Dominesey, Kurt A.; Ji, Wei Reduced-order modeling of neutron transport eigenvalue problems separated in energy by proper generalized decomposition. (English) Zbl 07788140 J. Comput. Phys. 486, Article ID 112137, 20 p. (2023). MSC: 65Mxx 65Fxx 65Nxx PDFBibTeX XMLCite \textit{K. A. Dominesey} and \textit{W. Ji}, J. Comput. Phys. 486, Article ID 112137, 20 p. (2023; Zbl 07788140) Full Text: DOI
Bertrand, Fleurianne; Boffi, Daniele; Halim, Abdul Data-driven reduced order modeling for parametric PDE eigenvalue problems using Gaussian process regression. (English) Zbl 07766241 J. Comput. Phys. 495, Article ID 112503, 28 p. (2023). MSC: 65Nxx 65Mxx 35Pxx PDFBibTeX XMLCite \textit{F. Bertrand} et al., J. Comput. Phys. 495, Article ID 112503, 28 p. (2023; Zbl 07766241) Full Text: DOI arXiv
Halvic, Ian; Ragusa, Jean C. Non-intrusive model order reduction for parametric radiation transport simulations. (English) Zbl 07742890 J. Comput. Phys. 492, Article ID 112385, 21 p. (2023). MSC: 65Nxx 65-XX 65Cxx PDFBibTeX XMLCite \textit{I. Halvic} and \textit{J. C. Ragusa}, J. Comput. Phys. 492, Article ID 112385, 21 p. (2023; Zbl 07742890) Full Text: DOI
Yang, Qihong; Deng, Yangtao; Yang, Yu; He, Qiaolin; Zhang, Shiquan Neural networks based on power method and inverse power method for solving linear eigenvalue problems. (English) Zbl 07741346 Comput. Math. Appl. 147, 14-24 (2023). MSC: 65N25 68Txx 68T05 68T07 65L12 PDFBibTeX XMLCite \textit{Q. Yang} et al., Comput. Math. Appl. 147, 14--24 (2023; Zbl 07741346) Full Text: DOI arXiv
Bertrand, Fleurianne; Boffi, Daniele; Halim, Abdul A reduced order model for the finite element approximation of eigenvalue problems. (English) Zbl 07644830 Comput. Methods Appl. Mech. Eng. 404, Article ID 115696, 26 p. (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{F. Bertrand} et al., Comput. Methods Appl. Mech. Eng. 404, Article ID 115696, 26 p. (2023; Zbl 07644830) Full Text: DOI arXiv
Hughes, Alexander C.; Buchan, Andrew G. An adaptive reduced order model for the angular discretization of the Boltzmann transport equation using independent basis sets over a partitioning of the space-angle domain. (English) Zbl 07768052 Int. J. Numer. Methods Eng. 123, No. 16, 3781-3799 (2022). MSC: 65Nxx 82Cxx 35Jxx PDFBibTeX XMLCite \textit{A. C. Hughes} and \textit{A. G. Buchan}, Int. J. Numer. Methods Eng. 123, No. 16, 3781--3799 (2022; Zbl 07768052) Full Text: DOI OA License
Behne, Patrick; Vermaak, Jan; Ragusa, Jean C. Minimally-invasive parametric model-order reduction for sweep-based radiation transport. (English) Zbl 07592130 J. Comput. Phys. 469, Article ID 111525, 18 p. (2022). MSC: 65Nxx 65-XX 65Mxx PDFBibTeX XMLCite \textit{P. Behne} et al., J. Comput. Phys. 469, Article ID 111525, 18 p. (2022; Zbl 07592130) Full Text: DOI
