Chen, Shi; Ding, Zhiyan; Li, Qin; Wright, Stephen J. A reduced order Schwarz method for nonlinear multiscale elliptic equations based on two-layer neural networks. (English) Zbl 07806684 J. Comput. Math. 42, No. 2, 570-596 (2024). MSC: 65N55 35J66 41A46 68T07 PDFBibTeX XMLCite \textit{S. Chen} et al., J. Comput. Math. 42, No. 2, 570--596 (2024; Zbl 07806684) Full Text: DOI arXiv
Sun, Jingbo; Wang, Fei Local randomized neural networks with discontinuous Galerkin methods for diffusive-viscous wave equation. (English) Zbl 07784354 Comput. Math. Appl. 154, 128-137 (2024). MSC: 68T05 65M12 65M75 65N30 35K57 PDFBibTeX XMLCite \textit{J. Sun} and \textit{F. Wang}, Comput. Math. Appl. 154, 128--137 (2024; Zbl 07784354) Full Text: DOI arXiv
Zhang, Mei; Yang, Haijian; Yang, Chao; Sun, Shuyu Multilevel constrained pressure-temperature residual preconditioners for large-scale non-isothermal reservoir simulation via restricted additive Schwarz algorithms. (English) Zbl 07783562 Commun. Comput. Phys. 34, No. 3, 837-868 (2023). MSC: 65F08 49M15 65M55 68W10 76S05 90B05 PDFBibTeX XMLCite \textit{M. Zhang} et al., Commun. Comput. Phys. 34, No. 3, 837--868 (2023; Zbl 07783562) Full Text: DOI
Bai, Xiangyu; Sun, Jiebao; Shen, Jie; Yao, Wenjuan; Guo, Zhichang A Ginzburg-Landau-\({H}^{-1}\) model and its SAV algorithm for image inpainting. (English) Zbl 1522.65164 J. Sci. Comput. 96, No. 2, Paper No. 40, 27 p. (2023). MSC: 65M32 65M30 65M06 65M50 65H10 65D18 68U10 94A08 35A15 35R09 35Q56 35B05 PDFBibTeX XMLCite \textit{X. Bai} et al., J. Sci. Comput. 96, No. 2, Paper No. 40, 27 p. (2023; Zbl 1522.65164) Full Text: DOI
Zhang, Wen; Li, Jian The robust physics-informed neural networks for a typical fourth-order phase field model. (English) Zbl 07692035 Comput. Math. Appl. 140, 64-77 (2023). MSC: 65M60 76M10 65M12 68T05 35Q30 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{J. Li}, Comput. Math. Appl. 140, 64--77 (2023; Zbl 07692035) Full Text: DOI
Zhang, Wen; Li, Jian CPINNs: a coupled physics-informed neural networks for the closed-loop geothermal system. (English) Zbl 1524.76336 Comput. Math. Appl. 132, 161-179 (2023). MSC: 76M99 76M10 76D05 65M12 68T05 65N30 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{J. Li}, Comput. Math. Appl. 132, 161--179 (2023; Zbl 1524.76336) Full Text: DOI
Keil, Tim; Kleikamp, Hendrik; Lorentzen, Rolf J.; Oguntola, Micheal B.; Ohlberger, Mario Adaptive machine learning-based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery. (English) Zbl 07618976 Adv. Comput. Math. 48, No. 6, Paper No. 73, 35 p. (2022). MSC: 68T07 90C90 PDFBibTeX XMLCite \textit{T. Keil} et al., Adv. Comput. Math. 48, No. 6, Paper No. 73, 35 p. (2022; Zbl 07618976) Full Text: DOI arXiv
Wang, Lian; Yao, Yuedong; Zhang, Liang; Adenutsi, Caspar Daniel; Zhao, Guoxiang; Lai, Fengpeng An intelligent multi-fidelity surrogate-assisted multi-objective reservoir production optimization method based on transfer stacking. (English) Zbl 1496.86022 Comput. Geosci. 26, No. 5, 1279-1295 (2022). MSC: 86A32 86A20 86-08 68T05 PDFBibTeX XMLCite \textit{L. Wang} et al., Comput. Geosci. 26, No. 5, 1279--1295 (2022; Zbl 1496.86022) Full Text: DOI
Yan, Bicheng; Harp, Dylan Robert; Chen, Bailian; Hoteit, Hussein; Pawar, Rajesh J. A gradient-based deep neural network model for simulating multiphase flow in porous media. (English) Zbl 07536776 J. Comput. Phys. 463, Article ID 111277, 23 p. (2022). MSC: 76Sxx 76Mxx 68Txx PDFBibTeX XMLCite \textit{B. Yan} et al., J. Comput. Phys. 463, Article ID 111277, 23 p. (2022; Zbl 07536776) Full Text: DOI arXiv
