Cicci, Ludovica; Fresca, Stefania; Guo, Mengwu; Manzoni, Andrea; Zunino, Paolo Uncertainty quantification for nonlinear solid mechanics using reduced order models with Gaussian process regression. (English) Zbl 07750303 Comput. Math. Appl. 149, 1-23 (2023). MSC: 65M60 65N30 68T05 68T07 65M99 PDFBibTeX XMLCite \textit{L. Cicci} et al., Comput. Math. Appl. 149, 1--23 (2023; Zbl 07750303) Full Text: DOI arXiv
Yang, Qihong; Deng, Yangtao; Yang, Yu; He, Qiaolin; Zhang, Shiquan Neural networks based on power method and inverse power method for solving linear eigenvalue problems. (English) Zbl 07741346 Comput. Math. Appl. 147, 14-24 (2023). MSC: 65N25 68Txx 68T05 68T07 65L12 PDFBibTeX XMLCite \textit{Q. Yang} et al., Comput. Math. Appl. 147, 14--24 (2023; Zbl 07741346) Full Text: DOI arXiv
Abbaszadeh, Mostafa; Azis, Mohammad Ivan; Dehghan, Mehdi; Mohammadi-Arani, Reza Reduced order model for simulation of air pollution model and application in 2D urban street canyons via the meshfree gradient smoothing method. (English) Zbl 07692044 Comput. Math. Appl. 140, 195-210 (2023). MSC: 76M25 76D05 76M12 65M06 76M20 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Comput. Math. Appl. 140, 195--210 (2023; Zbl 07692044) Full Text: DOI
Saffarian, Marziyeh; Mohebbi, Akbar Reduced proper orthogonal decomposition spectral element method for the solution of 2D multi-term time fractional mixed diffusion and diffusion-wave equations in linear and nonlinear modes. (English) Zbl 1524.65681 Comput. Math. Appl. 117, 127-154 (2022). MSC: 65M70 65M06 35R11 65M12 65M60 26A33 65M99 65N35 PDFBibTeX XMLCite \textit{M. Saffarian} and \textit{A. Mohebbi}, Comput. Math. Appl. 117, 127--154 (2022; Zbl 1524.65681) 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
Karatzas, Efthymios N.; Nonino, Monica; Ballarin, Francesco; Rozza, Gianluigi A reduced order cut finite element method for geometrically parametrized steady and unsteady Navier-Stokes problems. (English) Zbl 1524.76215 Comput. Math. Appl. 116, 140-160 (2022). MSC: 76M10 65N30 76D05 65M60 65M15 PDFBibTeX XMLCite \textit{E. N. Karatzas} et al., Comput. Math. Appl. 116, 140--160 (2022; Zbl 1524.76215) Full Text: DOI arXiv
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
Sun, Xiang; Choi, Jung-Il Non-intrusive reduced-order modeling for uncertainty quantification of space-time-dependent parameterized problems. (English) Zbl 1524.76230 Comput. Math. Appl. 87, 50-64 (2021). MSC: 76M10 65M60 76D05 65N99 35B30 76M22 PDFBibTeX XMLCite \textit{X. Sun} and \textit{J.-I. Choi}, Comput. Math. Appl. 87, 50--64 (2021; Zbl 1524.76230) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa A combination of proper orthogonal decomposition-discrete empirical interpolation method (POD-DEIM) and meshless local RBF-DQ approach for prevention of groundwater contamination. (English) Zbl 1409.76095 Comput. Math. Appl. 75, No. 4, 1390-1412 (2018). MSC: 76M22 76M10 65M70 86A05 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Comput. Math. Appl. 75, No. 4, 1390--1412 (2018; Zbl 1409.76095) Full Text: DOI
Bistrian, Diana A. A solution of the parabolized Navier-Stokes stability model in discrete space by two-directional differential quadrature and application to swirl intense flows. (English) Zbl 1369.76035 Comput. Math. Appl. 68, No. 3, 197-211 (2014). MSC: 76M25 76E09 PDFBibTeX XMLCite \textit{D. A. Bistrian}, Comput. Math. Appl. 68, No. 3, 197--211 (2014; Zbl 1369.76035) Full Text: DOI