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Original Articles

Convergence of discrete ordinates iteration scheme

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Pages 353-372 | Received 12 Oct 1984, Published online: 19 Aug 2006

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Read on this site (4)

Paul Nelson & James Jeffery. (1988) On the Application of Runge-Kutta Methods to Transport Calculations. Nuclear Science and Engineering 100:3, pages 237-247.
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HerbertB. Keller & Paul Nelson. (1988) Closed linear one-cell functional spatial approximations: Consistency implies convergence and stability. Transport Theory and Statistical Physics 17:2-3, pages 191-208.
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V. Sundararaman & M.A. Prasad. (1988) Analysis of global errors in discrete ordinate approximations to tee transport equation in slab geometry. Transport Theory and Statistical Physics 17:1, pages 71-92.
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Articles from other publishers (7)

Guang-wei Yuan, Zhi-jun Shen & Long-jun Shen. (2003) Convergence of inner iterations scheme of the discrete ordinate method for neutron transport equations. Applied Mathematics and Computation 138:1, pages 121-125.
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Anurag Gupta & R.S. Modak. (2002) On the use of the conjugate gradient method for the solution of the neutron transport equation. Annals of Nuclear Energy 29:16, pages 1933-1951.
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R.S. Modak, D.C. Sahni & S.D. Paranjape. (1995) Evaluation of higher K-rmeigenvalues of the neutron transport equation by Sn-method. Annals of Nuclear Energy 22:6, pages 359-366.
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G. Donald Allen. 1994. Advances in Optimization and Numerical Analysis. Advances in Optimization and Numerical Analysis 219 232 .
Paul Nelson & David S. Ek. (1993) LOCFES — a program for automatic determination of the order of spatial approximations in one-dimensional particle transport. Computer Physics Communications 74:1, pages 91-118.
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P. Nelson. (1987) Closed linear one-cell functional spatial approximations. Annals of Nuclear Energy 14:4, pages 177-191.
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Paul Nelson. (1986) Convergence of Inner Iterations for Finite-Difference Approximations to the Linear Transport Equation. SIAM Journal on Numerical Analysis 23:5, pages 1017-1022.
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