
doi: 10.1137/0715056
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.
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
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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