Damiano, Lombardi State estimation in nonlinear parametric time dependent systems using tensor train. (English) Zbl 07769317 Int. J. Numer. Methods Eng. 123, No. 20, 4935-4956 (2022). MSC: 65-XX 41-XX PDFBibTeX XMLCite \textit{L. Damiano}, Int. J. Numer. Methods Eng. 123, No. 20, 4935--4956 (2022; Zbl 07769317) 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
Siripatana, A.; Giraldi, L.; Le Maître, O. P.; Knio, O. M.; Hoteit, I. Combining ensemble Kalman filter and multiresolution analysis for efficient assimilation into adaptive mesh models. (English) Zbl 1427.65232 Comput. Geosci. 23, No. 6, 1259-1276 (2019). MSC: 65M50 PDFBibTeX XMLCite \textit{A. Siripatana} et al., Comput. Geosci. 23, No. 6, 1259--1276 (2019; Zbl 1427.65232) Full Text: DOI HAL
Kikuchi, Ryota; Misaka, Takashi; Obayashi, Shigeru International journal of computational fluid dynamics real-time prediction of unsteady flow based on POD reduced-order model and particle filter. (English) Zbl 07516894 Int. J. Comput. Fluid Dyn. 30, No. 4, 285-306 (2016). MSC: 76-XX 83-XX PDFBibTeX XMLCite \textit{R. Kikuchi} et al., Int. J. Comput. Fluid Dyn. 30, No. 4, 285--306 (2016; Zbl 07516894) Full Text: DOI
Buchan, A. G.; Calloo, A. A.; Goffin, M. G.; Dargaville, S.; Fang, F.; Pain, C. C.; Navon, I. M. A POD reduced order model for resolving angular direction in neutron/photon transport problems. (English) Zbl 1352.82030 J. Comput. Phys. 296, 138-157 (2015). MSC: 82D75 82C80 35Q20 45K05 65N30 PDFBibTeX XMLCite \textit{A. G. Buchan} et al., J. Comput. Phys. 296, 138--157 (2015; Zbl 1352.82030) Full Text: DOI
Ştefănescu, R.; Sandu, A.; Navon, I. M. POD/DEIM reduced-order strategies for efficient four dimensional variational data assimilation. (English) Zbl 1349.76535 J. Comput. Phys. 295, 569-595 (2015). MSC: 76M20 65M06 65M32 76B15 90C90 PDFBibTeX XMLCite \textit{R. Ştefănescu} et al., J. Comput. Phys. 295, 569--595 (2015; Zbl 1349.76535) Full Text: DOI arXiv
Luo, Zhendong A POD-based reduced-order finite difference extrapolating model for the non-stationary incompressible Boussinesq equations. (English) Zbl 1343.76031 Adv. Difference Equ. 2014, Paper No. 272, 18 p. (2014). MSC: 76M20 65M12 65M15 PDFBibTeX XMLCite \textit{Z. Luo}, Adv. Difference Equ. 2014, Paper No. 272, 18 p. (2014; Zbl 1343.76031) Full Text: DOI
Walton, S.; Hassan, O.; Morgan, K. Reduced order modelling for unsteady fluid flow using proper orthogonal decomposition and radial basis functions. (English) Zbl 1426.76576 Appl. Math. Modelling 37, No. 20-21, 8930-8945 (2013). MSC: 76M25 76G25 PDFBibTeX XMLCite \textit{S. Walton} et al., Appl. Math. Modelling 37, No. 20--21, 8930--8945 (2013; Zbl 1426.76576) Full Text: DOI
Fang, F.; Pain, C. C.; Navon, I. M.; Cacuci, D. G.; Chen, X. The independent set perturbation method for efficient computation of sensitivities with applications to data assimilation and a finite element shallow water model. (English) Zbl 1391.76322 Comput. Fluids 76, 33-49 (2013). MSC: 76M10 76B15 PDFBibTeX XMLCite \textit{F. Fang} et al., Comput. Fluids 76, 33--49 (2013; Zbl 1391.76322) Full Text: DOI
Altaf, M. U.; El Gharamti, M.; Heemink, A. W.; Hoteit, I. A reduced adjoint approach to variational data assimilation. (English) Zbl 1297.93053 Comput. Methods Appl. Mech. Eng. 254, 1-13 (2013). MSC: 93B30 90C52 PDFBibTeX XMLCite \textit{M. U. Altaf} et al., Comput. Methods Appl. Mech. Eng. 254, 1--13 (2013; Zbl 1297.93053) Full Text: DOI
