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- W2005415094 abstract "The convergence of discrete-ordinates approximations under various assumptions on cross-section and source data has been shown in different function spaces by Anselone, Keller, Wendroff, Nestell, Madsen, Nelson, and Victory. For the establishment of the convergence theory of discrete-ordinates methods in higher spatial dimensions, we develop in this paper an approximation theory for a certain class of operators - p-order quasi-collectively compact operators - naturally arising in conjunction with the transport equation. The theory developed in this paper is applied to proving that the critical parameter and critical flux computed by discrete-ordinate methods do converge to the corresponding quantities for the undiscretized, three-dimensional transport equation." @default.
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- W2005415094 date "1981-01-01" @default.
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- W2005415094 title "Approximation theory for a certain class of operators and some of their applications to transport theory" @default.
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- W2005415094 doi "https://doi.org/10.1016/0149-1970(81)90021-4" @default.
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