Monte Carlo estimates of transport solutions to the isotropic slab problem

Nuclear Science and Engineering

Volumn 130, Issue 3, 1998, Pages 374-385

  Booth, Thomas E ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; DIFFUSION IN SOLIDS; MONTE CARLO METHODS; PARAMETER ESTIMATION; SCATTERING;

RADIATION TRANSPORT;

ELEMENTARY PARTICLES;

EID: 0032203242     PISSN: 00295639     EISSN: None     Source Type: Journal    
DOI: 10.13182/NSE98-A2013     Document Type: Article

References (11)

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2. C. KOLLMAN, K. BAGGERLY, D. COX, and R. PICARD, "Adaptive Importance Sampling on Discrete Markov Chains," LA-UR-96-3998, Los Alamos National Laboratory (accepted by Annals of Applied Probability).
3. E. W. LARSEN, "Completeness Results for Linear Operators in a Hilbert Space and Problems in Neutron Transport Theory," PhD Thesis, Department of Mathematics, Rensselaer Polytechnic Institute (1971).
4. K. M. CASE and P. F. ZWEIFEL, Linear Transport Theory, Addison-Wesley, Reading, Massachusetts (1967).
5. G. I. BELL and S. GLASSTONE, Nuclear Reactor Theory, Van Nostrand Reinhold Company (1970).
6. R. S. BURINGTON, Handbook of Mathematical Tables and Formulas, 4th ed., McGraw-Hill Book Company, New York.
7. N. J. McCORMICK and M. R. MENDELSON, "Transport Solution of the One-Speed Slab Albedo Problem," Nucl. Sci. Eng., 20, 462 (1964).
8. N. J. McCORMICK and I. KUSCER, "Singular Eigenfunction Expansions in Neutron Transport Theory," Advances in Nuclear Science and Technology, E. J. HENELEY and J. LEWINS, Eds., Vol. 7, pp. 181 and 182, Academic Press, New York and London (1973).
9. M. R. MENDELSON, "First Order Solutions of the One-Speed Transport Equation in Plane Multiregion Geometries," J. Math. Phys., 7, 2, 345 (1966).
10. R. ALCOUFFE, Los Alamos National Laboratory, Private Communication.
11. S. A. TURNER and E. W. LARSEN, "Automatic Variance Reduction for Three-Dimensional Monte Carlo Simulations by the Local Importance Function Transform - I: Analysis," Nucl. Sci. Eng., 127, 1, 22 (1977).