Huang, Cheng; Duraisamy, Karthik Predictive reduced order modeling of chaotic multi-scale problems using adaptively sampled projections. (English) Zbl 07771273 J. Comput. Phys. 491, Article ID 112356, 31 p. (2023). MSC: 65Mxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{C. Huang} and \textit{K. Duraisamy}, J. Comput. Phys. 491, Article ID 112356, 31 p. (2023; Zbl 07771273) Full Text: DOI arXiv
Nguyen, Ngoc Cuong; Peraire, Jaime Efficient and accurate nonlinear model reduction via first-order empirical interpolation. (English) Zbl 07766226 J. Comput. Phys. 494, Article ID 112512, 19 p. (2023). MSC: 65Nxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{N. C. Nguyen} and \textit{J. Peraire}, J. Comput. Phys. 494, Article ID 112512, 19 p. (2023; Zbl 07766226) Full Text: DOI arXiv
Nekkanti, Akhil; Schmidt, Oliver T. Gappy spectral proper orthogonal decomposition. (English) Zbl 07660325 J. Comput. Phys. 478, Article ID 111950, 19 p. (2023). MSC: 76Fxx 76Mxx 76-XX PDFBibTeX XMLCite \textit{A. Nekkanti} and \textit{O. T. Schmidt}, J. Comput. Phys. 478, Article ID 111950, 19 p. (2023; Zbl 07660325) Full Text: DOI arXiv
Introini, Carolina; Cavalleri, Simone; Lorenzi, Stefano; Riva, Stefano; Cammi, Antonio Stabilization of generalized empirical interpolation method (GEIM) in presence of noise: a novel approach based on Tikhonov regularization. (English) Zbl 07644846 Comput. Methods Appl. Mech. Eng. 404, Article ID 115773, 37 p. (2023). MSC: 92-XX 93-XX PDFBibTeX XMLCite \textit{C. Introini} et al., Comput. Methods Appl. Mech. Eng. 404, Article ID 115773, 37 p. (2023; Zbl 07644846) Full Text: DOI
Paris, Romain; Beneddine, Samir; Dandois, Julien Reinforcement-learning-based actuator selection method for active flow control. (English) Zbl 1507.76055 J. Fluid Mech. 955, Paper No. A8, 34 p. (2023). MSC: 76D55 76M22 76M20 76M99 PDFBibTeX XMLCite \textit{R. Paris} et al., J. Fluid Mech. 955, Paper No. A8, 34 p. (2023; Zbl 1507.76055) Full Text: DOI arXiv
Iollo, Angelo; Sambataro, Giulia; Taddei, Tommaso An adaptive projection-based model reduction method for nonlinear mechanics with internal variables: application to thermo-hydro-mechanical systems. (English) Zbl 07767890 Int. J. Numer. Methods Eng. 123, No. 12, 2894-2918 (2022). MSC: 65Nxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{A. Iollo} et al., Int. J. Numer. Methods Eng. 123, No. 12, 2894--2918 (2022; Zbl 07767890) Full Text: DOI arXiv
Li, Xi; Luo, Yan; Feng, Minfu An efficient Chorin-Temam projection proper orthogonal decomposition based reduced-order model for nonstationary Stokes equations. (English) Zbl 1503.65239 J. Sci. Comput. 93, No. 3, Paper No. 64, 26 p. (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76D07 76M10 35Q30 PDFBibTeX XMLCite \textit{X. Li} et al., J. Sci. Comput. 93, No. 3, Paper No. 64, 26 p. (2022; Zbl 1503.65239) Full Text: DOI arXiv
Kumar, Yash; Bahl, Pranav; Chakraborty, Souvik State estimation with limited sensors – a deep learning based approach. (English) Zbl 1515.76035 J. Comput. Phys. 457, Article ID 111081, 22 p. (2022). MSC: 76B75 68T07 PDFBibTeX XMLCite \textit{Y. Kumar} et al., J. Comput. Phys. 457, Article ID 111081, 22 p. (2022; Zbl 1515.76035) Full Text: DOI arXiv
Mendible, Ariana; Lowrie, Weston; Brunton, Steven L.; Kutz, J. Nathan Data-driven modeling of two-dimensional detonation wave fronts. (English) Zbl 1524.76202 Wave Motion 109, Article ID 102879, 17 p. (2022). MSC: 76L05 35Q31 78M34 PDFBibTeX XMLCite \textit{A. Mendible} et al., Wave Motion 109, Article ID 102879, 17 p. (2022; Zbl 1524.76202) Full Text: DOI arXiv
Cohen, Albert; Dahmen, Wolfgang; Mula, Olga; Nichols, James Nonlinear reduced models for state and parameter estimation. (English) Zbl 1482.65170 SIAM/ASA J. Uncertain. Quantif. 10, 227-267 (2022). MSC: 65M32 65M12 PDFBibTeX XMLCite \textit{A. Cohen} et al., SIAM/ASA J. Uncertain. Quantif. 10, 227--267 (2022; Zbl 1482.65170) Full Text: DOI arXiv
