Brunton, Steven L.; Budišić, Marko; Kaiser, Eurika; Kutz, J. Nathan Modern Koopman theory for dynamical systems. (English) Zbl 1497.37105 SIAM Rev. 64, No. 2, 229-340 (2022). MSC: 37M99 37C10 37N35 47A35 47B33 34A34 PDFBibTeX XMLCite \textit{S. L. Brunton} et al., SIAM Rev. 64, No. 2, 229--340 (2022; Zbl 1497.37105) Full Text: DOI arXiv
Brunton, Steven L.; Kutz, J. Nathan Data-driven methods for reduced-order modeling. (English) Zbl 1467.93051 Benner, Peter (ed.) et al., Model order reduction. Volume 2: Snapshot-based methods and algorithms. Berlin: De Gruyter. 307-343 (2021). MSC: 93B11 93B30 93C10 PDFBibTeX XMLCite \textit{S. L. Brunton} and \textit{J. N. Kutz}, in: Model order reduction. Volume 2: Snapshot-based methods and algorithms. Berlin: De Gruyter. 307--343 (2021; Zbl 1467.93051) Full Text: DOI
Hirsh, Seth M.; Brunton, Bingni W.; Kutz, J. Nathan Data-driven spatiotemporal modal decomposition for time frequency analysis. (English) Zbl 1441.62236 Appl. Comput. Harmon. Anal. 49, No. 3, 771-790 (2020). MSC: 62M10 65T99 42B10 94A12 62P10 85A35 PDFBibTeX XMLCite \textit{S. M. Hirsh} et al., Appl. Comput. Harmon. Anal. 49, No. 3, 771--790 (2020; Zbl 1441.62236) Full Text: DOI arXiv
Mann, Jordan; Kutz, J. Nathan Dynamic mode decomposition for financial trading strategies. (English) Zbl 1400.91558 Quant. Finance 16, No. 11, 1643-1655 (2016). MSC: 91G10 37E99 37G99 37L65 PDFBibTeX XMLCite \textit{J. Mann} and \textit{J. N. Kutz}, Quant. Finance 16, No. 11, 1643--1655 (2016; Zbl 1400.91558) Full Text: DOI arXiv
Kutz, J. Nathan; Brunton, Steven L.; Brunton, Bingni W.; Proctor, Joshua L. Dynamic mode decomposition. Data-driven modeling of complex systems. (English) Zbl 1365.65009 Other Titles in Applied Mathematics 149. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-449-2/pbk). xvi, 234 p. (2016). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65C20 65K10 65-02 65P99 37M99 37N99 47A70 93B07 93B30 92D30 92C20 91G10 65Z05 65T60 PDFBibTeX XMLCite \textit{J. N. Kutz} et al., Dynamic mode decomposition. Data-driven modeling of complex systems. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2016; Zbl 1365.65009)
Bright, Ido; Lin, Guang; Kutz, J. Nathan Classification of spatiotemporal data via asynchronous sparse sampling: application to flow around a cylinder. (English) Zbl 1381.37101 Multiscale Model. Simul. 14, No. 2, 823-838 (2016). MSC: 37N10 62P35 37L65 76B99 94A20 PDFBibTeX XMLCite \textit{I. Bright} et al., Multiscale Model. Simul. 14, No. 2, 823--838 (2016; Zbl 1381.37101) Full Text: DOI arXiv
Kutz, J. Nathan; Tu, Jonathan H.; Proctor, Joshua L.; Brunton, Steven L. Compressed sensing and dynamic mode decomposition. (English) Zbl 1347.94012 J. Comput. Dyn. 2, No. 2, 165-191 (2015). MSC: 94A12 65P99 37M99 37M10 76M99 PDFBibTeX XMLCite \textit{J. N. Kutz} et al., J. Comput. Dyn. 2, No. 2, 165--191 (2015; Zbl 1347.94012) Full Text: DOI arXiv
Brunton, Steven L.; Tu, Jonathan H.; Bright, Ido; Kutz, J. Nathan Compressive sensing and low-rank libraries for classification of bifurcation regimes in nonlinear dynamical systems. (English) Zbl 1354.37078 SIAM J. Appl. Dyn. Syst. 13, No. 4, 1716-1732 (2014). MSC: 37L65 37G99 35Q56 94A12 PDFBibTeX XMLCite \textit{S. L. Brunton} et al., SIAM J. Appl. Dyn. Syst. 13, No. 4, 1716--1732 (2014; Zbl 1354.37078) Full Text: DOI arXiv
Williams, Matthew O.; Schmid, Peter J.; Kutz, J. Nathan Hybrid reduced-order integration with proper orthogonal decomposition and dynamic mode decomposition. (English) Zbl 1293.65136 Multiscale Model. Simul. 11, No. 2, 522-544 (2013); erratum ibid. 11, No. 4, 1311 (2013). MSC: 65M70 35Q60 78A50 35B32 PDFBibTeX XMLCite \textit{M. O. Williams} et al., Multiscale Model. Simul. 11, No. 2, 522--544 (2013; Zbl 1293.65136) Full Text: DOI
Williams, Matthew O.; Schmid, Peter J.; Kutz, J. Nathan Erratum: “Hybrid reduced-order integration with proper orthogonal decomposition and dynamic mode decomposition”. (English) Zbl 1294.65096 Multiscale Model. Simul. 11, No. 4, 1311 (2013). MSC: 65M70 35Q60 78A50 35B32 PDFBibTeX XMLCite \textit{M. O. Williams} et al., Multiscale Model. Simul. 11, No. 4, 1311 (2013; Zbl 1294.65096) Full Text: DOI