Mou, Changhong; Chen, Nan; Iliescu, Traian An efficient data-driven multiscale stochastic reduced order modeling framework for complex systems. (English) Zbl 07748041 J. Comput. Phys. 493, Article ID 112450, 30 p. (2023). MSC: 76Mxx 76Fxx 65Mxx PDFBibTeX XMLCite \textit{C. Mou} et al., J. Comput. Phys. 493, Article ID 112450, 30 p. (2023; Zbl 07748041) 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
Ahmed, Shady E.; San, Omer; Rasheed, Adil; Iliescu, Traian A long short-term memory embedding for hybrid uplifted reduced order models. (English) Zbl 1505.76071 Physica D 409, Article ID 132471, 16 p. (2020). MSC: 76M99 76D05 76D99 68T05 PDFBibTeX XMLCite \textit{S. E. Ahmed} et al., Physica D 409, Article ID 132471, 16 p. (2020; Zbl 1505.76071) Full Text: DOI arXiv
San, Omer; Iliescu, Traian A stabilized proper orthogonal decomposition reduced-order model for large scale quasigeostrophic ocean circulation. (English) Zbl 1327.37028 Adv. Comput. Math. 41, No. 5, 1289-1319 (2015). MSC: 37N10 76M25 76F20 76D99 PDFBibTeX XMLCite \textit{O. San} and \textit{T. Iliescu}, Adv. Comput. Math. 41, No. 5, 1289--1319 (2015; Zbl 1327.37028) Full Text: DOI arXiv
Wang, Zhu; Akhtar, Imran; Borggaard, Jeff; Iliescu, Traian Proper orthogonal decomposition closure models for turbulent flows: a numerical comparison. (English) Zbl 1253.76050 Comput. Methods Appl. Mech. Eng. 237-240, 10-26 (2012). MSC: 76F65 PDFBibTeX XMLCite \textit{Z. Wang} et al., Comput. Methods Appl. Mech. Eng. 237--240, 10--26 (2012; Zbl 1253.76050) Full Text: DOI arXiv
Borggaard, Jeff; Iliescu, Traian; Wang, Zhu Artificial viscosity proper orthogonal decomposition. (English) Zbl 1211.76077 Math. Comput. Modelling 53, No. 1-2, 269-279 (2011). MSC: 76M25 65M15 76F65 PDFBibTeX XMLCite \textit{J. Borggaard} et al., Math. Comput. Modelling 53, No. 1--2, 269--279 (2011; Zbl 1211.76077) Full Text: DOI
Wang, Z.; Akhtar, I.; Borggaard, J.; Iliescu, T. Two-level discretizations of nonlinear closure models for proper orthogonal decomposition. (English) Zbl 1427.76226 J. Comput. Phys. 230, No. 1, 126-146 (2011). MSC: 76M99 76F99 PDFBibTeX XMLCite \textit{Z. Wang} et al., J. Comput. Phys. 230, No. 1, 126--146 (2011; Zbl 1427.76226) Full Text: DOI