Cao, Fujun; Gao, Fei; Guo, Xiaobin; Yuan, Dongfang Physics-informed neural networks with parameter asymptotic strategy for learning singularly perturbed convection-dominated problem. (English) Zbl 1525.65098 Comput. Math. Appl. 150, 229-242 (2023). MSC: 65M70 68T07 76D10 80A19 PDFBibTeX XMLCite \textit{F. Cao} et al., Comput. Math. Appl. 150, 229--242 (2023; Zbl 1525.65098) Full Text: DOI
Aznaran, Francis R. A.; Farrell, Patrick E.; Kirby, Robert C. Transformations for Piola-mapped elements. (English) Zbl 1528.65099 SMAI J. Comput. Math. 8, 399-437 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N55 65F08 65F10 76D07 74B10 35A15 68W30 78M10 PDFBibTeX XMLCite \textit{F. R. A. Aznaran} et al., SMAI J. Comput. Math. 8, 399--437 (2023; Zbl 1528.65099) Full Text: DOI arXiv
Liu, Xuefeng; Nakao, Mitsuhiro T.; Oishi, Shin’ichi Computer-assisted proof for the stationary solution existence of the Navier-Stokes equation over 3D domains. (English) Zbl 1493.65218 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106223, 15 p. (2022). MSC: 65N30 65N15 35A01 68V05 76D05 35Q30 76D07 65N25 65H10 65K10 PDFBibTeX XMLCite \textit{X. Liu} et al., Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106223, 15 p. (2022; Zbl 1493.65218) Full Text: DOI arXiv
Xu, Jinchao Finite neuron method and convergence analysis. (English) Zbl 1473.65350 Commun. Comput. Phys. 28, No. 5, 1707-1745 (2020). MSC: 65N99 62M45 65N30 68T07 65N12 65N15 PDFBibTeX XMLCite \textit{J. Xu}, Commun. Comput. Phys. 28, No. 5, 1707--1745 (2020; Zbl 1473.65350) Full Text: DOI arXiv
Han, Yihui; Xie, Xiaoping Robust globally divergence-free weak Galerkin finite element methods for natural convection problems. (English) Zbl 07418048 Commun. Comput. Phys. 26, No. 4, 1039-1070 (2019). MSC: 65D18 68U05 68U07 PDFBibTeX XMLCite \textit{Y. Han} and \textit{X. Xie}, Commun. Comput. Phys. 26, No. 4, 1039--1070 (2019; Zbl 07418048) Full Text: DOI arXiv
Belhachmi, Zakaria; Hecht, Frederic An adaptive approach for the segmentation and the TV-filtering in the optic flow estimation. (English) Zbl 1405.94013 J. Math. Imaging Vis. 54, No. 3, 358-377 (2016). MSC: 94A08 65N30 68U20 PDFBibTeX XMLCite \textit{Z. Belhachmi} and \textit{F. Hecht}, J. Math. Imaging Vis. 54, No. 3, 358--377 (2016; Zbl 1405.94013) Full Text: DOI