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Technical Note

Highly Efficient, Exact Quadratures for Three-Dimensional Discrete Ordinates Transport Calculations

Pages 98-101 | Published online: 13 May 2017

REFERENCES

  • G. C. WICK, “Über ebene diffusion probleme,” Z. Phys., 121, 702 (1943).
  • S. CHANDRASEKHAR, “On the Radiative Equilibrium of a Stellar Atmosphere II,” Astrophys. J., 100, 76 (1944).
  • B. G. CARLSON and C. E. LEE, “Mechanical Quadrature and the Transport Equation,” LA-2573, Los Alamos Scientific Laboratory (1961).
  • E. E. LEWIS and W. F. MILLER, Computational Methods of Neutron Transport, John Wiley and Sons (1985).
  • E. W. LARSEN and J. E. MOREL, Nuclear Computational Science:A Century in Review, Springer, New York (2010).
  • D. S. RICHESON, Euler’s Gem: The Polyhedron For-mula and the Birth of Topology, Princeton University Press (2008).
  • S. L. SOBOLEV, “Cubature Formulas on the Sphere In-variant Under Finite Groups of Rotations,” Dok. Akad. Nauk SSSR, 146, 310 (1962).
  • V. I. LEBEDEV, “Quadratures on a Sphere,” Zh. Vychisl. Mat. Mat. Fiz., 16, 293 (1976).
  • C. AHRENS and G. BEYLKIN, “Rotationally Invariant Quadratures for the Sphere,” Proc. R. Soc. (London) Ser. A, 465, 3103 (2009).
  • W. A. RHOADES and R. L. CHILDS, “The TORT Three-Dimensional Discrete Ordinates Neutron/Photon Transport Code,” TM-13221, Oak Ridge National Laboratory (1997).
  • N. K. MADSEN, “Pointwise Convergence of the Three-Dimensional Discrete Ordinate Method,” SIAM J. Numer. Anal., 8, 266 (1971).
  • L. C. GROVE and C. J. BENSON, Finite Reflection Groups, Springer, New York (1985).
  • A. D. McLAREN, “Optimal Numerical Integration on Sphere,” Math. Comput., 17, 361 (1963).

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