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Optimization of the frequency polygon method with track-length estimators for the global solution of the transport equation. (Russian, English) Zbl 1079.65009
Zh. Vychisl. Mat. Mat. Fiz. 43, No. 3, 440-452 (2003); translation in Comput. Math. Math. Phys. 43, No. 3, 420-432 (2003).
Author’s summary: The frequency polygon method with track-length estimators for the global solution of the radiation transport equation in a slab is considered. A new method for finding an upper bound for the error in the \(\mathbb C\)-space metric is suggested. Values of the parameters of the method (the number of grid points and the number of trajectories) that are optimal with regard to the resulting error estimate are obtained. The results obtained are tested on two examples.

MSC:
65C05 Monte Carlo methods
82C80 Numerical methods of time-dependent statistical mechanics (MSC2010)
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