A numerical solution of a two-dimensional transport equation

Olga Martin

Open Mathematics (2004)

  • Volume: 2, Issue: 2, page 191-198
  • ISSN: 2391-5455

Abstract

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In this paper we present a variational method for approximating solutions of the Dirichlet problem for the neutron transport equation in the stationary case. Error estimates from numerical examples are used to evaluate an approximation of the solution with respect to the steps of two grids.

How to cite

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Olga Martin. "A numerical solution of a two-dimensional transport equation." Open Mathematics 2.2 (2004): 191-198. <http://eudml.org/doc/268764>.

@article{OlgaMartin2004,
abstract = {In this paper we present a variational method for approximating solutions of the Dirichlet problem for the neutron transport equation in the stationary case. Error estimates from numerical examples are used to evaluate an approximation of the solution with respect to the steps of two grids.},
author = {Olga Martin},
journal = {Open Mathematics},
keywords = {35J99; 65N99},
language = {eng},
number = {2},
pages = {191-198},
title = {A numerical solution of a two-dimensional transport equation},
url = {http://eudml.org/doc/268764},
volume = {2},
year = {2004},
}

TY - JOUR
AU - Olga Martin
TI - A numerical solution of a two-dimensional transport equation
JO - Open Mathematics
PY - 2004
VL - 2
IS - 2
SP - 191
EP - 198
AB - In this paper we present a variational method for approximating solutions of the Dirichlet problem for the neutron transport equation in the stationary case. Error estimates from numerical examples are used to evaluate an approximation of the solution with respect to the steps of two grids.
LA - eng
KW - 35J99; 65N99
UR - http://eudml.org/doc/268764
ER -

References

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  1. [1] K.M. Case and P.F. Zweifel: Linear Transport Theory, Addison-Wesley, Massachusetts, 1967. 
  2. [2] W.R. Davis: Classical Fields, Particles and the Theory of Relativity, Gordon and Breach, New York, 1970. 
  3. [3] S. Glasstone and C. Kilton: The Elements of Nuclear Reactors Theory, Van Nostrand, Toronto-New York-London, 1982. 
  4. [4] G. Marchouk: Méthodes de calcul numérique, Édition MIR de Moscou, 1980. 
  5. [5] G. Marchouk and V. Shaydourov: Raffinementdes solutions des schémas aux différences, Édition MIR de Moscou, 1983. 
  6. [6] G. Marciuk and V. Lebedev: Cislennie metodî v teorii perenosa neitronov, Atomizdat, Moscova, 1971. 
  7. [7] O. Martin: “Une méthode de résolution de l'équation du transfert des neutrons”, Rev. Roum. Sci. Tech.-Méc. Appl., Vol. 37, (1992), pp. 623–646. 
  8. [8] N. Mihailescu: “Oscillations in the power distribution in a reactor”, Rev. Nuclear Energy, Vol. 9, No. 1-4, (1998), pp. 37–41. 
  9. [9] H. Pilkuhn: Relativistic Particle Physics, Springer Verlag, New York-Heidelberg-Berlin, 1980. 

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