Exponential convergence on a continuous Monte Carlo transport problem

Nuclear Science and Engineering

Volumn 127, Issue 3, 1997, Pages 338-345

  Booth, Thomas E ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000976078     PISSN: 00295639     EISSN: None     Source Type: Journal    
DOI: 10.13182/NSE97-A1939     Document Type: Article

References (16)

1. I. LUX and L. KOBLINGER, Monte Carlo Methods for Neutron and Photon Transport Calculations, p. 250. CRC Press, Boca Raton, Florida (1991).
2. G. GOERTZEL and M. H. KALOS, "Monte Carlo Methods in Transport Problems," Prog. Nucl. Energy, Ser. 1, 2, 315 (1958).
3. M. H. KALOS, F. R. NAKACHE, and J. CELNIK, "Monte Carlo Methods in Reactor Computations," in Computing Methods in Reactor Physics, H. GREENSPAN, C. N. KELBERT, and D. OKRENT, Eds., Gordon and Breach, New York (1968).
4. S. M. ERMAKOV, "Monte Carlo Method and Related Problems," Nauka, Moskow (1971) (in Russian); German edition: "Die Monte Carlo Methode und Verwandte Fragen," Oldenburg Verlag, Munchen (1975).
5. S. M. ERMAKOV, "Monte Carlo Method and Related Problems," Nauka, Moskow (1971) (in Russian); German edition: "Die Monte Carlo Methode und Verwandte Fragen," Oldenburg Verlag, Munchen (1975).
6. J. E. HOOGENBOOM, "Optimum Biasing of Integral Equations in Monte Carlo Calculations," Nucl. Sci. Eng., 70, 210 (1979).
7. S. R. DWIVEDI, "Zero Variance Biasing Schemes for Monte Carlo Calculations of Neutron and Radiation Transport Problems," Nucl. Sci. Eng., 80, 172 (1982).
8. H. C. GUPTA, "A Class of Zero-Variance Biasing Schemes for Monte Carlo Reaction Rate Estimators," Nucl. Sci. Eng., 83, 187 (1983).
9. T. E. BOOTH, "Zero-Variance Solutions for Linear Monte Carlo," Nucl. Sci. Eng., 102, 332 (1989).
10. T. E. BOOTH, "Exponential Convergence for Monte Carlo Particle Transport?" Trans. Am. Nucl. Soc., 50, 267 (1985).
11. C. KOLLMAN, "Rare Event Simulation in Radiation Transport," PhD Thesis, Stanford University (1994).
12. E. S. TROUBETZKOY, "Optimization of Linear Monte Carlo Calculations," Nucl. Sci. Eng., 107, 359 (1991).
13. J. H. HALTON, Proc. Camb. Phil. Soc., 58, 57 (1962).
14. T. E. BOOTH, "Analytic Score Distributions for a Spatially Continuous Tridirectional Monte Carlo Transport Problem," Nucl. Sci. Eng., 122, 79 (1996).
15. B. DAVISON, Neutron Transport Theory, pp. 157-166, Oxford at the Claredon Press (1957).
16. G. I. BELL and S. GLASSTONE, Nuclear Reactor Theory, p. 86, Litton Educational Publishing, Inc. (1970).