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
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
Abbaszadeh, Mostafa; Kalhor, Yasmin; Dehghan, Mehdi; Donatelli, Marco A reduced-order model based on cubic B-spline basis function and SSP Runge-Kutta procedure to investigate option pricing under jump-diffusion models. (English) Zbl 1521.91384 Eng. Anal. Bound. Elem. 150, 154-166 (2023). MSC: 91G60 65M75 65D07 91G20 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Eng. Anal. Bound. Elem. 150, 154--166 (2023; Zbl 1521.91384) Full Text: DOI
Dehghan, Mehdi; Hooshyarfarzin, Baharak; Abbaszadeh, Mostafa Radial basis function partition of unity procedure combined with the reduced-order method for solving Zakharov-Rubenchik equations. (English) Zbl 07789075 Eng. Anal. Bound. Elem. 145, 93-116 (2022). MSC: 35C08 35L05 35G20 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Eng. Anal. Bound. Elem. 145, 93--116 (2022; Zbl 07789075) Full Text: DOI
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
Ebrahimijahan, Ali; Dehghan, Mehdi; Abbaszadeh, Mostafa Simulation of Maxwell equation based on an ADI approach and integrated radial basis function-generalized moving least squares (IRBF-GMLS) method with reduced order algorithm based on proper orthogonal decomposition. (English) Zbl 1521.78016 Eng. Anal. Bound. Elem. 143, 397-417 (2022). MSC: 78M10 65M70 35D35 65D12 78A25 86A10 PDFBibTeX XMLCite \textit{A. Ebrahimijahan} et al., Eng. Anal. Bound. Elem. 143, 397--417 (2022; Zbl 1521.78016) Full Text: DOI
Mohammadi, Vahid; Dehghan, Mehdi A POD-RBF-FD scheme for simulating chemotaxis models on surfaces. (English) Zbl 1521.92008 Eng. Anal. Bound. Elem. 143, 316-330 (2022). MSC: 92-08 65M06 35Q35 35Q92 65D12 92C17 PDFBibTeX XMLCite \textit{V. Mohammadi} and \textit{M. Dehghan}, Eng. Anal. Bound. Elem. 143, 316--330 (2022; Zbl 1521.92008) Full Text: DOI
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
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
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
Abbaszadeh, Mostafa; Dehghan, Mehdi Simulation flows with multiple phases and components via the radial basis functions-finite difference (RBF-FD) procedure: Shan-Chen model. (English) Zbl 1464.65081 Eng. Anal. Bound. Elem. 119, 151-161 (2020). MSC: 65M06 65D12 65M70 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Eng. Anal. Bound. Elem. 119, 151--161 (2020; Zbl 1464.65081) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi Reduced order modeling of time-dependent incompressible Navier-Stokes equation with variable density based on a local radial basis functions-finite difference (LRBF-FD) technique and the POD/DEIM method. (English) Zbl 1442.65287 Comput. Methods Appl. Mech. Eng. 364, Article ID 112914, 28 p. (2020). MSC: 65M70 65D12 76D05 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Comput. Methods Appl. Mech. Eng. 364, Article ID 112914, 28 p. (2020; Zbl 1442.65287) Full Text: DOI
Xiao, D. Error estimation of the parametric non-intrusive reduced order model using machine learning. (English) Zbl 1441.62081 Comput. Methods Appl. Mech. Eng. 355, 513-534 (2019). MSC: 62F15 62G05 62-08 PDFBibTeX XMLCite \textit{D. Xiao}, Comput. Methods Appl. Mech. Eng. 355, 513--534 (2019; Zbl 1441.62081) 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
Xiao, D.; Fang, F.; Pain, C. C.; Navon, I. M. A parameterized non-intrusive reduced order model and error analysis for general time-dependent nonlinear partial differential equations and its applications. (English) Zbl 1439.65124 Comput. Methods Appl. Mech. Eng. 317, 868-889 (2017). MSC: 65M60 PDFBibTeX XMLCite \textit{D. Xiao} et al., Comput. Methods Appl. Mech. Eng. 317, 868--889 (2017; Zbl 1439.65124) Full Text: DOI Link
Xiao, D.; Yang, P.; Fang, F.; Xiang, J.; Pain, C. C.; Navon, I. M.; Chen, M. A non-intrusive reduced-order model for compressible fluid and fractured solid coupling and its application to blasting. (English) Zbl 1378.74067 J. Comput. Phys. 330, 221-244 (2017). MSC: 74S05 76M10 74R99 PDFBibTeX XMLCite \textit{D. Xiao} et al., J. Comput. Phys. 330, 221--244 (2017; Zbl 1378.74067) Full Text: DOI Link
Dehghan, Mehdi; Abbaszadeh, Mostafa Proper orthogonal decomposition variational multiscale element free Galerkin (POD-VMEFG) meshless method for solving incompressible Navier-Stokes equation. (English) Zbl 1439.76060 Comput. Methods Appl. Mech. Eng. 311, 856-888 (2016). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Comput. Methods Appl. Mech. Eng. 311, 856--888 (2016; Zbl 1439.76060) Full Text: DOI
Xiao, D.; Yang, P.; Fang, F.; Xiang, J.; Pain, C. C.; Navon, I. M. Non-intrusive reduced order modelling of fluid-structure interactions. (English) Zbl 1425.74167 Comput. Methods Appl. Mech. Eng. 303, 35-54 (2016). MSC: 74F10 76M10 76D05 PDFBibTeX XMLCite \textit{D. Xiao} et al., Comput. Methods Appl. Mech. Eng. 303, 35--54 (2016; Zbl 1425.74167) Full Text: DOI