Dutta, Sourav; Farthing, Matthew W.; Perracchione, Emma; Savant, Gaurav; Putti, Mario A greedy non-intrusive reduced order model for shallow water equations. (English) Zbl 07512322 J. Comput. Phys. 439, Article ID 110378, 30 p. (2021). MSC: 41Axx 65Dxx 76Mxx PDFBibTeX XMLCite \textit{S. Dutta} et al., J. Comput. Phys. 439, Article ID 110378, 30 p. (2021; Zbl 07512322) Full Text: DOI arXiv
Zucatti, Victor; Wolf, William; Bergmann, Michel Calibration of projection-based reduced-order models for unsteady compressible flows. (English) Zbl 1515.76134 J. Comput. Phys. 433, Article ID 110196, 28 p. (2021). MSC: 76N99 76M99 65M60 PDFBibTeX XMLCite \textit{V. Zucatti} et al., J. Comput. Phys. 433, Article ID 110196, 28 p. (2021; Zbl 1515.76134) Full Text: DOI arXiv
Zucatti, Victor; Wolf, William Data-driven closure of projection-based reduced order models for unsteady compressible flows. (English) Zbl 1507.76131 Comput. Methods Appl. Mech. Eng. 386, Article ID 114120, 29 p. (2021). MSC: 76M10 65M60 76N15 PDFBibTeX XMLCite \textit{V. Zucatti} and \textit{W. Wolf}, Comput. Methods Appl. Mech. Eng. 386, Article ID 114120, 29 p. (2021; Zbl 1507.76131) Full Text: DOI arXiv
Onori, Michel; Hills, Nicholas J. Reduced order modelling for a rotor-stator cavity using proper orthogonal decomposition. (English) Zbl 1521.76357 Comput. Fluids 216, Article ID 104818, 18 p. (2021). MSC: 76M10 65M60 76F65 76U05 PDFBibTeX XMLCite \textit{M. Onori} and \textit{N. J. Hills}, Comput. Fluids 216, Article ID 104818, 18 p. (2021; Zbl 1521.76357) Full Text: DOI
Abdedou, Azzedine; Soulaïmani, Azzeddine A non-intrusive reduced-order modeling for uncertainty propagation of time-dependent problems using a B-splines Bézier elements-based method and proper orthogonal decomposition: application to dam-break flows. (English) Zbl 1524.76130 Comput. Math. Appl. 102, 187-205 (2021). MSC: 76D05 65N30 76M10 65M60 PDFBibTeX XMLCite \textit{A. Abdedou} and \textit{A. Soulaïmani}, Comput. Math. Appl. 102, 187--205 (2021; Zbl 1524.76130) Full Text: DOI arXiv
Mons, Vincent; Marquet, Olivier Linear and nonlinear sensor placement strategies for mean-flow reconstruction via data assimilation. (English) Zbl 1502.76054 J. Fluid Mech. 923, Paper No. A1, 39 p. (2021). MSC: 76F99 76M30 76-10 PDFBibTeX XMLCite \textit{V. Mons} and \textit{O. Marquet}, J. Fluid Mech. 923, Paper No. A1, 39 p. (2021; Zbl 1502.76054) Full Text: DOI
Bannenberg, M. W. F. M.; Ciccazzo, A.; Günther, M. Reduced order multirate schemes for coupled differential-algebraic systems. (English) Zbl 1468.65090 Appl. Numer. Math. 168, 104-114 (2021). MSC: 65L80 PDFBibTeX XMLCite \textit{M. W. F. M. Bannenberg} et al., Appl. Numer. Math. 168, 104--114 (2021; Zbl 1468.65090) Full Text: DOI Link
Yano, Masayuki Model reduction in computational aerodynamics. (English) Zbl 1477.65249 Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 201-236 (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N35 35Q30 35Q35 76G25 76N06 76N15 76M10 76M15 PDFBibTeX XMLCite \textit{M. Yano}, in: Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 201--236 (2021; Zbl 1477.65249) Full Text: DOI
Benaceur, Amina Reducing sensors for transient heat transfer problems by means of variational data assimilation. (English) Zbl 1466.65042 SMAI J. Comput. Math. 7, 1-25 (2021). MSC: 65K10 49M41 PDFBibTeX XMLCite \textit{A. Benaceur}, SMAI J. Comput. Math. 7, 1--25 (2021; Zbl 1466.65042) Full Text: DOI
Chan, Jesse Entropy stable reduced order modeling of nonlinear conservation laws. (English) Zbl 07508408 J. Comput. Phys. 423, Article ID 109789, 27 p. (2020). MSC: 35-XX 76-XX PDFBibTeX XMLCite \textit{J. Chan}, J. Comput. Phys. 423, Article ID 109789, 27 p. (2020; Zbl 07508408) Full Text: DOI arXiv
