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Matem. Mod., 2014, Volume 26, Number 7, Pages 33–53 (Mi mm3495)  

This article is cited in 7 scientific papers (total in 7 papers)

Even-odd parity transport equations. 2: The exact characteristic scheme for one-dimensional problems

A. V. Shilkov

Keldysh Institute of Applied Mathematics RAS, Moscow

Abstract: A finite analytic (not the finite difference) characteristic scheme for the even-odd parity transport equations with the algebraic or centered forms of scattering source for plane, cylindrical, or spherical one-dimensional problems is constructed.

Keywords: neutron and photon transport equation, finite analytic method, characteristic scheme, nuclear reactors, radiative heat transfer.

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English version:
Mathematical Models and Computer Simulations, 2015, 7:1, 36–50

Received: 25.03.2013

Citation: A. V. Shilkov, “Even-odd parity transport equations. 2: The exact characteristic scheme for one-dimensional problems”, Matem. Mod., 26:7 (2014), 33–53; Math. Models Comput. Simul., 7:1 (2015), 36–50

Citation in format AMSBIB
\Bibitem{Shi14}
\by A.~V.~Shilkov
\paper Even-odd parity transport equations. 2: The exact characteristic scheme for one-dimensional problems
\jour Matem. Mod.
\yr 2014
\vol 26
\issue 7
\pages 33--53
\mathnet{http://mi.mathnet.ru/mm3495}
\transl
\jour Math. Models Comput. Simul.
\yr 2015
\vol 7
\issue 1
\pages 36--50
\crossref{https://doi.org/10.1134/S2070048215010093}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925967724}


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    This publication is cited in the following articles:
    1. A. V. Shilkov, “Even- and odd-parity kinetic equations of particle transport. 3: Finite analytic scheme on tetrahedra”, Math. Models Comput. Simul., 7:5 (2015), 409–429  mathnet  crossref  elib
    2. A. V. Shilkov, M. N. Gerthev, “The Lebesgues averaging method veryfication”, Math. Models Comput. Simul., 8:2 (2016), 93–107  mathnet  crossref  mathscinet  elib
    3. 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
    4. 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
    5. A. V. Shilkov, “Reshenie ellipticheskikh uravnenii metodom luchevykh peremennykh”, Preprinty IPM im. M. V. Keldysha, 2017, 119, 36 pp.  mathnet  crossref
    6. A. V. Shilkov, “Uskorenie iteratsii pri reshenii uravneniya perenosa chastits s pomoschyu ekstrapolyatsii istochnika po indeksu iteratsii”, Preprinty IPM im. M. V. Keldysha, 2018, 251, 27 pp.  mathnet  crossref  elib
    7. A. V. Shilkov, “O reshenii lineinykh ellipticheskikh uravnenii vtorogo poryadka”, Matem. modelirovanie, 31:6 (2019), 55–81  mathnet  crossref  elib
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