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

Edward W. Larsen, Warren F. Miller, Jr.

Nuclear Science and Engineering / Volume 73 / Number 1 / Pages 76-83

January 1980

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The order of convergence, as the spatial cell widths tend to zero, is derived for six numerical methods that have been proposed for the slab geometry, multigroup, discrete-ordinates neutron transport equations. Our results, which in two cases differ from earlier experimental results, are illustrated by means of a simple test problem.

 
 
 
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