Solution of the Energy-Dependent Neutron Transport Equation in Plane Geometry by Separation of Variables

1982 ◽  
Vol 82 (4) ◽  
pp. 373-387 ◽  
Author(s):  
A. Sengupta
Keyword(s):  
Transport Equation ◽  
Neutron Transport ◽  
Separation Of Variables ◽  
Plane Geometry ◽  
Neutron Transport Equation ◽  
Energy Dependent

scholarly journals On eigensolutions of the one-speed neutron transport equation in plane geometry

1990 ◽  
Vol 32 (2) ◽  
pp. 223-230 ◽  
Author(s):  
Nassar H. S. Haidar
Keyword(s):  
Steady State ◽  
Transport Equation ◽  
Neutron Transport ◽  
Plane Geometry ◽  
Angular Variable ◽  
Neutron Transport Equation ◽  
Resolvent Set ◽  
The One

AbstractWe revisit the singular eigensolution to the steady state one-speed transport equation for an isotropically scattering and multiplying heterogeneous slab. It is proved that this solution is a sum of Stieltjes integrals over the resolvent set of only the operator of multiplication by the angular variable.

High-Dimensional Model Representations for the Neutron Transport Equation

2014 ◽  
Vol 177 (3) ◽  
pp. 350-360 ◽  
Author(s):  
Zhengzheng Hu ◽  
Ralph C. Smith ◽  
Jeffrey Willert ◽  
C. T. Kelley
Keyword(s):  
Transport Equation ◽  
Neutron Transport ◽  
High Dimensional ◽  
Dimensional Model ◽  
Neutron Transport Equation
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