Pawar, Suraj; San, Omer; Rasheed, Adil; Vedula, Prakash Frame invariant neural network closures for Kraichnan turbulence. (English) Zbl 07642772 Physica A 609, Article ID 128327, 19 p. (2023). MSC: 82-XX PDFBibTeX XMLCite \textit{S. Pawar} et al., Physica A 609, Article ID 128327, 19 p. (2023; Zbl 07642772) 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
Huang, Juntao; Cheng, Yingda; Christlieb, Andrew J.; Roberts, Luke F. Machine learning moment closure models for the radiative transfer equation. I: Directly learning a gradient based closure. (English) Zbl 1522.65143 J. Comput. Phys. 453, Article ID 110941, 21 p. (2022). MSC: 65M06 65L06 65N06 85A25 80A21 68Q32 68T07 68T09 82C70 35R09 35Q20 PDFBibTeX XMLCite \textit{J. Huang} et al., J. Comput. Phys. 453, Article ID 110941, 21 p. (2022; Zbl 1522.65143) Full Text: DOI arXiv
Peng, Zhichao; Chen, Yanlai; Cheng, Yingda; Li, Fengyan A reduced basis method for radiative transfer equation. (English) Zbl 1493.65162 J. Sci. Comput. 91, No. 1, Paper No. 5, 27 p. (2022). MSC: 65M60 65N30 65K10 65N12 35R09 45K05 35Q49 82D75 PDFBibTeX XMLCite \textit{Z. Peng} et al., J. Sci. Comput. 91, No. 1, Paper No. 5, 27 p. (2022; Zbl 1493.65162) 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
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
Zhang, Dingkang; Rahnema, Farzad The adjoint coarse mesh transport (COMET) method and reciprocity relation of response coefficients. (English) Zbl 07503237 J. Comput. Theor. Transp. 45, No. 7, 578-593 (2016). MSC: 82-XX PDFBibTeX XMLCite \textit{D. Zhang} and \textit{F. Rahnema}, J. Comput. Theor. Transp. 45, No. 7, 578--593 (2016; Zbl 07503237) Full Text: DOI
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
Goffin, Mark A.; Buchan, Andrew G.; Dargaville, Steven; Pain, Christopher C.; Smith, Paul N.; Smedley-Stevenson, Richard P. Goal-based angular adaptivity applied to a wavelet-based discretisation of the neutral particle transport equation. (English) Zbl 1351.82066 J. Comput. Phys. 281, 1032-1062 (2015). MSC: 82C70 82C80 45K05 65N30 PDFBibTeX XMLCite \textit{M. A. Goffin} et al., J. Comput. Phys. 281, 1032--1062 (2015; Zbl 1351.82066) Full Text: DOI
Buchan, A. G.; Pain, C. C.; Fang, F.; Navon, I. M. A POD reduced-order model for eigenvalue problems with application to reactor physics. (English) Zbl 1352.82018 Int. J. Numer. Methods Eng. 95, No. 12, 1011-1032 (2013). MSC: 82C80 65N25 82D75 PDFBibTeX XMLCite \textit{A. G. Buchan} et al., Int. J. Numer. Methods Eng. 95, No. 12, 1011--1032 (2013; Zbl 1352.82018) Full Text: DOI
Goffin, Mark A.; Baker, Christopher M. J.; Buchan, Andrew G.; Pain, Christopher C.; Eaton, Matthew D.; Smith, Paul N. Minimising the error in eigenvalue calculations involving the Boltzmann transport equation using goal-based adaptivity on unstructured meshes. (English) Zbl 1311.82041 J. Comput. Phys. 242, 726-752 (2013). MSC: 82C80 65M60 82C40 82D75 PDFBibTeX XMLCite \textit{M. A. Goffin} et al., J. Comput. Phys. 242, 726--752 (2013; Zbl 1311.82041) Full Text: DOI Link