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• W1990599963 abstract "We prove a regularity result for a Fredholm integral equation with weakly singular kernel, arising in connection with the neutron transport equation in an infinite cylindrical domain. The theorem states that the solution has almost two derivatives in L 1 , and is proved using Besov space techniques. This result is applied in the error analysis of the discrete ordinates method for the numerical solution of the neutron transport equation. We derive an error estimate in the L 1 -norm for the scalar flux, and as a consequence, we obtain an error bound for the critical eigenvalue." @default.
• W1990599963 created "2016-06-24" @default.
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• W1990599963 date "1992-09-01" @default.
• W1990599963 modified "2023-09-27" @default.
• W1990599963 title "THE DISCRETE ORDINATES METHOD FOR THE NEUTRON TRANSPORT EQUATION IN AN INFINITE CYLINDRICAL DOMAIN" @default.
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• W1990599963 doi "https://doi.org/10.1142/s021820259200020x" @default.
• W1990599963 hasPublicationYear "1992" @default.
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