A posteriori error bounds for numerical solutions of the neutron transport equation
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- by Niel K. Madsen PDF
- Math. Comp. 27 (1973), 773-780 Request permission
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
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J. Arkuszewski, T. Kulikowska & J. Mika, "Effect of singularities on approximation in ${S_N}$ methods," Nuclear Sci. Engr., v. 49, 1972, pp. 20-26.
- B. Davison and J. B. Sykes, Neutron transport theory, Oxford, at the Clarendon Press, 1957. MR 0095716
- R. B. Kellogg, On the spectrum of an operator associated with the neutron transport equation, SIAM J. Appl. Math. 17 (1969), 162–171. MR 261813, DOI 10.1137/0117015 N. K. Madsen, Convergence of Difference Methods for the Linear Transport Equation, Doctoral Dissertation, University of Maryland, College Park, Maryland, 1969. M. Natelson, "A strategy for the application of space-angle synthesis to practical problems in neutron transport," Nuclear Sci.. Engr., v. 31, 1968, pp. 325-336. V. S. Vladimirov, Mathematical Problems in the One-Velocity Theory of Particle Transport, AECL-1661, Atomic Energy of Canada, Ltd., Chalk River, Ontario, 1963.
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Math. Comp. 27 (1973), 773-780
- MSC: Primary 82.65
- DOI: https://doi.org/10.1090/S0025-5718-1973-0327236-4
- MathSciNet review: 0327236