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Nuclear Science and Engineering Volume 183, 2016 - Issue 1
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Technical Paper

Improving the Accuracy of the Chebyshev Rational Approximation Method Using Substeps

Aarno IsotaloOak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831-6172;Aalto University, P.O. Box 14100, FI-00076 Aalto, Finland
&
Maria PusaVTT Technical Research Centre of Finland, P.O. Box 1000, FI-02044 VTT, Finland
Pages 65-77 | Published online: 13 May 2017

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Zack Taylor, Benjamin S. Collins & G. Ivan Maldonado. (2022) Exponential Time Differencing Schemes for Fuel Depletion and Transport in Molten Salt Reactors: Theory and Implementation. Nuclear Science and Engineering 196:5, pages 497-525.
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Anderson M. S. Alves, Adino Heimlich, Fernando Lamego & Celso M. F. Lapa. (2021) The Inventory and Source Term Simulation of the Argonaut Nuclear Reactor Inside a Severe Accident. Nuclear Technology 207:2, pages 316-322.
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Articles from other publishers (13)

Qingming He, Jie Li, Hanlin Shu, Liangzhi Cao, Hongchun Wu & Wei Shen. (2023) Particle-transport/depletion/activation/source-term coupling analysis for CFETR with NECP-MCX. Fusion Engineering and Design 188, pages 113399.
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P. Cosgrove & E. Shwageraus. (2022) Stability analysis of higher-order neutronics-depletion coupling schemes and Bateman operators. Journal of Computational Physics 448, pages 110702.
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E. F. Seleznev, Yu. Yu. Drobyshev, S. A. Karpov & I. R. Bukhtiyarov. (2022) Solution of the Equations of Nuclide Kinetics. Atomic Energy 130:5, pages 262-266.
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J. de Troullioud de Lanversin, M. Kütt & A. Glaser. (2021) ONIX: An open-source depletion code. Annals of Nuclear Energy 151, pages 107903.
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Olin Calvin, Sebastian Schunert & Barry Ganapol. (2021) Global error analysis of the Chebyshev rational approximation method. Annals of Nuclear Energy 150, pages 107828.
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O. Ashraf & G.V. Tikhomirov. (2020) Thermal-and fast-spectrum molten salt reactors for minor actinides transmutation. Annals of Nuclear Energy 148, pages 107751.
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O. Ashraf, Andrei Rykhlevskii, G.V. Tikhomirov & Kathryn D. Huff. (2020) Strategies for thorium fuel cycle transition in the SD-TMSR. Annals of Nuclear Energy 148, pages 107656.
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O. Ashraf, Andrei Rykhlevskii, G.V. Tikhomirov & Kathryn D. Huff. (2020) Whole core analysis of the single-fluid double-zone thorium molten salt reactor (SD-TMSR). Annals of Nuclear Energy 137, pages 107115.
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Kai Huang, Xuedong Fu, Yangjun Ying & Shengdong Zhu. (2020) Variable coefficient depletion equations – Reference solution based on Rational Approximation Methods. Annals of Nuclear Energy 135, pages 106909.
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Xuezhong Li & Jiejin Cai. (2018) A new Krylov subspace method based on rational approximation to solve stiff burnup equation. Annals of Nuclear Energy 118, pages 99-106.
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A. Heimlich, F.C. Silva & A.S. Martinez. (2018) Fast and accurate GPU PWR depletion calculation. Annals of Nuclear Energy 117, pages 165-174.
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David P. Griesheimer, David C. Carpenter & Mark H. Stedry. (2017) Practical techniques for large-scale Monte Carlo reactor depletion calculatons. Progress in Nuclear Energy 101, pages 409-423.
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Qingming He, Jie Li, Liangzhi Cao, Hongchun Wu & Wei Shen. (2022) Particle-transport/depletion/activation/source-term coupling analysis for CFETR with NECP-MCX. SSRN Electronic Journal.
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