proceeding of the Second Unified Nations International Conference on the Peaceful Uses of Atomic Energy, P/2386 (Unified Nations, 1958), Vol. 16, pp. 535–549.

2. B. G. Carlson, “Numerical solution of neutron transport problems,” in Proceedings of Symposia in Applied Mathematics, Vol. 11: Nuclear Reactor Theory (Am. Math. Soc., Providence, RI, 1961; Gosatomizdat, Moscow, 1963).

3. G. I. Marchuk and V. I. Lebedev, Numerical Methods in the Theory of Neutron Transport (Atomizdat, Moscow, 1981; Harwood, New York, 1986).

4. R. M. Shagaliev, V. A. Shumilin, A. V. Alekseev, et al., “Mathematical models and methods for solving multidimensional particle and energy transport problems implemented with the use of the SATURN-3 code,” VANT, Ser. Mat. Model. Fiz. Processov, No. 4, 20–26 (1999).

5. F. D. Gadzhiev, I. A. Kondakov, V. N. Pisarev, O. I. Starodumov, and A. A. Shestakov, “Discrete ordinate method with artificial dissipation (DDAD scheme) for the numerical solution of the neutron transport equation,” VANT, Ser. Mat. Model. Fiz. Processov, No. 4, 13–24 (2003).

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