Unconditionally Stable Diffusion-Synthetic Acceleration Methods for the Slab Geometry Discrete Ordinates Equations. Part I: Theory

Edward W. Larsen

doi:10.13182/nse82-1

Unconditionally Stable Diffusion-Synthetic Acceleration Methods for the Slab Geometry Discrete Ordinates Equations. Part I: Theory

Nuclear Science and Engineering ◽

10.13182/nse82-1 ◽

1982 ◽

Vol 82 (1) ◽

pp. 47-63 ◽

Cited By ~ 128

Author(s):

Edward W. Larsen

Keyword(s):

Discrete Ordinates ◽

Slab Geometry ◽

Unconditionally Stable ◽

Diffusion Synthetic Acceleration ◽

Acceleration Methods

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Unconditionally Stable Diffusion-Synthetic Acceleration Methods for the Slab Geometry Discrete Ordinates Equations. Part II: Numerical Results

Nuclear Science and Engineering ◽

10.13182/nse82-2 ◽

1982 ◽

Vol 82 (1) ◽

pp. 64-70 ◽

Cited By ~ 32

Author(s):

Donald R. McCoy ◽

Edward W. Larsen

Keyword(s):

Numerical Results ◽

Discrete Ordinates ◽

Slab Geometry ◽

Unconditionally Stable ◽

Diffusion Synthetic Acceleration ◽

Acceleration Methods

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Coarse-mesh diffusion synthetic acceleration of the scattering source iteration scheme for one-speed slab-geometry discrete ordinates problems

10.1063/1.4826024 ◽

2013 ◽

Author(s):

Frederico P. Santos ◽

Hermes Alves Filho ◽

Ricardo C. Barros

Keyword(s):

Iteration Scheme ◽

Discrete Ordinates ◽

Coarse Mesh ◽

Slab Geometry ◽

Diffusion Synthetic Acceleration

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Diffusion Synthetic Acceleration Methods for the Diamond-Differenced Discrete-Ordinates Equations

Nuclear Science and Engineering ◽

10.13182/nse77-1 ◽

1977 ◽

Vol 64 (2) ◽

pp. 344-355 ◽

Cited By ~ 195

Author(s):

R. E. Alcouffe

Keyword(s):

Discrete Ordinates ◽

Diffusion Synthetic Acceleration ◽

Acceleration Methods

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Diffusion-synthetic acceleration methods for discrete-ordinates problems

Transport Theory and Statistical Physics ◽

10.1080/00411458408211656 ◽

1984 ◽

Vol 13 (1-2) ◽

pp. 107-126 ◽

Cited By ~ 64

Author(s):

Edward W. Larsen

Keyword(s):

Discrete Ordinates ◽

Diffusion Synthetic Acceleration ◽

Acceleration Methods

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Photon transport in vegetation canopies with anisotropic scattering Part IV. Discrete-ordinates/exact-kernel technique for two-angle photon transport in slab geometry

Agricultural and Forest Meteorology ◽

10.1016/0168-1923(88)90071-8 ◽

1988 ◽

Vol 42 (2-3) ◽

pp. 101-120 ◽

Cited By ~ 16

Author(s):

R.B. Myneni ◽

V.P. Gutschick ◽

G. Asrar ◽

E.T. Kanemasu

Keyword(s):

Anisotropic Scattering ◽

Discrete Ordinates ◽

Slab Geometry ◽

Photon Transport ◽

Vegetation Canopies

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A multi-group extended linear discontinuous method for fixed-source discrete ordinates problems in slab geometry

International Journal of Nuclear Energy Science and Technology ◽

10.1504/ijnest.2019.099721 ◽

2019 ◽

Vol 13 (1) ◽

pp. 70

Author(s):

Iram B. Rivas Ortiz ◽

Dany S. Dominguez ◽

Carlos R. García Hernández ◽

Susana M. Iglesias

Keyword(s):

Discrete Ordinates ◽

Slab Geometry

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Shifting Strategy in the Spectral Analysis for the Spectral Green’s Function Nodal Method for Slab-Geometry Adjoint Transport Problems in the Discrete Ordinates Formulation

Integral Methods in Science and Engineering, Volume 2 ◽

10.1007/978-3-319-59387-6_20 ◽

2017 ◽

pp. 201-210

Author(s):

J. P. Curbelo ◽

O. P. da Silva ◽

C. R. García ◽

R. C. Barros

Keyword(s):

Spectral Analysis ◽

Green’S Function ◽

Green's Function ◽

Discrete Ordinates ◽

Slab Geometry ◽

Nodal Method ◽

Shifting Strategy ◽

Adjoint Transport ◽

Transport Problems

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A Numerical Method for One-Group Slab-Geometry Discrete Ordinates Problems with No Spatial Truncation Error

Nuclear Science and Engineering ◽

10.13182/nse90-a23719 ◽

1990 ◽

Vol 104 (3) ◽

pp. 199-208 ◽

Cited By ~ 49

Author(s):

Ricardo C. De Barros ◽

Edward W. Larsen

Keyword(s):

Numerical Method ◽

Truncation Error ◽

Discrete Ordinates ◽

Slab Geometry

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STABILITY OF THE THETA-SCHEME FOR THE TIME-DEPENDENT, MULTIGROUP, DISCRETE ORDINATES APPROXIMATION OF THE TRANSPORT EQUATION IN SLAB GEOMETRY IN THE PRESENCE OF DELAYED NEUTRONS

Transport Theory and Statistical Physics ◽

10.1081/tt-120003010 ◽

2002 ◽

Vol 31 (1) ◽

pp. 35-63 ◽

Cited By ~ 2

Author(s):

L. Bourhrara ◽

R. Sanchez

Keyword(s):

Transport Equation ◽

Time Dependent ◽

Discrete Ordinates ◽

Slab Geometry ◽

Delayed Neutrons

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Convergence Rates of Spatial Difference Equations for the Discrete-Ordinates Neutron Transport Equations in Slab Geometry

Nuclear Science and Engineering ◽

10.13182/nse80-3 ◽

1980 ◽

Vol 73 (1) ◽

pp. 76-83 ◽

Cited By ~ 55

Author(s):

Edward W. Larsen ◽

Warren F. Miller

Keyword(s):

Difference Equations ◽

Convergence Rates ◽

Neutron Transport ◽

Transport Equations ◽

Discrete Ordinates ◽

Spatial Difference ◽

Slab Geometry ◽

Neutron Transport Equations

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