Koc, Birgul; Rubino, Samuele; Schneier, Michael; Singler, John; Iliescu, Traian On optimal pointwise in time error bounds and difference quotients for the proper orthogonal decomposition. (English) Zbl 1493.65154 SIAM J. Numer. Anal. 59, No. 4, 2163-2196 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M99 65F20 65M15 35K05 35Q79 PDFBibTeX XMLCite \textit{B. Koc} et al., SIAM J. Numer. Anal. 59, No. 4, 2163--2196 (2021; Zbl 1493.65154) 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
Gunzburger, M.; Iliescu, T.; Mohebujjaman, M.; Schneier, M. An evolve-filter-relax stabilized reduced order stochastic collocation method for the time-dependent Navier-Stokes equations. (English) Zbl 1428.65029 SIAM/ASA J. Uncertain. Quantif. 7, 1162-1184 (2019). MSC: 65M15 65M60 65M12 76D05 35Q30 65C30 PDFBibTeX XMLCite \textit{M. Gunzburger} et al., SIAM/ASA J. Uncertain. Quantif. 7, 1162--1184 (2019; Zbl 1428.65029) Full Text: DOI
Xie, X.; Mohebujjaman, M.; Rebholz, L. G.; Iliescu, T. Data-driven filtered reduced order modeling of fluid flows. (English) Zbl 1412.65158 SIAM J. Sci. Comput. 40, No. 3, B834-B857 (2018). MSC: 65M60 76F65 35Q35 65K10 PDFBibTeX XMLCite \textit{X. Xie} et al., SIAM J. Sci. Comput. 40, No. 3, B834--B857 (2018; Zbl 1412.65158) Full Text: DOI arXiv
Wang, Zhu; McBee, Brian; Iliescu, Traian Approximate partitioned method of snapshots for POD. (English) Zbl 1382.65108 J. Comput. Appl. Math. 307, 374-384 (2016). MSC: 65F15 65Y05 PDFBibTeX XMLCite \textit{Z. Wang} et al., J. Comput. Appl. Math. 307, 374--384 (2016; Zbl 1382.65108) Full Text: DOI
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
Caiazzo, Alfonso; Iliescu, Traian; John, Volker; Schyschlowa, Swetlana A numerical investigation of velocity-pressure reduced order models for incompressible flows. (English) Zbl 1349.76050 J. Comput. Phys. 259, 598-616 (2014). MSC: 76D05 76M10 PDFBibTeX XMLCite \textit{A. Caiazzo} et al., J. Comput. Phys. 259, 598--616 (2014; Zbl 1349.76050) Full Text: DOI
Iliescu, Traian; Wang, Zhu Variational multiscale proper orthogonal decomposition: convection-dominated convection-diffusion-reaction equations. (English) Zbl 1336.76017 Math. Comput. 82, No. 283, 1357-1378 (2013). MSC: 76F65 65M60 76D05 PDFBibTeX XMLCite \textit{T. Iliescu} and \textit{Z. Wang}, Math. Comput. 82, No. 283, 1357--1378 (2013; Zbl 1336.76017) 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