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Technical Papers

Calculating Time Eigenvalues of the Neutron Transport Equation with Dynamic Mode Decomposition

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Pages 854-867 | Received 25 Oct 2018, Accepted 28 Dec 2018, Published online: 11 Feb 2019

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Zachary K. Hardy & Jim E. Morel. (2024) Proper Orthogonal Decomposition Mode Coefficient Interpolation: A Non-Intrusive Reduced-Order Model for Parametric Reactor Kinetics. Nuclear Science and Engineering 198:4, pages 832-852.
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Ethan Smith, Ilham Variansyah & Ryan McClarren. (2023) Variable Dynamic Mode Decomposition for Estimating Time Eigenvalues in Nuclear Systems. Nuclear Science and Engineering 197:8, pages 1769-1778.
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Patrick Behne, Jan Vermaak & Jean Ragusa. (2023) Parametric Model-Order Reduction for Radiation Transport Simulations Based on an Affine Decomposition of the Operators. Nuclear Science and Engineering 197:2, pages 233-261.
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N. Abrate, M. Burrone, S. Dulla, P. Ravetto & P. Saracco. (2021) Eigenvalue Formulations for the P Approximation to the Neutron Transport Equation. Journal of Computational and Theoretical Transport 50:5, pages 407-429.
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Ilham Variansyah, Benjamin R. Betzler & William R. Martin. (2020) Multigroup Constant Calculation with Static α-Eigenvalue Monte Carlo for Time-Dependent Neutron Transport Simulations. Nuclear Science and Engineering 194:11, pages 1025-1043.
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Jeremy A. Roberts, Leidong Xu, Rabab Elzohery & Mohammad Abdo. (2019) Acceleration of the Power Method with Dynamic Mode Decomposition. Nuclear Science and Engineering 193:12, pages 1371-1378.
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Zachary K. Hardy, Jim E. Morel & Cory Ahrens. (2019) Dynamic Mode Decomposition for Subcritical Metal Systems. Nuclear Science and Engineering 193:11, pages 1173-1185.
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Articles from other publishers (16)

Jiaxing Wang, Bin Zhang, Shouhai Yang & Yixue Chen. (2024) Dynamic mode decomposition coupled with multilevel octree grid algorithm for large-scale discrete ordinates neutron transport calculations. Progress in Nuclear Energy 172, pages 105210.
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Nicolò Abrate, Sandra Dulla, Piero Ravetto & Paolo Saracco. (2024) Spectrum features of the eigenvalue formulations in neutron transport. Annals of Nuclear Energy 201, pages 110421.
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Wenhuai Li, Sitao Peng, Jinggang Li, Qingyun He, Tao Wang, Yijun Zhang, Haoliang Lu, Ting Wang & Peng Ding. (2024) Prediction of state transitions in 3D core dynamics and xenon transients based on dynamic mode decomposition. Annals of Nuclear Energy 197, pages 110258.
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R.G. Türeci. (2023) The critical slab problem with the Anlı-Güngör scattering function. Nuclear Engineering and Technology 55:8, pages 2864-2872.
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Kurt A. Dominesey & Wei Ji. (2023) Reduced-order modeling of neutron transport eigenvalue problems separated in energy by Proper Generalized Decomposition. Journal of Computational Physics 486, pages 112137.
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Bahram R. Maleki. (2023) Using the Monte Carlo method to solve the half-space and slab albedo problems with Inönü and Anlı-Güngör strongly anisotropic scattering functions. Nuclear Engineering and Technology 55:1, pages 324-329.
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Toshihiro Yamamoto & Hiroki Sakamoto. (2023) Dynamic mode decomposition for subcriticality measurement using measured data at single location. Annals of Nuclear Energy 180, pages 109480.
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Anthony L. Alberti, Todd S. Palmer & Camille J. Palmer. (2022) Proper orthogonal decomposition based reduced-order modeling of flux-Limited gray thermal radiation. Journal of Quantitative Spectroscopy and Radiative Transfer 292, pages 108345.
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Patrick Behne, Jan Vermaak & Jean C. Ragusa. (2022) Minimally-invasive parametric model-order reduction for sweep-based radiation transport. Journal of Computational Physics 469, pages 111525.
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Toshihiro Yamamoto, Xiuzhong Shen & Hiroki Sakamoto. (2022) Dynamic mode decomposition application to dominance ratio assessment in Monte Carlo k-eigenvalue calculation. Annals of Nuclear Energy 175, pages 109205.
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Toshihiro Yamamoto & Hiroki Sakamoto. (2022) Higher harmonic analyses of the Rossi-α method and application of dynamic mode decomposition for time decay constant determination in a 1D subcritical system. Annals of Nuclear Energy 168, pages 108886.
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Zhichao Peng, Yanlai Chen, Yingda Cheng & Fengyan Li. (2022) A Reduced Basis Method for Radiative Transfer Equation. Journal of Scientific Computing 91:1.
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Ryan G. McClarren & Terry S. Haut. (2022) Data-driven acceleration of thermal radiation transfer calculations with the dynamic mode decomposition and a sequential singular value decomposition. Journal of Computational Physics 448, pages 110756.
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Toshihiro Yamamoto & Hiroki Sakamoto. (2021) Application of dynamic mode decomposition to exponential experiment for spatial decay constant determination. Annals of Nuclear Energy 162, pages 108506.
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Youngsoo Choi, Peter Brown, William Arrighi, Robert Anderson & Kevin Huynh. (2021) Space–time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems. Journal of Computational Physics 424, pages 109845.
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Andrea Di Ronco, Carolina Introini, Eric Cervi, Stefano Lorenzi, Yeong Shin Jeong, Seok Bin Seo, In Cheol Bang, Francesca Giacobbo & Antonio Cammi. (2020) Dynamic mode decomposition for the stability analysis of the Molten Salt Fast Reactor core. Nuclear Engineering and Design 362, pages 110529.
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