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A posteriori error bounds for numerical solutions of the neutron transport equation

Author: Niel K. Madsen
Journal: Math. Comp. 27 (1973), 773-780
MSC: Primary 82.65
MathSciNet review: 0327236
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Abstract: The theory and application of a method for computing rigorous a posteriori error bounds for numerical solutions to time-independent neutron transport problems are presented. The bounds are obtained for the $ {L_2}$ and $ {L_1}$ norms of the error function.

References [Enhancements On Off] (What's this?)

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  • [3] R. B. Kellogg, "On the spectrum of an operator associated with the neutron transport equation," SIAM J. Appl. Math., v. 17, 1969, pp. 162-171. MR 41 #6425. MR 0261813 (41:6425)
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Keywords: A posteriori error bounds, neutron transport equation, linear Boltzmann equation, computable error bounds, $ {L_2}$ error bounds, $ {L_1}$ error bounds, x-y geometry
Article copyright: © Copyright 1973 American Mathematical Society

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