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Matematicheskoe modelirovanie, 1991, Volume 3, Number 2, Pages 63–81 (Mi mm2189)  

This article is cited in 16 scientific papers (total in 16 papers)

Mathematical models of phenomena and processes

Averaging of cross sections and spectrum in neutron transport

A. V. Shilkov

National Center of Mathematical Modelling of USSR Academy of Sciences
Abstract: Transport equation averaging methods are developed: generalized multigroup approximation and averaging over Lebesgue's sets. These methods permit to calculate numerous resonances in neutron cross sections and spectrum economically and with sufficient accuracy.
Received: 30.12.1990
Language: Russian
Citation: A. V. Shilkov, “Averaging of cross sections and spectrum in neutron transport”, Mat. Model., 3:2 (1991), 63–81
Citation in format AMSBIB
\Bibitem{Shi91}
\by A.~V.~Shilkov
\paper Averaging of cross sections and spectrum in neutron transport
\jour Mat. Model.
\yr 1991
\vol 3
\issue 2
\pages 63--81
\mathnet{http://mi.mathnet.ru/mm2189}
Linking options:
  • https://www.mathnet.ru/eng/mm2189
  • https://www.mathnet.ru/eng/mm/v3/i2/p63
  • This publication is cited in the following 16 articles:
    1. A. V. Shilkov, N. A. Sivakov, “Simulation of radiative heat transfer in supersonic plasma flows taking into account the doppler shift of lines”, Math. Models Comput. Simul., 13:6 (2021), 1064–1076  mathnet  crossref  crossref
    2. A. V. Shilkov, “Lebesgue moment method for solving the neutron transport equation”, Math. Models Comput. Simul., 13:1 (2021), 37–59  mathnet  crossref  crossref
    3. E. N. Aristova, G. O. Astafurov, “O sravnenii dissipativno-dispersionnykh svoistv nekotorykh konservativnykh raznostnykh skhem”, Preprinty IPM im. M. V. Keldysha, 2020, 117, 22 pp.  mathnet  crossref
    4. A. V. Shilkov, “Averaging of the neutron transport equation over energy by the Lebesgue moment method”, Preprinty IPM im. M. V. Keldysha, 2019, 134, 43 pp.  mathnet  crossref
    5. A. V. Shilkov, N. A. Sivakov, “Modelirovanie perenosa tepla izlucheniem v dvizhuscheisya plazme s uchetom doplerovskogo sdviga linii”, Preprinty IPM im. M. V. Keldysha, 2018, 250, 30 pp.  mathnet  crossref  elib
    6. E. N. Aristova, M. N. Gertsev, A. V. Shilkov, “Lebesgue averaging method in serial computations of atmospheric radiation”, Comput. Math. Math. Phys., 57:6 (2017), 1022–1035  mathnet  crossref  crossref  mathscinet  isi  elib
    7. E. N. Aristova, G. O. Astafurov, A. V. Shilkov, “Raschet izlucheniya v udarnom sloe spuskaemogo kosmicheskogo apparata s uchetom detalei spektra fotonov”, Kompyuternye issledovaniya i modelirovanie, 9:4 (2017), 579–594  mathnet  crossref
    8. M. N. Gertsev, A. V. Shilkov, “Podgotovka opticheskikh konstant dlya potochechnykh i lebegovskikh raschetov atmosfernoi radiatsii”, Preprinty IPM im. M. V. Keldysha, 2016, 031, 24 pp.  mathnet
    9. A. V. Shilkov, “Metod spektralnykh momentov v modelirovanii izluchayuschei stolknovitelnoi plazmy”, Preprinty IPM im. M. V. Keldysha, 2016, 036, 48 pp.  mathnet
    10. M. N. Gertsev, A. V. Shilkov, E. N. Aristova, “Raschet perenosa teplovogo izlucheniya v atmosfere Zemli”, Preprinty IPM im. M. V. Keldysha, 2016, 042, 28 pp.  mathnet  crossref
    11. A. V. Shilkov, “The moment method of Lebesgue aggregation and spectrum recovery in particle transport problems”, Math. Models Comput. Simul., 9:3 (2017), 263–280  mathnet  crossref  elib
    12. A. V. Shilkov, M. N. Gerthev, “The Lebesgue’s averaging method veryfication”, Math. Models Comput. Simul., 8:2 (2016), 93–107  mathnet  crossref  mathscinet  elib
    13. A. V. Shilkov, “Uravneniya dlya spektralnykh momentov funktsii raspredeleniya fotonov”, Preprinty IPM im. M. V. Keldysha, 2015, 077, 36 pp.  mathnet
    14. E. N. Aristova, “Bicompact scheme for linear inhomogeneous transport equation in a case of a big optical width”, Math. Models Comput. Simul., 6:3 (2014), 227–238  mathnet  crossref  mathscinet  elib
    15. E. N. Aristova, S. V. Martynenko, “Bicompact Rogov schemes for the multidimensional inhomogeneous linear transport equation at large optical depths”, Comput. Math. Math. Phys., 53:10 (2013), 1499–1511  mathnet  crossref  crossref  isi  elib  elib
    16. Shil'kov, AV, “Effective precise computation of atmospheric radiation by system ATRAD”, Doklady Akademii Nauk, 369:5 (1999), 611  mathnet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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