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Nuclear Science and Engineering Volume 168, 2011 - Issue 1
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Technical Paper

Newton’s Method for the Computation of k-Eigenvalues in SN Transport Applications

Daniel F. GillThe Pennsylvania State University, University Park, Pennsylvania 16802
,
Yousry Y. AzmyNorth Carolina State University, Department of Nuclear Engineering Raleigh, North Carolina 27695
,
James S. WarsaLos Alamos National Laboratory, Computational Physics and Methods Group Los Alamos, New Mexico 87545
&
Jeffery D. DensmoreLos Alamos National Laboratory, Computational Physics and Methods Group Los Alamos, New Mexico 87545
Pages 37-58 | Published online: 12 May 2017

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Guangchun Zhang, Albert Hsieh, Won Sik Yang & Yeon Sang Jung. (2019) Consistent pCMFD Acceleration Schemes of the Three-Dimensional Transport Code PROTEUS-MOC. Nuclear Science and Engineering 193:8, pages 828-853.
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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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Jeremy A. Roberts, Matthew S. Everson & Benoit Forget. (2015) On the Convergence of the Eigenvalue Response Matrix Method. Nuclear Science and Engineering 181:3, pages 331-341.
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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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