Convergence of the multigroup approximations for subcritical slab media with applications to shielding calculations

DOI10.1016/0196-8858(84)90009-5zbMath0572.65116OpenAlexW2043071683MaRDI QIDQ1062441

Harold Dean jun. Victory

Publication date: 1984

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(84)90009-5

zbMATH Keywords

stabilityconvergenceBanach spacemultigroup approximationneutral particle transport equationsubcritical slab media

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70) Numerical solutions to equations with linear operators (65J10)

Related Items (3)

A finite element approach for treating the energy variable in the numerical solution of the neutron transport equation ⋮ On the convergence of the multigroup, discrete-ordinates solutions for subcritical transport media ⋮ Modern Monte Carlo Variants for Uncertainty Quantification in Neutron Transport

Cites Work

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• Theoretical Properties of One-Dimensional Discrete Ordinates
• On the convergence of the multigroup approximations for submultiplying slab media
• On the compactness of the space 𝐿_{𝑝}

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