Dynamic mode decomposition (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Dynamic mode decomposition" in English language version.

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10doi.org

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7arxiv.org

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5worldcat.org

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4semanticscholar.org

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4nih.gov

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3harvard.edu

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1aps.org

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1cambridge.org

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1aimsciences.org

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1siam.org

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aimsciences.org

Tu, Rowley, Luchtenburg, Brunton, and Kutz (December 2014). "On Dynamic Mode Decomposition: Theory and Applications". American Institute of Mathematical Sciences. 1 (2): 391–421. arXiv:1312.0041. doi:10.3934/jcd.2014.1.391. S2CID 46419148.{{cite journal}}: CS1 maint: multiple names: authors list (link)

aps.org

meetings.aps.org

Schmid, Peter J; Sesterhenn, Joern (28 July 2008). "Dynamic mode decomposition of numerical and experimental data". Bulletin of the American Physical Society, Sixty-First Annual Meeting of the APS Division of Fluid Dynamics. 53 (15). Retrieved 1 August 2023.

arxiv.org

Tu, Rowley, Luchtenburg, Brunton, and Kutz (December 2014). "On Dynamic Mode Decomposition: Theory and Applications". American Institute of Mathematical Sciences. 1 (2): 391–421. arXiv:1312.0041. doi:10.3934/jcd.2014.1.391. S2CID 46419148.{{cite journal}}: CS1 maint: multiple names: authors list (link)
J.N. Kutz, X. Fu, and S.L. Brunton, "Multi-resolution dynamic mode decomposition." arXiv preprint arXiv:1506.00564 (2015).
Li, Qianxiao; Dietrich, Felix; Bollt, Erik M.; Kevrekidis, Ioannis G (2018). "Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator". Chaos: An Interdisciplinary Journal of Nonlinear Science. 27 (10): 103111. arXiv:1707.00225. doi:10.1063/1.4993854. PMID 29092410. S2CID 41957686.
Gulina, Marvyn; Mauroy, Alexandre (2021). "Two methods to approximate the Koopman operator with a reservoir computer". Chaos: An Interdisciplinary Journal of Nonlinear Science. 31 (2): 023116. arXiv:2008.10263. Bibcode:2021Chaos..31b3116G. doi:10.1063/5.0026380. PMID 33653036. S2CID 221266743.
Colbrook, Matthew J.; Townsend, Alex (2023-07-27). "Rigorous data‐driven computation of spectral properties of Koopman operators for dynamical systems". Communications on Pure and Applied Mathematics. 77: 221–283. arXiv:2111.14889. doi:10.1002/cpa.22125. ISSN 0010-3640.
Colbrook, Matthew J.; Ayton, Lorna J.; Szőke, Máté (2023-01-17). "Residual dynamic mode decomposition: robust and verified Koopmanism". Journal of Fluid Mechanics. 955: A21. arXiv:2205.09779. doi:10.1017/jfm.2022.1052. ISSN 0022-1120.
Colbrook, Matthew J. (2023-06-30). "The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems". SIAM Journal on Numerical Analysis. 61 (3): 1585–1608. arXiv:2209.02244. doi:10.1137/22M1521407. ISSN 0036-1429.

cambridge.org

Schmid, Peter J (10 August 2010). "Journal of Fluid Mechanics Article contents Abstract References Dynamic mode decomposition of numerical and experimental data". Journal of Fluid Dynamics. 656: 5–28. doi:10.1017/S0022112010001217. S2CID 11334986. Retrieved 1 August 2023.

