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Original Articles

An analytical solution for the multigroup slab geometry discrete ordinates problems

Pages 1337-1352 | Received 24 May 1993, Accepted 12 Aug 1994, Published online: 01 Sep 2006

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Ser Gi Hong & Deokjung Lee. (2015) Sub-cell balanced nodal expansion methods using S4 eigenfunctions for multi-group S transport problems in slab geometry. Journal of Nuclear Science and Technology 52:3, pages 315-331.
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Articles from other publishers (15)

Bárbara D.d.A. Rodriguez, Marco T. Vilhena & Bardo E.J. Bodmann. (2011) An overview of the Boltzmann transport equation solution for neutrons, photons and electrons in Cartesian geometry. Progress in Nuclear Energy 53:8, pages 1119-1125.
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B.D.A. Rodriguez, M.T. Vilhena, G. Hoff & B.E.J. Bodmann. (2011) A closed-form solution for the two-dimensional transport equation by the LTSN nodal method in the energy range of Compton effect. Annals of Nuclear Energy 38:1, pages 151-156.
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B.D.A. Rodriguez, M.T. Vilhena, V. Borges & G. Hoff. (2008) A closed-form solution for the two-dimensional Fokker–Planck equation for electron transport in the range of Compton Effect. Annals of Nuclear Energy 35:5, pages 958-962.
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C. F. SegattoM. T. VilhenaD. V. Marona. (2008) The LTS N solution of the transport equation for one-dimensional cartesian geometry with c = 1 . Kerntechnik 73:1-2, pages 57-60.
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R.F. Vargas, C.F. Segatto & M.T. Vilhena. (2007) Solution of the radiative heat transfer equation with internal energy sources in a slab by the method. Journal of Quantitative Spectroscopy and Radiative Transfer 105:1, pages 1-7.
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M.R. Simch, C.F. Segatto & M.T. Vilhena. (2006) An analytical solution for the radiative transfer equation with polarization in a slab by the method. Journal of Quantitative Spectroscopy and Radiative Transfer 97:3, pages 424-435.
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C.F. Segatto, M.T. Vilhena & S.Q. Bogado Leite. (2005) The angular multigrid approach in a slab. Journal of Quantitative Spectroscopy and Radiative Transfer 95:3, pages 415-422.
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Marco T. Vilhena, Haroldo F. de Campos Velho, Cynthia F. Segatto & Glênio A. Gonçalves. 2004. Integral Methods in Science and Engineering. Integral Methods in Science and Engineering 267 272 .
Rubem M.F. Varga, Augusto V. Cardona, Marco T. Vilhena & Ricardo C. Barros. (2003) On the decomposition method applied to linear and non-linear discrete ordinates problems in slab geometry. Progress in Nuclear Energy 42:4, pages 439-456.
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Ser Gi Hong & Nam Zin Cho. (2001) The infinite medium Green's function method for multigroup discrete ordinates transport problems in multi-layered slab geometry. Annals of Nuclear Energy 28:11, pages 1101-1114.
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C.F Segatto, M.T Vilhena & L.S.S Tavares. (2001) The determination of radiant parameters by the LTSN method. Journal of Quantitative Spectroscopy and Radiative Transfer 70:2, pages 227-236.
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G.A. Gonçalves, C.F. Segatto & M.T. Vilhena. (2000) The LTSN particular solution in a slab for an arbitrary source and large order of quadrature. Journal of Quantitative Spectroscopy and Radiative Transfer 66:3, pages 271-276.
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Marco T. Vilhena, Lilian B. Barichello, Jorge Zabadal, Cynthia F. Segatto & Augusto V. Cardona. (1998) General solution of one-dimensional approximations to the transport equation. Progress in Nuclear Energy 33:1-2, pages 99-115.
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Jacques Brancher, Augusto Cardona & Marco Túllio de Vilhena. (1998) A recursive method to invert the LTSN matrix. Progress in Nuclear Energy 33:4, pages 393-401.
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Rubem M.F. Vargas & Marco T.M.B. De Vilhena. (1997) Analytical solution of the discrete ordinates problem by the decomposition method. Annals of Nuclear Energy 24:10, pages 785-791.
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