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Ben Hammouda, Chiheb; Ben Rached, Nadhir; Tempone, Raúl; Wiechert, Sophia Learning-based importance sampling via stochastic optimal control for stochastic reaction networks. (English) Zbl 1516.62007 Stat. Comput. 33, No. 3, Paper No. 58, 17 p. (2023). MSC: 62-08 60H35 65C05 93E20 PDFBibTeX XMLCite \textit{C. Ben Hammouda} et al., Stat. Comput. 33, No. 3, Paper No. 58, 17 p. (2023; Zbl 1516.62007) Full Text: DOI arXiv
Bertaglia, Giulia; Lu, Chuan; Pareschi, Lorenzo; Zhu, Xueyu Asymptotic-preserving neural networks for multiscale hyperbolic models of epidemic spread. (English) Zbl 1512.92094 Math. Models Methods Appl. Sci. 32, No. 10, 1949-1985 (2022). MSC: 92D30 35K57 35L04 65L04 65M08 68T07 PDFBibTeX XMLCite \textit{G. Bertaglia} et al., Math. Models Methods Appl. Sci. 32, No. 10, 1949--1985 (2022; Zbl 1512.92094) Full Text: DOI arXiv
Kim, Yongho; Choi, Yongho Learning finite difference methods for reaction-diffusion type equations with FCNN. (English) Zbl 1524.35313 Comput. Math. Appl. 123, 115-122 (2022). MSC: 35K57 65M06 92C50 35Q92 92C37 PDFBibTeX XMLCite \textit{Y. Kim} and \textit{Y. Choi}, Comput. Math. Appl. 123, 115--122 (2022; Zbl 1524.35313) Full Text: DOI
Huang, Yao; Hao, Wenrui; Lin, Guang HomPINNs: homotopy physics-informed neural networks for learning multiple solutions of nonlinear elliptic differential equations. (English) Zbl 1524.65937 Comput. Math. Appl. 121, 62-73 (2022). MSC: 65N99 68T07 35K57 PDFBibTeX XMLCite \textit{Y. Huang} et al., Comput. Math. Appl. 121, 62--73 (2022; Zbl 1524.65937) Full Text: DOI
Liu, Min; Cai, Zhiqiang Adaptive two-layer ReLU neural network. II: Ritz approximation to elliptic PDEs. (English) Zbl 1524.65939 Comput. Math. Appl. 113, 103-116 (2022). MSC: 65N99 68T07 65D07 65N30 65K10 35J05 PDFBibTeX XMLCite \textit{M. Liu} and \textit{Z. Cai}, Comput. Math. Appl. 113, 103--116 (2022; Zbl 1524.65939) Full Text: DOI arXiv
Jagtap, N. V.; Mudunuru, M. K.; Nakshatrala, K. B. A deep learning modeling framework to capture mixing patterns in reactive-transport systems. (English) Zbl 1507.35182 Commun. Comput. Phys. 31, No. 1, 188-223 (2022). MSC: 35Q35 35Q79 76V05 80A32 92E20 35K57 35-04 35K51 76M10 65M60 65M06 65N30 68T07 68Q32 PDFBibTeX XMLCite \textit{N. V. Jagtap} et al., Commun. Comput. Phys. 31, No. 1, 188--223 (2022; Zbl 1507.35182) Full Text: DOI arXiv
Amini Niaki, Sina; Haghighat, Ehsan; Campbell, Trevor; Poursartip, Anoush; Vaziri, Reza Physics-informed neural network for modelling the thermochemical curing process of composite-tool systems during manufacture. (English) Zbl 1506.74123 Comput. Methods Appl. Mech. Eng. 384, Article ID 113959, 23 p. (2021). MSC: 74F25 68T07 PDFBibTeX XMLCite \textit{S. Amini Niaki} et al., Comput. Methods Appl. Mech. Eng. 384, Article ID 113959, 23 p. (2021; Zbl 1506.74123) Full Text: DOI arXiv
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