Mendible, Ariana; Lowrie, Weston; Brunton, Steven L.; Kutz, J. Nathan Data-driven modeling of two-dimensional detonation wave fronts. (English) Zbl 1524.76202 Wave Motion 109, Article ID 102879, 17 p. (2022). MSC: 76L05 35Q31 78M34 PDFBibTeX XMLCite \textit{A. Mendible} et al., Wave Motion 109, Article ID 102879, 17 p. (2022; Zbl 1524.76202) Full Text: DOI arXiv
Erichson, N. Benjamin; Mathelin, Lionel; Yao, Zhewei; Brunton, Steven L.; Mahoney, Michael W.; Kutz, J. Nathan Shallow neural networks for fluid flow reconstruction with limited sensors. (English) Zbl 1472.68172 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2238, Article ID 20200097, 25 p. (2020). MSC: 68T07 76M99 PDFBibTeX XMLCite \textit{N. B. Erichson} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2238, Article ID 20200097, 25 p. (2020; Zbl 1472.68172) Full Text: DOI arXiv Link
Erichson, N. Benjamin; Zheng, Peng; Manohar, Krithika; Brunton, Steven L.; Kutz, J. Nathan; Aravkin, Aleksandr Y. Sparse principal component analysis via variable projection. (English) Zbl 1440.62231 SIAM J. Appl. Math. 80, No. 2, 977-1002 (2020). MSC: 62H25 62J12 68W20 PDFBibTeX XMLCite \textit{N. B. Erichson} et al., SIAM J. Appl. Math. 80, No. 2, 977--1002 (2020; Zbl 1440.62231) Full Text: DOI arXiv
Kutz, J. Nathan; Fu, Xing; Brunton, Steven L. Multiresolution dynamic mode decomposition. (English) Zbl 1338.37121 SIAM J. Appl. Dyn. Syst. 15, No. 2, 713-735 (2016). MSC: 37M10 37N10 PDFBibTeX XMLCite \textit{J. N. Kutz} et al., SIAM J. Appl. Dyn. Syst. 15, No. 2, 713--735 (2016; Zbl 1338.37121) Full Text: DOI arXiv