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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 5, Pages 753–766
DOI: https://doi.org/10.7868/S004446691305013X
(Mi zvmmf9856)
 

This article is cited in 24 scientific papers (total in 24 papers)

The Cauchy problem for the radiative transfer equation with generalized conjugation conditions

I. V. Prokhorovab

a Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok
References:
Abstract: The initial boundary problem for the nonstationary radiative transfer equation in a nonhomogeneous plane layer with generalized conjugation conditions on the material interface is studied. A generalized Monte-Carlo algorithm is proposed for solving the problem, and numerical experiments are discussed.
Key words: nonstationary transfer equation, generalized conjugation conditions, Monte-Carlo method.
Received: 24.05.2012
Revised: 06.12.2012
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 5, Pages 588–600
DOI: https://doi.org/10.1134/S0965542513050114
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: I. V. Prokhorov, “The Cauchy problem for the radiative transfer equation with generalized conjugation conditions”, Zh. Vychisl. Mat. Mat. Fiz., 53:5 (2013), 753–766; Comput. Math. Math. Phys., 53:5 (2013), 588–600
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Linking options:
  • https://www.mathnet.ru/eng/zvmmf9856
  • https://www.mathnet.ru/eng/zvmmf/v53/i5/p753
  • This publication is cited in the following 24 articles:
    1. I. V. Prokhorov, “The Cauchy Problem for the Radiation Transfer Equation with Fresnel and Lambert Matching Conditions”, Math. Notes, 105:1 (2019), 80–90  mathnet  crossref  crossref  mathscinet  isi  elib
    2. A. Kim, I. V. Prokhorov, “Initial-boundary value problem for a radiative transfer equation with generalized matching conditions”, Sib. elektron. matem. izv., 16 (2019), 1036–1056  mathnet  crossref
    3. A A Sushchenko, P A Vornovskikh, V A Kan, “Algorithms of Determination of the Boundaries Shaded Seabottom Areas”, IOP Conf. Ser.: Earth Environ. Sci., 272:2 (2019), 022242  crossref
    4. A A Sushchenko, E R Lyu, V A Kan, “Methods of the Theory of Radiation Transfer for Bathymetry Problems”, IOP Conf. Ser.: Earth Environ. Sci., 272:2 (2019), 022140  crossref
    5. I. P. Yarovenko, I. V. Prokhorov, “Determination of refractive indices of a layered medium under pulsed irradiation”, Opt. Spectrosc., 124:4 (2018), 567–574  crossref  isi  scopus
    6. I. V. Prokhorov, A. A. Suschenko, “Zadacha Koshi dlya uravneniya perenosa izlucheniya v neogranichennoi srede”, Dalnevost. matem. zhurn., 18:1 (2018), 101–111  mathnet
    7. A. Kim, I. V. Prokhorov, “Theoretical and numerical analysis of an initial-boundary value problem for the radiative transfer equation with Fresnel matching conditions”, Comput. Math. Math. Phys., 58:5 (2018), 735–749  mathnet  crossref  crossref  isi  elib
    8. Amosov A., “Nonstationary Radiation Transfer Through a Multilayered Medium With Reflection and Refraction Conditions”, Math. Meth. Appl. Sci., 41:17, SI (2018), 8115–8135  crossref  isi
    9. A. A. Amosov, “Initial-Boundary Value Problem for the Non-Stationary Radiative Transfer Equation with Fresnel Reflection and Refraction Conditions”, J Math Sci, 231:3 (2018), 279  crossref
    10. I. V. Prokhorov, A. A. Sushchenko, A. Kim, “An initial boundary value problem for the radiative transfer equation with diffusion matching conditions”, J. Appl. Industr. Math., 11:1 (2017), 115–124  mathnet  crossref  crossref  mathscinet  elib
    11. P. A. Vornovskikh, A. A. Sushchenko, “Remote sensing problem with multiple scattering effect”, 23rd International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, Proceedings of SPIE, 10466, eds. G. Matvienko, O. Romanovskii, SPIE-Int. Soc. Optical Engineering, 2017, UNSP 104661Y  crossref  isi  scopus
    12. Kim A. Prokhorov V I., “The Branching Monte Carlo Methods For the Cauchy Problem of the Radiative Transfer Equation With Fresnel Matching Conditions”, Proceedings of the International Conference Days on Diffraction (Dd) 2017, ed. Motygin O. Kiselev A. Goray L. Suslina T. Kazakov A. Kirpichnikova A., IEEE, 2017, 168–173  isi
    13. Trofimova O.N. Kuruntyaeva K.A. Kovtanyuk A.E. Prokhorov I.V., “Numerical Method For Solving the Nonstationary Radiation Transfer Equation in a Layered Medium”, Proceedings of the International Conference Days on Diffraction (Dd) 2017, ed. Motygin O. Kiselev A. Goray L. Suslina T. Kazakov A. Kirpichnikova A., IEEE, 2017, 319–324  isi
    14. A. Kim, I. V. Prokhorov, 2017 Days on Diffraction (DD), 2017, 168  crossref
    15. Olga N. Trofimova, Kseniya A. Kuruntyaeva, Andrey E. Kovtanyuk, Igor V. Prokhorov, 2017 Days on Diffraction (DD), 2017, 319  crossref
    16. A. Kim, I. V. Prokhorov, “Monte Carlo method for non-stationary radiative transfer equation in inhomogeneous media”, XXII International Symposium Atmospheric and Ocean Optics. Atmospheric Physics (Tomsk, Russian Federation, Thursday 30 June 2016), SPIE Proceedings, 10035, eds. G. Matvienko, O. Romanovskii, Spie-Int Soc Optical Engineering, 2016, 100350Z  crossref  isi  scopus
    17. A. A. Astrakhantseva, A. Yu. Chebotarev, G. V. Grenkin, A. E. Kovtanyuk, “Numerical analysis of the complex heat transfer in a layered medium”, 2016 Days on Diffraction (DD) (St.Petersburg, Russia), eds. O. Motygin, A. Kiselev, P. Kapitanova, L. Goray, A. Kazakov, A. Kirpichnikova, IEEE, 2016, 21–24  crossref  isi  scopus
    18. A. Yu. Chebotarev, G. V. Grenkin, A. E. Kovtanyuk, I. V. Prokhorov, “Analysis of a diffraction problem for equations of complex heat transfer”, 2016 Days on Diffraction (DD) (St.Petersburg, Russia), eds. O. Motygin, A. Kiselev, P. Kapitanova, L. Goray, A. Kazakov, A. Kirpichnikova, IEEE, 2016, 101–105  crossref  isi  scopus
    19. A. Amosov, M. Shumarov, “Boundary value problem for radiation transfer equation in multilayered medium with reflection and refraction conditions”, Appl. Anal., 95:7, SI (2016), 1581–1597  crossref  mathscinet  zmath  isi  elib  scopus
    20. A. A. Amosov, “Radiative Transfer Equation with Fresnel Reflection and Refraction Conditions in a System of Bodies with Piecewise Smooth Boundaries”, J Math Sci, 219:6 (2016), 821  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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