Numerical methods for the generation of the spectrum of the multigroup slab-geometry discrete ordinates operator in neutron transport theory

Annals of Nuclear Energy ◽

10.1016/s0306-4549(02)00014-2 ◽

2002 ◽

Vol 29 (15) ◽

pp. 1837-1853 ◽

Author(s):

Marcos Pimenta de Abreu

Keyword(s):

Numerical Methods ◽

Transport Theory ◽

Neutron Transport ◽

Discrete Ordinates ◽

Slab Geometry ◽

Neutron Transport Theory

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On the spectrum of the one-speed slab-geometry discrete ordinates operator in neutron transport theory

Annals of Nuclear Energy ◽

10.1016/s0306-4549(97)00108-4 ◽

1998 ◽

Vol 25 (15) ◽

pp. 1209-1219 ◽

Author(s):

Marcos Pimenta de Abreu

Keyword(s):

Transport Theory ◽

Neutron Transport ◽

Discrete Ordinates ◽

Slab Geometry ◽

Neutron Transport Theory ◽

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A Discrete Energy Formulation of Neutron Transport Theory Applied to Solving the Discrete Ordinates Equations

Nuclear Science and Engineering ◽

10.13182/nse76-a27349 ◽

1976 ◽

Vol 61 (2) ◽

pp. 159-169 ◽

Author(s):

J. Ching ◽

E. M. Oblow ◽

H. Goldstein

Keyword(s):

Transport Theory ◽

Neutron Transport ◽

Discrete Ordinates ◽

Discrete Energy ◽

Neutron Transport Theory ◽

Energy Formulation

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Computational Efficiency of Numerical Methods for the Multigroup, Discrete-Ordinates Neutron Transport Equations: The Slab Geometry Case

Nuclear Science and Engineering ◽

10.13182/nse71-111 ◽

1979 ◽

Vol 71 (2) ◽

pp. 111-127 ◽

Author(s):

R. E. Alcouffe ◽

E. W. Larsen ◽

W. F. Miller ◽

B. R. Wienke

Keyword(s):

Numerical Methods ◽

Computational Efficiency ◽

Neutron Transport ◽

Transport Equations ◽

Discrete Ordinates ◽

Slab Geometry ◽

Neutron Transport Equations

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The discrete ordinates method for anisotropic scattering in the neutron transport theory: The critical sphere problem

Journal of Quantitative Spectroscopy and Radiative Transfer ◽

10.1016/j.jqsrt.2005.05.079 ◽

2006 ◽

Vol 98 (1) ◽

pp. 116-121 ◽

Author(s):

Bo Yang ◽

Mao-Sheng Li

Keyword(s):

Transport Theory ◽

Neutron Transport ◽

Anisotropic Scattering ◽

Discrete Ordinates ◽

Discrete Ordinates Method ◽

Neutron Transport Theory

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Applications of the Invariant Imbedding Method to Monoenergetic Neutron Transport Theory in Slab Geometry

Nuclear Science and Engineering ◽

10.13182/nse67-a17467 ◽

1967 ◽

Vol 28 (2) ◽

pp. 177-189 ◽

Author(s):

John O. Mingle

Keyword(s):

Transport Theory ◽

Neutron Transport ◽

Invariant Imbedding ◽

Slab Geometry ◽

Monoenergetic Neutron ◽

Neutron Transport Theory ◽

Invariant Imbedding Method ◽

Imbedding Method

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N-group neutron transport theory: A criticality problem in slab geometry

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(77)90195-0 ◽

1977 ◽

Vol 58 (3) ◽

pp. 605-630 ◽

Author(s):

T.W Mullikin ◽

Dean Victory

Keyword(s):

Transport Theory ◽

Neutron Transport ◽

Slab Geometry ◽

Neutron Transport Theory

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The reflected slab and sphere criticality problem with anisotropic scattering in one-speed neutron transport theory

Progress in Nuclear Energy ◽

10.1016/0149-1970(95)00094-1 ◽

1997 ◽

Vol 31 (3) ◽

pp. 229-252 ◽

Author(s):

M.A. Atalay

Keyword(s):

Transport Theory ◽

Neutron Transport ◽

Anisotropic Scattering ◽

Neutron Transport Theory

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Invariant Imbedding and Neutron Transport Theory II-Functional Equations

Indiana University Mathematics Journal ◽

10.1512/iumj.1958.7.57041 ◽

1958 ◽

Vol 7 (5) ◽

pp. 741-756 ◽

Author(s):

Richard Bellman ◽

Robert Kalaba ◽

G. Wing

Keyword(s):

Functional Equations ◽

Transport Theory ◽

Neutron Transport ◽

Invariant Imbedding ◽

Neutron Transport Theory

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Methods of Iterations on Subdomains for Neutron Transport Theory Problems

Transport Theory and Statistical Physics ◽

10.1080/00411450802522961 ◽

2008 ◽

Vol 37 (2-4) ◽

pp. 208-235 ◽

Author(s):

B. D. Abramov

Keyword(s):

Transport Theory ◽

Neutron Transport ◽

Neutron Transport Theory

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Convolution and H‐equations for operator‐valued functions with applications to neutron transport theory

Journal of Mathematical Physics ◽

10.1063/1.523305 ◽

1977 ◽

Vol 18 (4) ◽

pp. 764-769 ◽

Author(s):

C. T. Kelley

Keyword(s):

Transport Theory ◽

Neutron Transport ◽

Neutron Transport Theory

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