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
DeCaria, Victor; Iliescu, Traian; Layton, William; McLaughlin, Michael; Schneier, Michael An artificial compression reduced order model. (English) Zbl 1434.76064 SIAM J. Numer. Anal. 58, No. 1, 565-589 (2020). MSC: 76M10 65M12 65M15 65M60 76D05 PDFBibTeX XMLCite \textit{V. DeCaria} et al., SIAM J. Numer. Anal. 58, No. 1, 565--589 (2020; Zbl 1434.76064) Full Text: DOI arXiv
Zerfas, Camille; Rebholz, Leo G.; Schneier, Michael; Iliescu, Traian Continuous data assimilation reduced order models of fluid flow. (English) Zbl 1442.65006 Comput. Methods Appl. Mech. Eng. 357, Article ID 112596, 18 p. (2019). MSC: 65C99 76D05 PDFBibTeX XMLCite \textit{C. Zerfas} et al., Comput. Methods Appl. Mech. Eng. 357, Article ID 112596, 18 p. (2019; Zbl 1442.65006) 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
Gunzburger, Max; Jiang, Nan; Schneier, Michael An ensemble-proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. (English) Zbl 1394.76067 SIAM J. Numer. Anal. 55, No. 1, 286-304 (2017). MSC: 76M10 65M60 65M15 76D05 PDFBibTeX XMLCite \textit{M. Gunzburger} et al., SIAM J. Numer. Anal. 55, No. 1, 286--304 (2017; Zbl 1394.76067) Full Text: DOI arXiv