# A numerical solution of a two-dimensional transport equation

Open Mathematics (2004)

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

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topOlga 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

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

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