doi.org

Schmid, Peter J (10 August 2010). "Journal of Fluid Mechanics Article contents Abstract References Dynamic mode decomposition of numerical and experimental data". Journal of Fluid Dynamics. 656: 5–28. doi:10.1017/S0022112010001217. S2CID 11334986. Retrieved 1 August 2023.
Tu, Rowley, Luchtenburg, Brunton, and Kutz (December 2014). "On Dynamic Mode Decomposition: Theory and Applications". American Institute of Mathematical Sciences. 1 (2): 391–421. arXiv:1312.0041. doi:10.3934/jcd.2014.1.391. S2CID 46419148.{{cite journal}}: CS1 maint: multiple names: authors list (link)
Li, Qianxiao; Dietrich, Felix; Bollt, Erik M.; Kevrekidis, Ioannis G (2018). "Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator". Chaos: An Interdisciplinary Journal of Nonlinear Science. 27 (10): 103111. arXiv:1707.00225. doi:10.1063/1.4993854. PMID 29092410. S2CID 41957686.
Gulina, Marvyn; Mauroy, Alexandre (2021). "Two methods to approximate the Koopman operator with a reservoir computer". Chaos: An Interdisciplinary Journal of Nonlinear Science. 31 (2): 023116. arXiv:2008.10263. Bibcode:2021Chaos..31b3116G. doi:10.1063/5.0026380. PMID 33653036. S2CID 221266743.
Colbrook, Matthew J.; Townsend, Alex (2023-07-27). "Rigorous data‐driven computation of spectral properties of Koopman operators for dynamical systems". Communications on Pure and Applied Mathematics. 77: 221–283. arXiv:2111.14889. doi:10.1002/cpa.22125. ISSN 0010-3640.
Colbrook, Matthew J.; Ayton, Lorna J.; Szőke, Máté (2023-01-17). "Residual dynamic mode decomposition: robust and verified Koopmanism". Journal of Fluid Mechanics. 955: A21. arXiv:2205.09779. doi:10.1017/jfm.2022.1052. ISSN 0022-1120.
Baddoo, Peter J.; Herrmann, Benjamin; McKeon, Beverley J.; Nathan Kutz, J.; Brunton, Steven L. (2023-03-01). "Physics-informed dynamic mode decomposition". Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 479 (2271). doi:10.1098/rspa.2022.0576. ISSN 1364-5021.
Colbrook, Matthew J. (2023-06-30). "The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems". SIAM Journal on Numerical Analysis. 61 (3): 1585–1608. arXiv:2209.02244. doi:10.1137/22M1521407. ISSN 0036-1429.
Taylor-King, Jake P.; Riseth, Asbjørn N.; Macnair, Will; Claassen, Manfred (2020-01-10). "Dynamic distribution decomposition for single-cell snapshot time series identifies subpopulations and trajectories during iPSC reprogramming". PLOS Computational Biology. 16 (1): e1007491. Bibcode:2020PLSCB..16E7491T. doi:10.1371/journal.pcbi.1007491. ISSN 1553-7358. PMC 6953770. PMID 31923173.
Penland, Magorian, Cecile, Theresa (1993). "Prediction of Niño 3 Sea Surface Temperatures Using Linear Inverse Modeling". J. Climate. 6 (6): 1067. Bibcode:1993JCli....6.1067P. doi:10.1175/1520-0442(1993)006<1067:PONSST>2.0.CO;2.{{cite journal}}: CS1 maint: multiple names: authors list (link)

harvard.edu

ui.adsabs.harvard.edu

Gulina, Marvyn; Mauroy, Alexandre (2021). "Two methods to approximate the Koopman operator with a reservoir computer". Chaos: An Interdisciplinary Journal of Nonlinear Science. 31 (2): 023116. arXiv:2008.10263. Bibcode:2021Chaos..31b3116G. doi:10.1063/5.0026380. PMID 33653036. S2CID 221266743.
Taylor-King, Jake P.; Riseth, Asbjørn N.; Macnair, Will; Claassen, Manfred (2020-01-10). "Dynamic distribution decomposition for single-cell snapshot time series identifies subpopulations and trajectories during iPSC reprogramming". PLOS Computational Biology. 16 (1): e1007491. Bibcode:2020PLSCB..16E7491T. doi:10.1371/journal.pcbi.1007491. ISSN 1553-7358. PMC 6953770. PMID 31923173.
Penland, Magorian, Cecile, Theresa (1993). "Prediction of Niño 3 Sea Surface Temperatures Using Linear Inverse Modeling". J. Climate. 6 (6): 1067. Bibcode:1993JCli....6.1067P. doi:10.1175/1520-0442(1993)006<1067:PONSST>2.0.CO;2.{{cite journal}}: CS1 maint: multiple names: authors list (link)

nih.gov

pubmed.ncbi.nlm.nih.gov

Li, Qianxiao; Dietrich, Felix; Bollt, Erik M.; Kevrekidis, Ioannis G (2018). "Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator". Chaos: An Interdisciplinary Journal of Nonlinear Science. 27 (10): 103111. arXiv:1707.00225. doi:10.1063/1.4993854. PMID 29092410. S2CID 41957686.
Gulina, Marvyn; Mauroy, Alexandre (2021). "Two methods to approximate the Koopman operator with a reservoir computer". Chaos: An Interdisciplinary Journal of Nonlinear Science. 31 (2): 023116. arXiv:2008.10263. Bibcode:2021Chaos..31b3116G. doi:10.1063/5.0026380. PMID 33653036. S2CID 221266743.
Taylor-King, Jake P.; Riseth, Asbjørn N.; Macnair, Will; Claassen, Manfred (2020-01-10). "Dynamic distribution decomposition for single-cell snapshot time series identifies subpopulations and trajectories during iPSC reprogramming". PLOS Computational Biology. 16 (1): e1007491. Bibcode:2020PLSCB..16E7491T. doi:10.1371/journal.pcbi.1007491. ISSN 1553-7358. PMC 6953770. PMID 31923173.

