Liu, Wenkai; Liu, Yang; Li, Hong Time difference physics-informed neural network for fractional water wave models. (English) Zbl 1509.65074 Results Appl. Math. 17, Article ID 100347, 14 p. (2023). MSC: 65M06 68T07 26A33 35R11 76B15 35Q35 PDFBibTeX XMLCite \textit{W. Liu} et al., Results Appl. Math. 17, Article ID 100347, 14 p. (2023; Zbl 1509.65074) Full Text: DOI
Wilson, Joshua P.; Dai, Weizhong; Bora, Aniruddha; Boyt, Jacob C. A new artificial neural network method for solving Schrödinger equations on unbounded domains. (English) Zbl 1498.65189 Commun. Comput. Phys. 32, No. 4, 1039-1060 (2022). MSC: 65N06 65N12 68T07 PDFBibTeX XMLCite \textit{J. P. Wilson} et al., Commun. Comput. Phys. 32, No. 4, 1039--1060 (2022; Zbl 1498.65189) Full Text: DOI
Chen, Yuyan; Dong, Bin; Xu, Jinchao Meta-mgnet: meta multigrid networks for solving parameterized partial differential equations. (English) Zbl 07518081 J. Comput. Phys. 455, Article ID 110996, 26 p. (2022). MSC: 65Nxx 68Txx 76Mxx PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Comput. Phys. 455, Article ID 110996, 26 p. (2022; Zbl 07518081) Full Text: DOI arXiv
Hou, Dianming; Azaïez, Mejdi; Xu, Chuanju Müntz spectral method for two-dimensional space-fractional convection-diffusion equation. (English) Zbl 1518.65117 Commun. Comput. Phys. 26, No. 5, 1415-1443 (2019). MSC: 65M70 65M06 65N35 33C45 26A33 35R11 65D18 68U05 68U07 PDFBibTeX XMLCite \textit{D. Hou} et al., Commun. Comput. Phys. 26, No. 5, 1415--1443 (2019; Zbl 1518.65117) Full Text: DOI
Mehta, Pavan Pranjivan; Pang, Guofei; Song, Fangying; Karniadakis, George Em Discovering a universal variable-order fractional model for turbulent Couette flow using a physics-informed neural network. (English) Zbl 1434.76053 Fract. Calc. Appl. Anal. 22, No. 6, 1675-1688 (2019). MSC: 76F40 35R11 76F65 68T20 PDFBibTeX XMLCite \textit{P. P. Mehta} et al., Fract. Calc. Appl. Anal. 22, No. 6, 1675--1688 (2019; Zbl 1434.76053) Full Text: DOI