Chen, Peter Yichen; Chiaramonte, Maurizio M.; Grinspun, Eitan; Carlberg, Kevin Model reduction for the material point method via an implicit neural representation of the deformation map. (English) Zbl 07660321 J. Comput. Phys. 478, Article ID 111908, 30 p. (2023). MSC: 76Mxx 93Bxx 74Sxx PDFBibTeX XMLCite \textit{P. Y. Chen} et al., J. Comput. Phys. 478, Article ID 111908, 30 p. (2023; Zbl 07660321) 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
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
Rungpitaxmana, Suchinthra; Chaturantabut, Saifon Model reduction for Fisher’s equation with an error bound. (English) Zbl 1482.65108 Thai J. Math. 19, No. 4, 1729-1762 (2021). MSC: 65L05 65L70 93B11 PDFBibTeX XMLCite \textit{S. Rungpitaxmana} and \textit{S. Chaturantabut}, Thai J. Math. 19, No. 4, 1729--1762 (2021; Zbl 1482.65108) Full Text: Link
Gao, Han; Wang, Jian-Xun; Zahr, Matthew J. Non-intrusive model reduction of large-scale, nonlinear dynamical systems using deep learning. (English) Zbl 1489.93013 Physica D 412, Article ID 132614, 12 p. (2020). MSC: 93B11 93A15 93C10 68T07 PDFBibTeX XMLCite \textit{H. Gao} et al., Physica D 412, Article ID 132614, 12 p. (2020; Zbl 1489.93013) Full Text: DOI arXiv
Peitz, Sebastian; Ober-Blöbaum, Sina; Dellnitz, Michael Multiobjective optimal control methods for the Navier-Stokes equations using reduced order modeling. (English) Zbl 1415.76221 Acta Appl. Math. 161, 171-199 (2019). MSC: 76D55 35Q30 49K20 49M05 90C29 93C20 PDFBibTeX XMLCite \textit{S. Peitz} et al., Acta Appl. Math. 161, 171--199 (2019; Zbl 1415.76221) Full Text: DOI arXiv
Wang, Zhaohong; Jiang, Yaolin; Li, Zhen A trust-region method for optimal \(H_2\) model reduction of discrete-time dynamical systems. (English) Zbl 1405.93055 J. Difference Equ. Appl. 24, No. 10, 1604-1620 (2018). MSC: 93B11 93B60 93C55 93C05 93C10 93C35 93-04 PDFBibTeX XMLCite \textit{Z. Wang} et al., J. Difference Equ. Appl. 24, No. 10, 1604--1620 (2018; Zbl 1405.93055) Full Text: DOI
Peherstorfer, Benjamin; Willcox, Karen Data-driven operator inference for nonintrusive projection-based model reduction. (English) Zbl 1436.93062 Comput. Methods Appl. Mech. Eng. 306, 196-215 (2016). MSC: 93C05 93A15 93C15 65M20 65M99 93B11 PDFBibTeX XMLCite \textit{B. Peherstorfer} and \textit{K. Willcox}, Comput. Methods Appl. Mech. Eng. 306, 196--215 (2016; Zbl 1436.93062) 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