On the convergence of the multigroup, discrete-ordinates solutions for subcritical transport media

DOI10.1007/BF01762394zbMath0678.65098MaRDI QIDQ1124308

Edward J. Allen, Harold Dean jun. Victory

Publication date: 1988

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

convergenceconsistencymulti-group, discrete ordinates-approximationssubcritical transport mediatwo-dimensional transport equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70)

Cites Work

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• Convergence of two-dimensional Nyström discrete-ordinates, in solving the linear transport equation
• Convergence of the multigroup approximations for subcritical slab media with applications to shielding calculations
• On the convergence of the multigroup approximations for multidimensional media
• Some extension theorems for continuous functions
• Error Estimates for the Combined Spatial and Angular Approximations of the Transport Equation for Slab Geometry
• A finite element approach for treating the energy variable in the numerical solution of the neutron transport equation
• Convergence Properties of Discrete-Ordinates Solutions for Neutron Transport in Three-Dimensional Media
• On the convergence of the multigroup approximations for submultiplying slab media
• On the compactness of the space 𝐿_{𝑝}
• Convex Analysis

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