Uniform Positive-Weight Quadratures for Discrete Ordinate Transport Calculations

Nuclear Science and Engineering

Volumn 131, Issue 2, 1999, Pages 199-207

  Carew, John F ^a   Zamonsky, Gabriel ^a  

^a BROOKHAVEN NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; INTEGRAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

BOLTZMANN TRANSPORT EQUATIONS; DISCRETE ORDINATES METHOD; POSITIVE WEIGHT QUADRATURES;

NUCLEAR PHYSICS;

EID: 0033079431     PISSN: 00295639     EISSN: None     Source Type: Journal    
DOI: 10.13182/NSE97-83     Document Type: Article

References (11)

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3. n Over the Unit Sphere," LA-4734, Los Alamos National Laboratory (July 1971).
4. C. F. GAUSS, "Methodus Nova Integralum Valores per Approximationem Inveniendi," Gauss Werke, Göttingen: Königlichen Gesellschaft der Wissenschaften, 3, 163 (1866); see also P. J. DAVIS and P. RABINOWITZ, "Abscissas and Weights for Gaussian Quadratures of High Order," J. Research National Bureau of Standards, 56, 35 (1956).
5. C. F. GAUSS, "Methodus Nova Integralum Valores per Approximationem Inveniendi," Gauss Werke, Göttingen: Königlichen Gesellschaft der Wissenschaften, 3, 163 (1866); see also P. J. DAVIS and P. RABINOWITZ, "Abscissas and Weights for Gaussian Quadratures of High Order," J. Research National Bureau of Standards, 56, 35 (1956).
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7. I. K. ABU-SHUMAYS, "Compatible Product Angular Quadrature for Neutron Transport in x-y Geometry," Nucl. Sci. Eng., 64, 299 (1977).
8. R. E. ALCOUFFE, R. S. BAKER, F. W. BRINKLEY, D. R. MARR, R. D. O'DELL, and W. F. WALTERS, "DANTSYS: A Diffusion Accelerated Neutral-Particle Transport Code System," LA-12969-M, Los Alamos National Laboratory (June 1995).
9. "DORT, Two-Dimensional Discrete Ordinates Transport Code," CCC-484, Radiation Shielding Information Center Computer Code Collection, Oak Ridge National Laboratory (1988).
10. K. D. LATHROP and F. W. BRINKLEY, "TWOTRAN-II, An Interfaced, Exportable Version of the TWOTRAN Code for Two-Dimensional Transport," LA-4848-MS, Los Alamos National Laboratory (July 1973).
11. R. D. O'DELL and R. E. ALCOUFFE, "Transport Calculations for Nuclear Analyses: Theory and Guidelines for Effective Use of Transport Codes," LA-10983-MS, Los Alamos National Laboratory (Sep. 1987).