Dominesey, Kurt A.; Ji, Wei Reduced-order modeling of neutron transport separated in energy by proper generalized decomposition with applications to nuclear reactor physics. (English) Zbl 07524761 J. Comput. Phys. 449, Article ID 110744, 40 p. (2022). MSC: 65Nxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{K. A. Dominesey} and \textit{W. Ji}, J. Comput. Phys. 449, Article ID 110744, 40 p. (2022; Zbl 07524761) Full Text: DOI
Cavaliere, F.; Zlotnik, S.; Sevilla, R.; Larrayoz, X.; Díez, P. Nonintrusive parametric solutions in structural dynamics. (English) Zbl 1507.74456 Comput. Methods Appl. Mech. Eng. 389, Article ID 114336, 22 p. (2022). MSC: 74S05 65M60 65M50 70J10 PDFBibTeX XMLCite \textit{F. Cavaliere} et al., Comput. Methods Appl. Mech. Eng. 389, Article ID 114336, 22 p. (2022; Zbl 1507.74456) Full Text: DOI
Choi, Youngsoo; Brown, Peter; Arrighi, William; Anderson, Robert; Huynh, Kevin Space-time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems. (English) Zbl 07508450 J. Comput. Phys. 424, Article ID 109845, 23 p. (2021). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{Y. Choi} et al., J. Comput. Phys. 424, Article ID 109845, 23 p. (2021; Zbl 07508450) Full Text: DOI arXiv
Georgaka, Sokratia; Stabile, Giovanni; Star, Kelbij; Rozza, Gianluigi; Bluck, Michael J. A hybrid reduced order method for modelling turbulent heat transfer problems. (English) Zbl 1502.65087 Comput. Fluids 208, Article ID 104615, 13 p. (2020). MSC: 65M08 65D12 76D05 PDFBibTeX XMLCite \textit{S. Georgaka} et al., Comput. Fluids 208, Article ID 104615, 13 p. (2020; Zbl 1502.65087) Full Text: DOI arXiv
Alsayyari, Fahad; Perkó, Zoltán; Lathouwers, Danny; Kloosterman, Jan Leen A nonintrusive reduced order modelling approach using proper orthogonal decomposition and locally adaptive sparse grids. (English) Zbl 1453.65029 J. Comput. Phys. 399, Article ID 108912, 25 p. (2019). MSC: 65D05 82D75 PDFBibTeX XMLCite \textit{F. Alsayyari} et al., J. Comput. Phys. 399, Article ID 108912, 25 p. (2019; Zbl 1453.65029) Full Text: DOI Link
Hannukainen, Antti; Malinen, Jarmo; Ojalammi, Antti Efficient solution of symmetric eigenvalue problems from families of coupled systems. (English) Zbl 1420.65048 SIAM J. Numer. Anal. 57, No. 4, 1789-1814 (2019). MSC: 65F15 PDFBibTeX XMLCite \textit{A. Hannukainen} et al., SIAM J. Numer. Anal. 57, No. 4, 1789--1814 (2019; Zbl 1420.65048) Full Text: DOI arXiv
Argaud, J.-P.; Bouriquet, B.; de Caso, F.; Gong, H.; Maday, Y.; Mula, O. Sensor placement in nuclear reactors based on the generalized empirical interpolation method. (English) Zbl 1392.82075 J. Comput. Phys. 363, 354-370 (2018). MSC: 82D75 65D05 35B30 PDFBibTeX XMLCite \textit{J. P. Argaud} et al., J. Comput. Phys. 363, 354--370 (2018; Zbl 1392.82075) Full Text: DOI Link
Buchan, A. G.; Calloo, A. A.; Goffin, M. G.; Dargaville, S.; Fang, F.; Pain, C. C.; Navon, I. M. A POD reduced order model for resolving angular direction in neutron/photon transport problems. (English) Zbl 1352.82030 J. Comput. Phys. 296, 138-157 (2015). MSC: 82D75 82C80 35Q20 45K05 65N30 PDFBibTeX XMLCite \textit{A. G. Buchan} et al., J. Comput. Phys. 296, 138--157 (2015; Zbl 1352.82030) Full Text: DOI