Pérez, José Miguel; Le Clainche, Soledad; Vega, José Manuel Reconstruction of three-dimensional flow fields from two-dimensional data. (English) Zbl 07504710 J. Comput. Phys. 407, Article ID 109239, 20 p. (2020). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{J. M. Pérez} et al., J. Comput. Phys. 407, Article ID 109239, 20 p. (2020; Zbl 07504710) Full Text: DOI
Cho, Haeseong; Shin, Sangjoon; Kim, Haedong; Cho, Maenghyo Enhanced model-order reduction approach via online adaptation for parametrized nonlinear structural problems. (English) Zbl 1490.74121 Comput. Mech. 65, No. 2, 331-353 (2020). MSC: 74S99 74S05 74K99 PDFBibTeX XMLCite \textit{H. Cho} et al., Comput. Mech. 65, No. 2, 331--353 (2020; Zbl 1490.74121) Full Text: DOI
Erichson, N. Benjamin; Mathelin, Lionel; Yao, Zhewei; Brunton, Steven L.; Mahoney, Michael W.; Kutz, J. Nathan Shallow neural networks for fluid flow reconstruction with limited sensors. (English) Zbl 1472.68172 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2238, Article ID 20200097, 25 p. (2020). MSC: 68T07 76M99 PDFBibTeX XMLCite \textit{N. B. Erichson} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2238, Article ID 20200097, 25 p. (2020; Zbl 1472.68172) Full Text: DOI arXiv Link
Peherstorfer, Benjamin; Drmač, Zlatko; Gugercin, Serkan Stability of discrete empirical interpolation and gappy proper orthogonal decomposition with randomized and deterministic sampling points. (English) Zbl 1453.65287 SIAM J. Sci. Comput. 42, No. 5, A2837-A2864 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65M22 65F25 65M99 65D05 PDFBibTeX XMLCite \textit{B. Peherstorfer} et al., SIAM J. Sci. Comput. 42, No. 5, A2837--A2864 (2020; Zbl 1453.65287) Full Text: DOI arXiv
Hou, Yunsen; Liu, Cheng; Hu, Haiyan Component-level proper orthogonal decomposition for flexible multibody systems. (English) Zbl 1442.70005 Comput. Methods Appl. Mech. Eng. 361, Article ID 112690, 25 p. (2020). MSC: 70E55 65L60 70-08 PDFBibTeX XMLCite \textit{Y. Hou} et al., Comput. Methods Appl. Mech. Eng. 361, Article ID 112690, 25 p. (2020; Zbl 1442.70005) Full Text: DOI
Yu, Jian; Yan, Chao; Jiang, Zhenhua; Yuan, Wu; Chen, Shusheng Adaptive non-intrusive reduced order modeling for compressible flows. (English) Zbl 1453.76118 J. Comput. Phys. 397, Article ID 108855, 27 p. (2019). MSC: 76M12 65M08 68T05 35B30 76N15 PDFBibTeX XMLCite \textit{J. Yu} et al., J. Comput. Phys. 397, Article ID 108855, 27 p. (2019; Zbl 1453.76118) Full Text: DOI
Carlberg, Kevin T.; Jameson, Antony; Kochenderfer, Mykel J.; Morton, Jeremy; Peng, Liqian; Witherden, Freddie D. Recovering missing CFD data for high-order discretizations using deep neural networks and dynamics learning. (English) Zbl 1452.68147 J. Comput. Phys. 395, 105-124 (2019). MSC: 68T05 68T07 76M10 PDFBibTeX XMLCite \textit{K. T. Carlberg} et al., J. Comput. Phys. 395, 105--124 (2019; Zbl 1452.68147) Full Text: DOI arXiv
Freno, Brian A.; Carlberg, Kevin T. Machine-learning error models for approximate solutions to parameterized systems of nonlinear equations. (English) Zbl 1440.65058 Comput. Methods Appl. Mech. Eng. 348, 250-296 (2019). MSC: 65H10 68T05 PDFBibTeX XMLCite \textit{B. A. Freno} and \textit{K. T. Carlberg}, Comput. Methods Appl. Mech. Eng. 348, 250--296 (2019; Zbl 1440.65058) Full Text: DOI arXiv
Aretz-Nellesen, Nicole; Grepl, Martin A.; Veroy, Karen 3D-VAR for parameterized partial differential equations: a certified reduced basis approach. (English) Zbl 1434.49019 Adv. Comput. Math. 45, No. 5-6, 2369-2400 (2019). MSC: 49K20 65K10 65M15 65M60 PDFBibTeX XMLCite \textit{N. Aretz-Nellesen} et al., Adv. Comput. Math. 45, No. 5--6, 2369--2400 (2019; Zbl 1434.49019) Full Text: DOI arXiv
Stabile, Giovanni; Ballarin, Francesco; Zuccarino, Giacomo; Rozza, Gianluigi A reduced order variational multiscale approach for turbulent flows. (English) Zbl 1435.65165 Adv. Comput. Math. 45, No. 5-6, 2349-2368 (2019). MSC: 65M60 65M06 65N30 65N12 76D05 76F65 PDFBibTeX XMLCite \textit{G. Stabile} et al., Adv. Comput. Math. 45, No. 5--6, 2349--2368 (2019; Zbl 1435.65165) Full Text: DOI arXiv
