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Matematicheskoe modelirovanie, 1989, Volume 1, Number 1, Pages 91–100 (Mi mm2504)  

This article is cited in 14 scientific papers (total in 14 papers)

Mathematical models of phenomena and processes

Averaging of transport equation in a resonantly absorbing medium

I. L. Tsvetkova, A. V. Shilkov
Received: 09.09.1988
Bibliographic databases:
UDC: 517.958:533.9
Language: Russian
Citation: I. L. Tsvetkova, A. V. Shilkov, “Averaging of transport equation in a resonantly absorbing medium”, Mat. Model., 1:1 (1989), 91–100
Citation in format AMSBIB
\Bibitem{TsvShi89}
\by I.~L.~Tsvetkova, A.~V.~Shilkov
\paper Averaging of transport equation in a~resonantly absorbing medium
\jour Mat. Model.
\yr 1989
\vol 1
\issue 1
\pages 91--100
\mathnet{http://mi.mathnet.ru/mm2504}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1008673}
\zmath{https://zbmath.org/?q=an:0972.78513}
Linking options:
  • https://www.mathnet.ru/eng/mm2504
  • https://www.mathnet.ru/eng/mm/v1/i1/p91
  • This publication is cited in the following 14 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. 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
    8. A. V. Shilkov, “Metod spektralnykh momentov v modelirovanii izluchayuschei stolknovitelnoi plazmy”, Preprinty IPM im. M. V. Keldysha, 2016, 036, 48 pp.  mathnet
    9. 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
    10. 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
    11. 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
    12. A. V. Shilkov, “Uravneniya dlya spektralnykh momentov funktsii raspredeleniya fotonov”, Preprinty IPM im. M. V. Keldysha, 2015, 077, 36 pp.  mathnet
    13. 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
    14. 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
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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