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Nuclear Science and Engineering Volume 147, 2004 - Issue 2
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Technical Paper

Convergence Analysis of the Nonlinear Coarse-Mesh Finite Difference Method for One-Dimensional Fixed-Source Neutron Diffusion Problem

Deokjung LeePurdue University, School of Nuclear Engineering, West Lafayette, Indiana 47907-1290
,
Thomas J. DownarPurdue University, School of Nuclear Engineering, West Lafayette, Indiana 47907-1290
&
Yonghee KimKorea Atomic Energy Research Institute, 150 Deokjin-dong, Yusong-gu, Daejeon 305-353 Korea
Pages 127-147 | Published online: 10 Apr 2017

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Yoshiki Oshima, Tomohiro Endo, Akio Yamamoto, Yasuhiro Kodama, Yasunori Ohoka & Hiroaki Nagano. (2020) Impact of Various Parameters on Convergence Performance of CMFD Acceleration for MOC in Multigroup Heterogeneous Geometry. Nuclear Science and Engineering 194:6, pages 477-491.
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Ang Zhu, Yunlin Xu & Thomas Downar. (2017) Fourier Convergence Analysis of the Infinite Homogenous Multigroup Time-Dependent Boltzmann Transport Equation Using Discrete Ordinates Formulation. Nuclear Science and Engineering 186:1, pages 23-36.
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Emily R. Wolters. (2013) Impact of Dynamic Condensation of Energy Groups on Convergence Behavior of One-Node CMFD Method for Neutron Diffusion Problem. Nuclear Science and Engineering 174:3, pages 300-317.
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Deokjung Lee. (2012) Convergence analysis of coarse mesh finite difference method applied to two-group three-dimensional neutron diffusion problem. Journal of Nuclear Science and Technology 49:9, pages 926-936.
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Ser Gi Hong, Kang-Seog Kim & Jae Seung Song. (2010) Fourier Convergence Analysis of the Rebalance Methods for Discrete Ordinates Transport Equations in Eigenvalue Problems. Nuclear Science and Engineering 164:1, pages 33-52.
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Joo Il YOON & Han Gyu JOO. (2008) Two-Level Coarse Mesh Finite Difference Formulation with Multigroup Source Expansion Nodal Kernels. Journal of Nuclear Science and Technology 45:7, pages 668-682.
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Hyun Chul Lee, Jae Man Noh, Hyung Kook Joo, Deokjung Lee & Thomas J. Downar. (2007) Fourier Convergence Analysis of Two-Dimensional/One-Dimensional Coupling Methods for the Three-Dimensional Neutron Diffusion Eigenvalue Problems. Nuclear Science and Engineering 156:1, pages 74-85.
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Hyun Chul Lee, Deokjung Lee & Thomas J. Downar. (2005) Iterative Two- and One-Dimensional Methods for Three-Dimensional Neutron Diffusion Calculations. Nuclear Science and Engineering 151:1, pages 46-54.
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