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SIAM Journal on Numerical Analysis
Article . 1978 . Peer-reviewed
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On the Spatial Differencing of the Discrete Ordinate Neutron Transport Equation

On the spatial differencing of the discrete ordinate neutron transport equation
Authors: Pitkäranta, Juhani;

On the Spatial Differencing of the Discrete Ordinate Neutron Transport Equation

Abstract

A family of discontinuous weighted-residual approximation methods are formulated for the spatial differencing of the discrete-ordinate neutron transport equation. Several known difference schemes are obtained as special cases of the approximation procedures considered. Estimates pertaining to the stability and convergence of a subclass of the methods are derived.

Keywords

Discontinuous Weighted-Residual Approximate Methods, Transport processes in time-dependent statistical mechanics, Discretization Schemes, Numerical methods for integral equations, Integro-partial differential equations, Variational methods applied to PDEs, Difference Equations, Discrete Ordinate Equation, Statistical mechanics of ferroelectrics, Numerical Methods, Neutron Transport, Convergence, Stability

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
14
Average
Top 10%
Average
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