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Nuclear Science and Engineering Volume 167, 2011 - Issue 2
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Technical Paper

Newton’s Method for Solving k-Eigenvalue Problems in Neutron Diffusion Theory

Daniel F. GillThe Pennsylvania State University, University Park, Pennsylvania 16802
&
Yousry Y. AzmyNorth Carolina State University, Department of Nuclear Engineering Raleigh, North Carolina 27695
Pages 141-153 | Published online: 10 Apr 2017

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Xiafeng Zhou & Fu Li. (2018) Jacobian-Free Newton-Krylov Nodal Expansion Methods with Physics-Based Preconditioner and Local Elimination for Three-Dimensional and Multigroup k-Eigenvalue Problems. Nuclear Science and Engineering 190:3, pages 238-257.
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Dmitriy Y. Anistratov. (2013) Multilevel NDA Methods for Solving Multigroup Eigenvalue Neutron Transport Problems. Nuclear Science and Engineering 174:2, pages 150-162.
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H. Park, D. A. Knoll & C. K. Newman. (2012) Nonlinear Acceleration of Transport Criticality Problems. Nuclear Science and Engineering 172:1, pages 52-65.
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Dmitriy Y. Anistratov & Vladimir Ya. Gol’din. (2011) Multilevel Quasidiffusion Methods for Solving Multigroup Neutron Transport k-Eigenvalue Problems in One-Dimensional Slab Geometry. Nuclear Science and Engineering 169:2, pages 111-132.
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Daniel F. Gill, Yousry Y. Azmy, James S. Warsa & Jeffery D. Densmore. (2011) Newton’s Method for the Computation of k-Eigenvalues in S Transport Applications. Nuclear Science and Engineering 168:1, pages 37-58.
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D. A. Knoll, H. Park & C. Newman. (2011) Acceleration of k-Eigenvalue/Criticality Calculations Using the Jacobian-Free Newton-Krylov Method. Nuclear Science and Engineering 167:2, pages 133-140.
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