Chen, Junfeng; Wu, Kailiang Deep-OSG: deep learning of operators in semigroup. (English) Zbl 07748074 J. Comput. Phys. 493, Article ID 112498, 33 p. (2023). MSC: 68Txx 37Mxx 65Lxx PDFBibTeX XMLCite \textit{J. Chen} and \textit{K. Wu}, J. Comput. Phys. 493, Article ID 112498, 33 p. (2023; Zbl 07748074) Full Text: DOI arXiv
Chen, Zhen; Churchill, Victor; Wu, Kailiang; Xiu, Dongbin Deep neural network modeling of unknown partial differential equations in nodal space. (English) Zbl 07524779 J. Comput. Phys. 449, Article ID 110782, 20 p. (2022). MSC: 68Txx 35Qxx 37Mxx PDFBibTeX XMLCite \textit{Z. Chen} et al., J. Comput. Phys. 449, Article ID 110782, 20 p. (2022; Zbl 07524779) Full Text: DOI arXiv
Qin, Tong; Wu, Kailiang; Xiu, Dongbin Data driven governing equations approximation using deep neural networks. (English) Zbl 1455.65125 J. Comput. Phys. 395, 620-635 (2019). MSC: 65L99 37C10 37M10 68T07 PDFBibTeX XMLCite \textit{T. Qin} et al., J. Comput. Phys. 395, 620--635 (2019; Zbl 1455.65125) Full Text: DOI arXiv
Wu, Kailiang; Xiu, Dongbin Numerical aspects for approximating governing equations using data. (English) Zbl 1451.65008 J. Comput. Phys. 384, 200-221 (2019). MSC: 65C20 37M10 34A55 34A09 62G08 PDFBibTeX XMLCite \textit{K. Wu} and \textit{D. Xiu}, J. Comput. Phys. 384, 200--221 (2019; Zbl 1451.65008) Full Text: DOI arXiv