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A combination of the finite-sum and Monte Carlo methods for the solution of integral equations of the second kind

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Abstract

An algorithm is investigated, which can be considered as a combination of the finite-sum method with the Monte Carlo method for the solution of integral equations of the second kind. Examples of the use of this algorithm in the solution of problems in particle-transfer are given.

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Literature cited

  1. D. Kertiss, “The Monte Carlo method in the iteration of linear operators,” Uspekhi Matem. Nauk,12, No. 5, 149–174 (1957).

    Google Scholar 

  2. I. S. Berezin and N. P. Zhidkov, Computing Methods [in Russian], Vol. 2, Moscow (1962).

  3. N. N. Chentsov, “The estimation of an unknown density distribution from observations,” Dokl. Akad. Nauk SSSR,147, No. 1, 45–48 (1962).

    Google Scholar 

  4. G. I. Marchuk, Computing Methods for Nuclear Reactors [in Russian], Moscow (1961).

  5. M. I. Sobol', The Monte Carlo Method in Computing Criticality in the Many-Group Approximation, in: The Monte Carlo Method in Problems of Radiation Transfer [in Russian], Moscow (1967), pp. 232–254.

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Translated from Matematicheskie Zametki, Vol. 9, No. 4, pp. 425–434, April, 1971.

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Mikhailov, G.A. A combination of the finite-sum and Monte Carlo methods for the solution of integral equations of the second kind. Mathematical Notes of the Academy of Sciences of the USSR 9, 245–249 (1971). https://doi.org/10.1007/BF01387774

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  • DOI: https://doi.org/10.1007/BF01387774

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