Nachar, Stéphane; Boucard, Pierre-Alain; Néron, David; Bordeu, Felipe Coupling multi-fidelity Kriging and model-order reduction for the construction of virtual charts. (English) Zbl 1468.74088 Comput. Mech. 64, No. 6, 1685-1697 (2019). MSC: 74S99 74C10 PDFBibTeX XMLCite \textit{S. Nachar} et al., Comput. Mech. 64, No. 6, 1685--1697 (2019; Zbl 1468.74088) Full Text: DOI HAL
Mendez, M. A.; Balabane, M.; Buchlin, J.-M. Multi-scale proper orthogonal decomposition of complex fluid flows. (English) Zbl 1419.76003 J. Fluid Mech. 870, 988-1036 (2019). MSC: 76-04 76M25 PDFBibTeX XMLCite \textit{M. A. Mendez} et al., J. Fluid Mech. 870, 988--1036 (2019; Zbl 1419.76003) Full Text: DOI arXiv
Manohar, Krithika; Kaiser, Eurika; Brunton, Steven L.; Kutz, J. Nathan Optimized sampling for multiscale dynamics. (English) Zbl 07033871 Multiscale Model. Simul. 17, No. 1, 117-136 (2019). MSC: 65T99 37M10 37N10 62K99 PDFBibTeX XMLCite \textit{K. Manohar} et al., Multiscale Model. Simul. 17, No. 1, 117--136 (2019; Zbl 07033871) Full Text: DOI arXiv
Herzog, Roland; Riedel, Ilka; Uciński, Dariusz Optimal sensor placement for joint parameter and state estimation problems in large-scale dynamical systems with applications to thermo-mechanics. (English) Zbl 1507.93226 Optim. Eng. 19, No. 3, 591-627 (2018). MSC: 93E10 74P10 93B51 PDFBibTeX XMLCite \textit{R. Herzog} et al., Optim. Eng. 19, No. 3, 591--627 (2018; Zbl 1507.93226) Full Text: DOI
Le Guennec, Y.; Brunet, J.-P.; Daim, F.-Z.; Chau, M.; Tourbier, Y. A parametric and non-intrusive reduced order model of car crash simulation. (English) Zbl 1440.74298 Comput. Methods Appl. Mech. Eng. 338, 186-207 (2018). MSC: 74P15 74S99 65K05 90C05 90C90 PDFBibTeX XMLCite \textit{Y. Le Guennec} et al., Comput. Methods Appl. Mech. Eng. 338, 186--207 (2018; Zbl 1440.74298) Full Text: DOI HAL
Rim, Donsub; Moe, Scott; LeVeque, Randall J. Transport reversal for model reduction of hyperbolic partial differential equations. (English) Zbl 1398.65084 SIAM/ASA J. Uncertain. Quantif. 6, 118-150 (2018). MSC: 65F30 65M08 78M34 PDFBibTeX XMLCite \textit{D. Rim} et al., SIAM/ASA J. Uncertain. Quantif. 6, 118--150 (2018; Zbl 1398.65084) Full Text: DOI arXiv
Sargsyan, Syuzanna; Brunton, Steven L.; Kutz, J. Nathan Online interpolation point refinement for reduced-order models using a genetic algorithm. (English) Zbl 1383.65123 SIAM J. Sci. Comput. 40, No. 1, B283-B304 (2018). MSC: 65M55 35Q30 35Q56 PDFBibTeX XMLCite \textit{S. Sargsyan} et al., SIAM J. Sci. Comput. 40, No. 1, B283--B304 (2018; Zbl 1383.65123) Full Text: DOI arXiv
Kaiser, Eurika; Morzyński, Marek; Daviller, Guillaume; Kutz, J. Nathan; Brunton, Bingni W.; Brunton, Steven L. Sparsity enabled cluster reduced-order models for control. (English) Zbl 1375.76075 J. Comput. Phys. 352, 388-409 (2018). MSC: 76F70 68T05 PDFBibTeX XMLCite \textit{E. Kaiser} et al., J. Comput. Phys. 352, 388--409 (2018; Zbl 1375.76075) Full Text: DOI arXiv
Lozovskiy, Alexander; Farthing, Matthew; Kees, Chris Evaluation of Galerkin and Petrov-Galerkin model reduction for finite element approximations of the shallow water equations. (English) Zbl 1439.76086 Comput. Methods Appl. Mech. Eng. 318, 537-571 (2017). MSC: 76M10 65M60 76B15 PDFBibTeX XMLCite \textit{A. Lozovskiy} et al., Comput. Methods Appl. Mech. Eng. 318, 537--571 (2017; Zbl 1439.76086) Full Text: DOI
Ghavamian, F.; Tiso, P.; Simone, A. POD-DEIM model order reduction for strain-softening viscoplasticity. (English) Zbl 1439.74073 Comput. Methods Appl. Mech. Eng. 317, 458-479 (2017). MSC: 74C10 74S05 PDFBibTeX XMLCite \textit{F. Ghavamian} et al., Comput. Methods Appl. Mech. Eng. 317, 458--479 (2017; Zbl 1439.74073) Full Text: DOI
