Kapadia, Harshit; Feng, Lihong; Benner, Peter Active-learning-driven surrogate modeling for efficient simulation of parametric nonlinear systems. (English) Zbl 07796680 Comput. Methods Appl. Mech. Eng. 419, Article ID 116657, 36 p. (2024). MSC: 76-XX 92-XX PDFBibTeX XMLCite \textit{H. Kapadia} et al., Comput. Methods Appl. Mech. Eng. 419, Article ID 116657, 36 p. (2024; Zbl 07796680) Full Text: DOI arXiv
Silva, Vinicius L. S.; Heaney, Claire E.; Li, Yaqi; Pain, Christopher C. Data assimilation predictive GAN (DA-PredGAN) applied to a spatio-temporal compartmental model in epidemiology. (English) Zbl 1510.68090 J. Sci. Comput. 94, No. 1, Paper No. 25, 31 p. (2023); correction ibid. 95, No. 2, Paper No. 47, 2 p. (2023). MSC: 68T05 68T07 92D30 PDFBibTeX XMLCite \textit{V. L. S. Silva} et al., J. Sci. Comput. 94, No. 1, Paper No. 25, 31 p. (2023; Zbl 1510.68090) Full Text: DOI arXiv
Wen, Ziming; Li, Yu; Wang, Hu; Peng, Yong Data-driven spatiotemporal modeling for structural dynamics on irregular domains by stochastic dependency neural estimation. (English) Zbl 07644876 Comput. Methods Appl. Mech. Eng. 404, Article ID 115831, 40 p. (2023). MSC: 92-XX 74-XX PDFBibTeX XMLCite \textit{Z. Wen} et al., Comput. Methods Appl. Mech. Eng. 404, Article ID 115831, 40 p. (2023; Zbl 07644876) Full Text: DOI
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
Mohammadi, Vahid; Dehghan, Mehdi A POD-RBF-FD scheme for simulating chemotaxis models on surfaces. (English) Zbl 1521.92008 Eng. Anal. Bound. Elem. 143, 316-330 (2022). MSC: 92-08 65M06 35Q35 35Q92 65D12 92C17 PDFBibTeX XMLCite \textit{V. Mohammadi} and \textit{M. Dehghan}, Eng. Anal. Bound. Elem. 143, 316--330 (2022; Zbl 1521.92008) Full Text: DOI
Karasözen, Bülent; Mülayim, Gülden; Uzunca, Murat Nonintrusive model order reduction for cross-diffusion systems. (English) Zbl 1501.65089 Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106734, 17 p. (2022). Reviewer: Zhen Chao (Milwaukee) MSC: 65N06 65D12 65F20 15A69 35A01 35K51 35K58 65L10 65L12 65L20 65L70 92D25 92C40 35Q92 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106734, 17 p. (2022; Zbl 1501.65089) Full Text: DOI arXiv
Puligilla, Shivakanth Chary; Jayaraman, Balaji Assessment of end-to-end and sequential data-driven learning for non-intrusive modeling of fluid flows. (English) Zbl 1450.76032 Adv. Comput. Math. 46, No. 4, Paper No. 55, 44 p. (2020). MSC: 76M99 76M20 76D05 68T05 92B20 PDFBibTeX XMLCite \textit{S. C. Puligilla} and \textit{B. Jayaraman}, Adv. Comput. Math. 46, No. 4, Paper No. 55, 44 p. (2020; Zbl 1450.76032) Full Text: DOI arXiv
San, Omer; Maulik, Romit; Ahmed, Mansoor An artificial neural network framework for reduced order modeling of transient flows. (English) Zbl 1479.76082 Commun. Nonlinear Sci. Numer. Simul. 77, 271-287 (2019). MSC: 76M99 76D33 68T05 92B20 PDFBibTeX XMLCite \textit{O. San} et al., Commun. Nonlinear Sci. Numer. Simul. 77, 271--287 (2019; Zbl 1479.76082) Full Text: DOI arXiv
Bonomi, Diana; Manzoni, Andrea; Quarteroni, Alfio A matrix DEIM technique for model reduction of nonlinear parametrized problems in cardiac mechanics. (English) Zbl 1439.74394 Comput. Methods Appl. Mech. Eng. 324, 300-326 (2017). MSC: 74S05 65N30 74L15 92C10 PDFBibTeX XMLCite \textit{D. Bonomi} et al., Comput. Methods Appl. Mech. Eng. 324, 300--326 (2017; Zbl 1439.74394) Full Text: DOI Link