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
Zokagoa, Jean-Marie; Soulaïmani, Azzeddine A POD-based reduced-order model for free surface shallow water flows over real bathymetries for Monte-Carlo-type applications. (English) Zbl 1253.76070 Comput. Methods Appl. Mech. Eng. 221-222, 1-23 (2012). MSC: 76M12 PDFBibTeX XMLCite \textit{J.-M. Zokagoa} and \textit{A. Soulaïmani}, Comput. Methods Appl. Mech. Eng. 221--222, 1--23 (2012; Zbl 1253.76070) Full Text: DOI
Altaf, M. U.; Verlaan, M.; Heemink, A. W. Efficient identification of uncertain parameters in a large-scale tidal model of the European continental shelf by proper orthogonal decomposition. (English) Zbl 1243.86001 Int. J. Numer. Methods Fluids 68, No. 4, 422-450 (2012). MSC: 86-08 86A05 PDFBibTeX XMLCite \textit{M. U. Altaf} et al., Int. J. Numer. Methods Fluids 68, No. 4, 422--450 (2012; Zbl 1243.86001) Full Text: DOI
Cotter, S. L.; Dashti, M.; Stuart, A. M. Variational data assimilation using targetted random walks. (English) Zbl 1426.76629 Int. J. Numer. Methods Fluids 68, No. 4, 403-421 (2012). MSC: 76M35 76M30 76D07 PDFBibTeX XMLCite \textit{S. L. Cotter} et al., Int. J. Numer. Methods Fluids 68, No. 4, 403--421 (2012; Zbl 1426.76629) Full Text: DOI Link
Chen, X.; Akella, S.; Navon, I. M. A dual-weighted trust-region adaptive POD 4-D var applied to a finite-volume shallow water equations model on the sphere. (English) Zbl 1426.76347 Int. J. Numer. Methods Fluids 68, No. 3, 377-402 (2012). MSC: 76M12 76U05 86A05 PDFBibTeX XMLCite \textit{X. Chen} et al., Int. J. Numer. Methods Fluids 68, No. 3, 377--402 (2012; Zbl 1426.76347) Full Text: DOI
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
Kaleta, Małgorzata P.; Hanea, Remus G.; Heemink, Arnold W.; Jansen, Jan-Dirk Model-reduced gradient-based history matching. (English) Zbl 1209.86003 Comput. Geosci. 15, No. 1, 135-153 (2011). MSC: 86-08 PDFBibTeX XMLCite \textit{M. P. Kaleta} et al., Comput. Geosci. 15, No. 1, 135--153 (2011; Zbl 1209.86003) Full Text: DOI
Chen, X.; Navon, I. M.; Fang, F. A dual-weighted trust-region adaptive POD 4D-VAR applied to a finite-element shallow-water equations model. (English) Zbl 1428.76145 Int. J. Numer. Methods Fluids 65, No. 5, 520-541 (2011). MSC: 76M21 76M10 35Q35 PDFBibTeX XMLCite \textit{X. Chen} et al., Int. J. Numer. Methods Fluids 65, No. 5, 520--541 (2011; Zbl 1428.76145) 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
Ghadimi, Parviz; Faizi Chekab, Mohammad A.; Maleki, Farzam Safarzadeh A novel approach to node distribution for 2D mesh generation and its application in marine and ocean engineering. (English) Zbl 1201.65033 Adv. Eng. Softw. 41, No. 10-11, 1149-1159 (2010). MSC: 65D18 65N30 65N50 PDFBibTeX XMLCite \textit{P. Ghadimi} et al., Adv. Eng. Softw. 41, No. 10--11, 1149--1159 (2010; Zbl 1201.65033) Full Text: DOI
Fang, F.; Pain, C. C.; Navon, I. M.; Gorman, G. J.; Piggott, M. D.; Allison, P. A.; Goddard, A. J. H. A POD goal-oriented error measure for mesh optimization. (English) Zbl 1425.65096 Int. J. Numer. Methods Fluids 63, No. 2, 185-206 (2010). MSC: 65M15 65M50 86A05 PDFBibTeX XMLCite \textit{F. Fang} et al., Int. J. Numer. Methods Fluids 63, No. 2, 185--206 (2010; Zbl 1425.65096) Full Text: DOI