Elman, Howard C.; Forstall, Virginia Numerical solution of the parameterized steady-state Navier-Stokes equations using empirical interpolation methods. (English) Zbl 1439.76064 Comput. Methods Appl. Mech. Eng. 317, 380-399 (2017). MSC: 76M10 65N30 76D05 PDFBibTeX XMLCite \textit{H. C. Elman} and \textit{V. Forstall}, Comput. Methods Appl. Mech. Eng. 317, 380--399 (2017; Zbl 1439.76064) Full Text: DOI arXiv
Semaan, R. Optimal sensor placement using machine learning. (English) Zbl 1390.76808 Comput. Fluids 159, 167-176 (2017). MSC: 76N25 76F65 68T05 PDFBibTeX XMLCite \textit{R. Semaan}, Comput. Fluids 159, 167--176 (2017; Zbl 1390.76808) Full Text: DOI arXiv
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi Reduced basis methods for uncertainty quantification. (English) Zbl 1400.65010 SIAM/ASA J. Uncertain. Quantif. 5, 813-869 (2017). MSC: 65C30 60H15 65N12 65N15 65N35 PDFBibTeX XMLCite \textit{P. Chen} et al., SIAM/ASA J. Uncertain. Quantif. 5, 813--869 (2017; Zbl 1400.65010) Full Text: DOI
Kutz, J. Nathan; Sargsyan, Syuzanna; Brunton, Steven L. Leveraging sparsity and compressive sensing for reduced order modeling. (English) Zbl 1464.76174 Benner, Peter (ed.) et al., Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Cham: Springer. MS&A, Model. Simul. Appl. 17, 301-315 (2017). MSC: 76M99 76D05 76D55 65M22 PDFBibTeX XMLCite \textit{J. N. Kutz} et al., MS\&A, Model. Simul. Appl. 17, 301--315 (2017; Zbl 1464.76174) Full Text: DOI
Mons, Vincent; Chassaing, Jean-Camille; Sagaut, Pierre Optimal sensor placement for variational data assimilation of unsteady flows past a rotationally oscillating cylinder. (English) Zbl 1374.76186 J. Fluid Mech. 823, 230-277 (2017). MSC: 76M30 74F10 PDFBibTeX XMLCite \textit{V. Mons} et al., J. Fluid Mech. 823, 230--277 (2017; Zbl 1374.76186) Full Text: DOI
Alla, Alessandro; Kutz, J. Nathan Nonlinear model order reduction via dynamic mode decomposition. (English) Zbl 1373.65090 SIAM J. Sci. Comput. 39, No. 5, B778-B796 (2017). MSC: 65P99 37M05 PDFBibTeX XMLCite \textit{A. Alla} and \textit{J. N. Kutz}, SIAM J. Sci. Comput. 39, No. 5, B778--B796 (2017; Zbl 1373.65090) Full Text: DOI arXiv
Kramer, Boris; Grover, Piyush; Boufounos, Petros; Nabi, Saleh; Benosman, Mouhacine Sparse sensing and DMD-based identification of flow regimes and bifurcations in complex flows. (English) Zbl 1373.37185 SIAM J. Appl. Dyn. Syst. 16, No. 2, 1164-1196 (2017). MSC: 37N10 76F20 76F70 PDFBibTeX XMLCite \textit{B. Kramer} et al., SIAM J. Appl. Dyn. Syst. 16, No. 2, 1164--1196 (2017; Zbl 1373.37185) Full Text: DOI arXiv
Wang, Mengyu; Brigham, John C. A generalized computationally efficient inverse characterization approach combining direct inversion solution initialization with gradient-based optimization. (English) Zbl 1398.35297 Comput. Mech. 59, No. 3, 507-521 (2017). MSC: 35R30 76M25 90C51 74G75 90C06 PDFBibTeX XMLCite \textit{M. Wang} and \textit{J. C. Brigham}, Comput. Mech. 59, No. 3, 507--521 (2017; Zbl 1398.35297) Full Text: DOI Link
Dimitriu, Gabriel; Ştefănescu, Răzvan; Navon, Ionel M. Comparative numerical analysis using reduced-order modeling strategies for nonlinear large-scale systems. (English) Zbl 1348.92122 J. Comput. Appl. Math. 310, 32-43 (2017). MSC: 92D25 92B15 62P10 PDFBibTeX XMLCite \textit{G. Dimitriu} et al., J. Comput. Appl. Math. 310, 32--43 (2017; Zbl 1348.92122) Full Text: DOI
Oberai, Assad A.; Jagalur-Mohan, Jayanth Approximate optimal projection for reduced-order models. (English) Zbl 1360.65267 Int. J. Numer. Methods Eng. 105, No. 1, 63-80 (2016). MSC: 65N22 65N30 PDFBibTeX XMLCite \textit{A. A. Oberai} and \textit{J. Jagalur-Mohan}, Int. J. Numer. Methods Eng. 105, No. 1, 63--80 (2016; Zbl 1360.65267) Full Text: DOI
