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Arcucci, Rossella; Xiao, Dunhui; Fang, Fangxin; Navon, Ionel Michael; Wu, Pin; Pain, Christopher C.; Guo, Yi-Ke A reduced order with data assimilation model: theory and practice. (English) Zbl 1521.76314 Comput. Fluids 257, Article ID 105862, 12 p. (2023). MSC: 76M10 65M60 62R07 76F50 PDFBibTeX XMLCite \textit{R. Arcucci} et al., Comput. Fluids 257, Article ID 105862, 12 p. (2023; Zbl 1521.76314) Full Text: DOI
Li, Kun; Huang, Ting-Zhu; Li, Liang; Zhao, Ying; Lanteri, Stéphane A non-intrusive model order reduction approach for parameterized time-domain Maxwell’s equations. (English) Zbl 1498.78046 Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 449-473 (2023). MSC: 78M34 78M10 65M60 65M99 65F20 78A25 60G15 62F15 35Q60 PDFBibTeX XMLCite \textit{K. Li} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 449--473 (2023; Zbl 1498.78046) Full Text: DOI
Lu, Qinghua; Wang, Li; Li, Longsuo Efficient uncertainty quantification of stochastic problems in CFD by combination of compressed sensing and POD-kriging. (English) Zbl 1507.76176 Comput. Methods Appl. Mech. Eng. 396, Article ID 115118, 29 p. (2022). MSC: 76M35 62M20 62M10 65C20 PDFBibTeX XMLCite \textit{Q. Lu} et al., Comput. Methods Appl. Mech. Eng. 396, Article ID 115118, 29 p. (2022; Zbl 1507.76176) Full Text: DOI
Albarakati, Aishah; Budišić, Marko; Crocker, Rose; Glass-Klaiber, Juniper; Iams, Sarah; Maclean, John; Marshall, Noah; Roberts, Colin; Van Vleck, Erik S. Model and data reduction for data assimilation: particle filters employing projected forecasts and data with application to a shallow water model. (English) Zbl 1524.62464 Comput. Math. Appl. 116, 194-211 (2022). MSC: 62M20 93E11 37N10 65C05 37M99 PDFBibTeX XMLCite \textit{A. Albarakati} et al., Comput. Math. Appl. 116, 194--211 (2022; Zbl 1524.62464) Full Text: DOI arXiv
Sarna, Neeraj; Benner, Peter Data-driven model order reduction for problems with parameter-dependent jump-discontinuities. (English) Zbl 1507.65210 Comput. Methods Appl. Mech. Eng. 387, Article ID 114168, 30 p. (2021). MSC: 65M99 60G15 62J02 PDFBibTeX XMLCite \textit{N. Sarna} and \textit{P. Benner}, Comput. Methods Appl. Mech. Eng. 387, Article ID 114168, 30 p. (2021; Zbl 1507.65210) Full Text: DOI arXiv
Popov, Andrey A.; Mou, Changhong; Sandu, Adrian; Iliescu, Traian A multifidelity ensemble Kalman filter with reduced order control variates. (English) Zbl 1467.62153 SIAM J. Sci. Comput. 43, No. 2, A1134-A1162 (2021). MSC: 62M20 62F15 65C05 65M60 62-08 PDFBibTeX XMLCite \textit{A. A. Popov} et al., SIAM J. Sci. Comput. 43, No. 2, A1134--A1162 (2021; Zbl 1467.62153) Full Text: DOI arXiv
Ma, Zhan; Pan, Wenxiao Data-driven nonintrusive reduced order modeling for dynamical systems with moving boundaries using Gaussian process regression. (English) Zbl 1506.65137 Comput. Methods Appl. Mech. Eng. 373, Article ID 113495, 25 p. (2021). MSC: 65M08 37M10 60G15 62G08 PDFBibTeX XMLCite \textit{Z. Ma} and \textit{W. Pan}, Comput. Methods Appl. Mech. Eng. 373, Article ID 113495, 25 p. (2021; Zbl 1506.65137) Full Text: DOI arXiv
Yang, Feng-Lian; Yan, Liang A non-intrusive reduced basis EKI for time fractional diffusion inverse problems. (English) Zbl 1431.65161 Acta Math. Appl. Sin., Engl. Ser. 36, No. 1, 183-202 (2020). MSC: 65M32 62F15 35R11 PDFBibTeX XMLCite \textit{F.-L. Yang} and \textit{L. Yan}, Acta Math. Appl. Sin., Engl. Ser. 36, No. 1, 183--202 (2020; Zbl 1431.65161) Full Text: DOI arXiv
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
Guo, Mengwu; Hesthaven, Jan S. Data-driven reduced order modeling for time-dependent problems. (English) Zbl 1440.62346 Comput. Methods Appl. Mech. Eng. 345, 75-99 (2019). MSC: 62M99 62F15 65M60 PDFBibTeX XMLCite \textit{M. Guo} and \textit{J. S. Hesthaven}, Comput. Methods Appl. Mech. Eng. 345, 75--99 (2019; Zbl 1440.62346) Full Text: DOI Link
Rao, Vishwas; Sandu, Adrian A time-parallel approach to strong-constraint four-dimensional variational data assimilation. (English) Zbl 1349.62455 J. Comput. Phys. 313, 583-593 (2016). MSC: 62M99 PDFBibTeX XMLCite \textit{V. Rao} and \textit{A. Sandu}, J. Comput. Phys. 313, 583--593 (2016; Zbl 1349.62455) Full Text: DOI arXiv