ncbi.nlm.nih.gov

Taylor-King, Jake P.; Riseth, Asbjørn N.; Macnair, Will; Claassen, Manfred (2020-01-10). "Dynamic distribution decomposition for single-cell snapshot time series identifies subpopulations and trajectories during iPSC reprogramming". PLOS Computational Biology. 16 (1): e1007491. Bibcode:2020PLSCB..16E7491T. doi:10.1371/journal.pcbi.1007491. ISSN 1553-7358. PMC 6953770. PMID 31923173.

semanticscholar.org

api.semanticscholar.org

Schmid, Peter J (10 August 2010). "Journal of Fluid Mechanics Article contents Abstract References Dynamic mode decomposition of numerical and experimental data". Journal of Fluid Dynamics. 656: 5–28. doi:10.1017/S0022112010001217. S2CID 11334986. Retrieved 1 August 2023.
Tu, Rowley, Luchtenburg, Brunton, and Kutz (December 2014). "On Dynamic Mode Decomposition: Theory and Applications". American Institute of Mathematical Sciences. 1 (2): 391–421. arXiv:1312.0041. doi:10.3934/jcd.2014.1.391. S2CID 46419148.{{cite journal}}: CS1 maint: multiple names: authors list (link)
Li, Qianxiao; Dietrich, Felix; Bollt, Erik M.; Kevrekidis, Ioannis G (2018). "Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator". Chaos: An Interdisciplinary Journal of Nonlinear Science. 27 (10): 103111. arXiv:1707.00225. doi:10.1063/1.4993854. PMID 29092410. S2CID 41957686.
Gulina, Marvyn; Mauroy, Alexandre (2021). "Two methods to approximate the Koopman operator with a reservoir computer". Chaos: An Interdisciplinary Journal of Nonlinear Science. 31 (2): 023116. arXiv:2008.10263. Bibcode:2021Chaos..31b3116G. doi:10.1063/5.0026380. PMID 33653036. S2CID 221266743.

siam.org

epubs.siam.org

Colbrook, Matthew J. (2023-06-30). "The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems". SIAM Journal on Numerical Analysis. 61 (3): 1585–1608. arXiv:2209.02244. doi:10.1137/22M1521407. ISSN 0036-1429.

worldcat.org

search.worldcat.org

Colbrook, Matthew J.; Townsend, Alex (2023-07-27). "Rigorous data‐driven computation of spectral properties of Koopman operators for dynamical systems". Communications on Pure and Applied Mathematics. 77: 221–283. arXiv:2111.14889. doi:10.1002/cpa.22125. ISSN 0010-3640.
Colbrook, Matthew J.; Ayton, Lorna J.; Szőke, Máté (2023-01-17). "Residual dynamic mode decomposition: robust and verified Koopmanism". Journal of Fluid Mechanics. 955: A21. arXiv:2205.09779. doi:10.1017/jfm.2022.1052. ISSN 0022-1120.
Baddoo, Peter J.; Herrmann, Benjamin; McKeon, Beverley J.; Nathan Kutz, J.; Brunton, Steven L. (2023-03-01). "Physics-informed dynamic mode decomposition". Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 479 (2271). doi:10.1098/rspa.2022.0576. ISSN 1364-5021.
Colbrook, Matthew J. (2023-06-30). "The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems". SIAM Journal on Numerical Analysis. 61 (3): 1585–1608. arXiv:2209.02244. doi:10.1137/22M1521407. ISSN 0036-1429.
Taylor-King, Jake P.; Riseth, Asbjørn N.; Macnair, Will; Claassen, Manfred (2020-01-10). "Dynamic distribution decomposition for single-cell snapshot time series identifies subpopulations and trajectories during iPSC reprogramming". PLOS Computational Biology. 16 (1): e1007491. Bibcode:2020PLSCB..16E7491T. doi:10.1371/journal.pcbi.1007491. ISSN 1553-7358. PMC 6953770. PMID 31923173.