Zhang, Zhongqiang; Yang, Xiu; Lin, Guang POD-based constrained sensor placement and field reconstruction from noisy wind measurements: a perturbation study. (English) Zbl 1397.86018 Mathematics 4, No. 2, Paper No. 26, 15 p. (2016). MSC: 86A22 35R60 65M70 35Q31 65C30 65C05 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Mathematics 4, No. 2, Paper No. 26, 15 p. (2016; Zbl 1397.86018) Full Text: DOI
Peng, Liqian; Mohseni, Kamran Nonlinear model reduction via a locally weighted POD method. (English) Zbl 1352.65535 Int. J. Numer. Methods Eng. 106, No. 5, 372-396 (2016). MSC: 65N30 65M06 65M60 65N06 PDFBibTeX XMLCite \textit{L. Peng} and \textit{K. Mohseni}, Int. J. Numer. Methods Eng. 106, No. 5, 372--396 (2016; Zbl 1352.65535) Full Text: DOI
Brunton, B. W.; Brunton, S. L.; Proctor, J. L.; Kutz, J. N. Sparse sensor placement optimization for classification. (English) Zbl 1350.49037 SIAM J. Appl. Math. 76, No. 5, 2099-2122 (2016). MSC: 49M30 49N30 94A13 94A20 94A08 PDFBibTeX XMLCite \textit{B. W. Brunton} et al., SIAM J. Appl. Math. 76, No. 5, 2099--2122 (2016; Zbl 1350.49037) Full Text: DOI
Zimmermann, R.; Willcox, K. An accelerated greedy missing point estimation procedure. (English) Zbl 1348.65045 SIAM J. Sci. Comput. 38, No. 5, A2827-A2850 (2016). MSC: 65C60 62F10 65H10 65F15 PDFBibTeX XMLCite \textit{R. Zimmermann} and \textit{K. Willcox}, SIAM J. Sci. Comput. 38, No. 5, A2827--A2850 (2016; Zbl 1348.65045) Full Text: DOI
Nguyen, N. C.; Men, H.; Freund, R. M.; Peraire, J. Functional regression for state prediction using linear PDE models and observations. (English) Zbl 1350.60038 SIAM J. Sci. Comput. 38, No. 2, B247-B271 (2016). MSC: 60G25 62G08 60G15 62M20 35L05 35K05 35K57 35L65 65C60 65N75 PDFBibTeX XMLCite \textit{N. C. Nguyen} et al., SIAM J. Sci. Comput. 38, No. 2, B247--B271 (2016; Zbl 1350.60038) Full Text: DOI
Lozovskiy, Alexander; Farthing, Matthew; Kees, Chris; Gildin, Eduardo POD-based model reduction for stabilized finite element approximations of shallow water flows. (English) Zbl 1381.76189 J. Comput. Appl. Math. 302, 50-70 (2016). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{A. Lozovskiy} et al., J. Comput. Appl. Math. 302, 50--70 (2016; Zbl 1381.76189) Full Text: DOI
Peng, Liqian; Mohseni, Kamran Symplectic model reduction of Hamiltonian systems. (English) Zbl 1330.65193 SIAM J. Sci. Comput. 38, No. 1, A1-A27 (2016). MSC: 65P10 37M15 37J25 PDFBibTeX XMLCite \textit{L. Peng} and \textit{K. Mohseni}, SIAM J. Sci. Comput. 38, No. 1, A1--A27 (2016; Zbl 1330.65193) Full Text: DOI arXiv
Carlberg, Kevin; Ray, Jaideep; van Bloemen Waanders, Bart Decreasing the temporal complexity for nonlinear, implicit reduced-order models by forecasting. (English) Zbl 1425.65073 Comput. Methods Appl. Mech. Eng. 289, 79-103 (2015). MSC: 65L05 PDFBibTeX XMLCite \textit{K. Carlberg} et al., Comput. Methods Appl. Mech. Eng. 289, 79--103 (2015; Zbl 1425.65073) Full Text: DOI arXiv
Nguyen, N. C.; Peraire, J. Gaussian functional regression for linear partial differential equations. (English) Zbl 1423.35362 Comput. Methods Appl. Mech. Eng. 287, 69-89 (2015). MSC: 35Q62 60G15 62F15 62G08 PDFBibTeX XMLCite \textit{N. C. Nguyen} and \textit{J. Peraire}, Comput. Methods Appl. Mech. Eng. 287, 69--89 (2015; Zbl 1423.35362) Full Text: DOI Link
Wang, Mengyu; Dutta, Debaditya; Kim, Kang; Brigham, John C. A computationally efficient approach for inverse material characterization combining Gappy POD with direct inversion. (English) Zbl 1423.74965 Comput. Methods Appl. Mech. Eng. 286, 373-393 (2015). MSC: 74S30 65N21 74G75 PDFBibTeX XMLCite \textit{M. Wang} et al., Comput. Methods Appl. Mech. Eng. 286, 373--393 (2015; Zbl 1423.74965) Full Text: DOI
Herzog, Roland; Riedel, Ilka Sequentially optimal sensor placement in thermoelastic models for real time applications. (English) Zbl 1364.74076 Optim. Eng. 16, No. 4, 737-766 (2015). MSC: 74P10 74F05 90B80 49M27 PDFBibTeX XMLCite \textit{R. Herzog} and \textit{I. Riedel}, Optim. Eng. 16, No. 4, 737--766 (2015; Zbl 1364.74076) Full Text: DOI