Newman, Elizabeth; Ruthotto, Lars; Hart, Joseph; van Bloemen Waanders, Bart Train like a (Var)pro: efficient training of neural networks with variable projection. (English) Zbl 07419557 SIAM J. Math. Data Sci. 3, No. 4, 1041-1066 (2021). MSC: 68T05 49M15 PDFBibTeX XMLCite \textit{E. Newman} et al., SIAM J. Math. Data Sci. 3, No. 4, 1041--1066 (2021; Zbl 07419557) Full Text: DOI arXiv
Li, Rui; Yang, Haijian; Yang, Chao Parallel multilevel restricted Schwarz preconditioners for implicit simulation of subsurface flows with Peng-Robinson equation of state. (English) Zbl 07508377 J. Comput. Phys. 422, Article ID 109745, 19 p. (2020). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{R. Li} et al., J. Comput. Phys. 422, Article ID 109745, 19 p. (2020; Zbl 07508377) Full Text: DOI arXiv
Liu, Jiangguo; Gu, Jianli; Li, Huishu; Carlson, Kenneth H. Machine learning and transport simulations for groundwater anomaly detection. (English) Zbl 1451.76103 J. Comput. Appl. Math. 380, Article ID 112982, 12 p. (2020). MSC: 76M99 76M10 76S05 68T05 86A05 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Comput. Appl. Math. 380, Article ID 112982, 12 p. (2020; Zbl 1451.76103) Full Text: DOI
Shen, Zhao-Li; Huang, Ting-Zhu; Carpentieri, Bruno; Wen, Chun; Gu, Xian-Ming; Tan, Xue-Yuan Off-diagonal low-rank preconditioner for difficult PageRank problems. (English) Zbl 1402.65028 J. Comput. Appl. Math. 346, 456-470 (2019). MSC: 65F15 65F10 68P10 PDFBibTeX XMLCite \textit{Z.-L. Shen} et al., J. Comput. Appl. Math. 346, 456--470 (2019; Zbl 1402.65028) Full Text: DOI Link
Arrarás, A.; Portero, L. Decoupling mixed finite elements on hierarchical triangular grids for parabolic problems. (English) Zbl 1426.76215 Appl. Math. Comput. 319, 662-680 (2018). MSC: 76M10 65M60 35K20 65M55 68W10 76S05 PDFBibTeX XMLCite \textit{A. Arrarás} and \textit{L. Portero}, Appl. Math. Comput. 319, 662--680 (2018; Zbl 1426.76215) Full Text: DOI arXiv Link
Cherfils, L.; Choquet, C.; Diédhiou, M. M. Numerical validation of an upscaled sharp-diffuse interface model for stratified miscible flows. (English) Zbl 07313825 Math. Comput. Simul. 137, 246-265 (2017). MSC: 05-XX 68-XX PDFBibTeX XMLCite \textit{L. Cherfils} et al., Math. Comput. Simul. 137, 246--265 (2017; Zbl 07313825) Full Text: DOI
Zhang, Junbo; Zhu, Yun; Pan, Yi; Li, Tianrui Efficient parallel Boolean matrix based algorithms for computing composite rough set approximations. (English) Zbl 1390.68687 Inf. Sci. 329, 287-302 (2016). MSC: 68T37 15B34 PDFBibTeX XMLCite \textit{J. Zhang} et al., Inf. Sci. 329, 287--302 (2016; Zbl 1390.68687) Full Text: DOI
Chen, Zhangxin; Liu, Hui; Yang, Bo Accelerating iterative linear solvers using multiple graphical processing units. (English) Zbl 1317.65267 Int. J. Comput. Math. 92, No. 7, 1422-1438 (2015). MSC: 65Y05 68W10 65Y04 PDFBibTeX XMLCite \textit{Z. Chen} et al., Int. J. Comput. Math. 92, No. 7, 1422--1438 (2015; Zbl 1317.65267) Full Text: DOI
Xia, Henian; Wong, Kwai; Zhao, Xiaopeng A fully coupled model for electromechanics of the heart. (English) Zbl 1256.92013 Comput. Math. Methods Med. 2012, Article ID 927279, 10 p. (2012). MSC: 92C30 92C05 92C10 68U20 65Y05 PDFBibTeX XMLCite \textit{H. Xia} et al., Comput. Math. Methods Med. 2012, Article ID 927279, 10 p. (2012; Zbl 1256.92013) Full Text: DOI
Gerritsen, Margot G.; Löf, Henrik; Thiele, Marco R. Parallel implementations of streamline simulators. (English) Zbl 1171.86304 Comput. Geosci. 13, No. 1, 135-149 (2009). MSC: 86-08 76M25 68W10 PDFBibTeX XMLCite \textit{M. G. Gerritsen} et al., Comput. Geosci. 13, No. 1, 135--149 (2009; Zbl 1171.86304) Full Text: DOI