Maday, Yvon; Patera, Anthony T.; Penn, James D.; Yano, Masayuki A parameterized-background data-weak approach to variational data assimilation: formulation, analysis, and application to acoustics. (English) Zbl 1352.65529 Int. J. Numer. Methods Eng. 102, No. 5, 933-965 (2015). MSC: 65N30 PDFBibTeX XMLCite \textit{Y. Maday} et al., Int. J. Numer. Methods Eng. 102, No. 5, 933--965 (2015; Zbl 1352.65529) Full Text: DOI Link
Wang, Zhu Nonlinear model reduction based on the finite element method with interpolated coefficients: Semilinear parabolic equations. (English) Zbl 1334.65159 Numer. Methods Partial Differ. Equations 31, No. 6, 1713-1741 (2015). MSC: 65M60 35K58 65M15 PDFBibTeX XMLCite \textit{Z. Wang}, Numer. Methods Partial Differ. Equations 31, No. 6, 1713--1741 (2015; Zbl 1334.65159) Full Text: DOI arXiv
Zhang, Yongjin; Feng, Lihong; Li, Suzhou; Benner, Peter An efficient output error estimation for model order reduction of parametrized evolution equations. (English) Zbl 1382.65281 SIAM J. Sci. Comput. 37, No. 6, B910-B936 (2015). MSC: 65M15 65D15 35L90 35K90 PDFBibTeX XMLCite \textit{Y. Zhang} et al., SIAM J. Sci. Comput. 37, No. 6, B910--B936 (2015; Zbl 1382.65281) Full Text: DOI Link
Xiao, D.; Fang, F.; Buchan, A. G.; Pain, C. C.; Navon, I. M.; Du, J.; Hu, G. Nonlinear model reduction for the Navier-Stokes equations using residual DEIM method. (English) Zbl 1349.76288 J. Comput. Phys. 263, 1-18 (2014). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{D. Xiao} et al., J. Comput. Phys. 263, 1--18 (2014; Zbl 1349.76288) Full Text: DOI
Carlberg, Kevin; Farhat, Charbel; Cortial, Julien; Amsallem, David The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows. (English) Zbl 1299.76180 J. Comput. Phys. 242, 623-647 (2013); corrigendum ibid. 250, 713 (2013). MSC: 76M25 76M10 PDFBibTeX XMLCite \textit{K. Carlberg} et al., J. Comput. Phys. 242, 623--647 (2013; Zbl 1299.76180) Full Text: DOI arXiv
Amsallem, David; Zahr, Matthew J.; Farhat, Charbel Nonlinear model order reduction based on local reduced-order bases. (English) Zbl 1352.65212 Int. J. Numer. Methods Eng. 92, No. 10, 891-916 (2012). MSC: 65L99 PDFBibTeX XMLCite \textit{D. Amsallem} et al., Int. J. Numer. Methods Eng. 92, No. 10, 891--916 (2012; Zbl 1352.65212) 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
Ryckelynck, David; Vincent, Florence; Cantournet, Sabine Multidimensional a priori hyper-reduction of mechanical models involving internal variables. (English) Zbl 1253.74132 Comput. Methods Appl. Mech. Eng. 225-228, 28-43 (2012). MSC: 74S30 65M70 35Q74 74H45 PDFBibTeX XMLCite \textit{D. Ryckelynck} et al., Comput. Methods Appl. Mech. Eng. 225--228, 28--43 (2012; Zbl 1253.74132) Full Text: DOI
Schlegel, Michael; Noack, Bernd R.; Jordan, Peter; Dillmann, Andreas; Gröschel, Elmar; Schröder, Wolfgang; Wei, Mingjun; Freund, Jonathan B.; Lehmann, Oliver; Tadmor, Gilead On least-order flow representations for aerodynamics and aeroacoustics. (English) Zbl 1250.76142 J. Fluid Mech. 697, 367-398 (2012). MSC: 76M25 76Q05 PDFBibTeX XMLCite \textit{M. Schlegel} et al., J. Fluid Mech. 697, 367--398 (2012; Zbl 1250.76142) Full Text: DOI Link
Khawar, Jawad; Zhigang, Wu; Chao, Yang Volterra kernel identification of MIMO aeroelastic system through multiresolution and multiwavelets. (English) Zbl 1398.74465 Comput. Mech. 49, No. 4, 431-458 (2012). MSC: 74S30 65R32 45Q05 74F10 74G75 PDFBibTeX XMLCite \textit{J. Khawar} et al., Comput. Mech. 49, No. 4, 431--458 (2012; Zbl 1398.74465) Full Text: DOI
Hekmati, Abbas; Ricot, Denis; Druault, Philippe About the convergence of POD and EPOD modes computed from CFD simulation. (English) Zbl 1271.76284 Comput. Fluids 50, No. 1, 60-71 (2011). MSC: 76M99 76F99 PDFBibTeX XMLCite \textit{A. Hekmati} et al., Comput. Fluids 50, No. 1, 60--71 (2011; Zbl 1271.76284) Full Text: DOI Link
Carlberg, Kevin; Bou-Mosleh, Charbel; Farhat, Charbel Efficient non linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations. (English) Zbl 1235.74351 Int. J. Numer. Methods Eng. 86, No. 2, 155-181 (2011). MSC: 74S30 65N22 PDFBibTeX XMLCite \textit{K. Carlberg} et al., Int. J. Numer. Methods Eng. 86, No. 2, 155--181 (2011; Zbl 1235.74351) Full Text: DOI
Galbally, D.; Fidkowski, K.; Willcox, K.; Ghattas, O. Nonlinear model reduction for uncertainty quantification in large-scale inverse problems. (English) Zbl 1183.76837 Int. J. Numer. Methods Eng. 81, No. 12, 1581-1608 (2010). MSC: 76M25 76R99 76V05 76M35 PDFBibTeX XMLCite \textit{D. Galbally} et al., Int. J. Numer. Methods Eng. 81, No. 12, 1581--1608 (2010; Zbl 1183.76837) Full Text: DOI
Verhoeven, Arie; Maten, Jan Ter; Striebel, Michael; Mattheij, Robert Model order reduction for nonlinear IC models. (English) Zbl 1238.34099 Korytowski, Adam (ed.) et al., System modeling and optimization. 23rd IFIP TC 7 conference, Cracow, Poland, July 23–27, 2007. Revised Selected Papers. Berlin: Springer (ISBN 978-3-642-04801-2/hbk; 978-3-642-04802-9/ebook). IFIP Advances in Information and Communication Technology 312, 476-491 (2009). MSC: 34C60 94C05 34C20 PDFBibTeX XMLCite \textit{A. Verhoeven} et al., IFIP Adv. Inf. Commun. Technol. 312, 476--491 (2009; Zbl 1238.34099) Full Text: DOI
Singer, Michael A.; Green, William H. Using adaptive proper orthogonal decomposition to solve the reaction-diffusion equation. (English) Zbl 1157.80003 Appl. Numer. Math. 59, No. 2, 272-279 (2009). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 80A25 PDFBibTeX XMLCite \textit{M. A. Singer} and \textit{W. H. Green}, Appl. Numer. Math. 59, No. 2, 272--279 (2009; Zbl 1157.80003) Full Text: DOI
Gunes, Hasan; Rist, Ulrich On the use of Kriging for enhanced data reconstruction in a separated transitional flat-plate boundary layer. (English) Zbl 1182.76298 Phys. Fluids 20, No. 10, Paper No. 104109, 19 p. (2008). MSC: 76-XX PDFBibTeX XMLCite \textit{H. Gunes} and \textit{U. Rist}, Phys. Fluids 20, No. 10, Paper No. 104109, 19 p. (2008; Zbl 1182.76298) Full Text: DOI Link
Bergmann, M.; Cordier, L. Optimal control of the cylinder wake in the laminar regime by trust-region methods and POD reduced-order models. (English) Zbl 1388.76073 J. Comput. Phys. 227, No. 16, 7813-7840 (2008). MSC: 76D55 76D25 76M25 PDFBibTeX XMLCite \textit{M. Bergmann} and \textit{L. Cordier}, J. Comput. Phys. 227, No. 16, 7813--7840 (2008; Zbl 1388.76073) Full Text: DOI
Buffoni, M.; Camarri, S.; Iollo, A.; Lombardi, E.; Salvetti, M. V. A non-linear observer for unsteady three-dimensional flows. (English) Zbl 1151.76011 J. Comput. Phys. 227, No. 4, 2626-2643 (2008). MSC: 76D55 76D05 PDFBibTeX XMLCite \textit{M. Buffoni} et al., J. Comput. Phys. 227, No. 4, 2626--2643 (2008; Zbl 1151.76011) Full Text: DOI arXiv
My-Ha, D.; Lim, K. M.; Khoo, B. C.; Willcox, K. Real-time optimization using proper orthogonal decomposition: free surface shape prediction due to underwater bubble dynamics. (English) Zbl 1177.76069 Comput. Fluids 36, No. 3, 499-512 (2007). MSC: 76B75 76B10 PDFBibTeX XMLCite \textit{D. My-Ha} et al., Comput. Fluids 36, No. 3, 499--512 (2007; Zbl 1177.76069) Full Text: DOI
Uzunoglu, Bahri Adaptive observations in ensemble data assimilation. (English) Zbl 1173.76399 Comput. Methods Appl. Mech. Eng. 196, No. 41-44, 4207-4221 (2007). MSC: 76M99 86A05 PDFBibTeX XMLCite \textit{B. Uzunoglu}, Comput. Methods Appl. Mech. Eng. 196, No. 41--44, 4207--4221 (2007; Zbl 1173.76399) Full Text: DOI
Cohen, Kelly; Siegel, Stefan; McLaughlin, Thomas A heuristic approach to effective sensor placement for modeling of a cylinder wake. (English) Zbl 1134.76335 Comput. Fluids 35, No. 1, 103-120 (2006). MSC: 76D55 76-05 PDFBibTeX XMLCite \textit{K. Cohen} et al., Comput. Fluids 35, No. 1, 103--120 (2006; Zbl 1134.76335) Full Text: DOI