Variants of Dynamic Mode Decomposition: Boundary Condition, Koopman, and Fourier Analyses

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Chen, Kevin K., et al. “Variants of Dynamic Mode Decomposition: Boundary Condition, Koopman, and Fourier Analyses”. Journal of Nonlinear Science, vol. 22, no. 6, 2012, pp. 887-15, https://doi.org/10.1007/s00332-012-9130-9.
Chen, K. K., Tu, J. H., & Rowley, C. W. (2012). Variants of Dynamic Mode Decomposition: Boundary Condition, Koopman, and Fourier Analyses. Journal of Nonlinear Science, 22(6), 887-915. https://doi.org/10.1007/s00332-012-9130-9
Chen, Kevin K., Jonathan H. Tu, and Clarence W. Rowley. “Variants of Dynamic Mode Decomposition: Boundary Condition, Koopman, and Fourier Analyses”. Journal of Nonlinear Science 22, no. 6 (2012): 887-915. https://doi.org/10.1007/s00332-012-9130-9.
Chen KK, Tu JH, Rowley CW. Variants of Dynamic Mode Decomposition: Boundary Condition, Koopman, and Fourier Analyses. Journal of Nonlinear Science. 2012;22(6):887-915.
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Refrences
Title Journal Journal Categories Citations Publication Date
Application of the dynamic mode decomposition to experimental data Experiments in Fluids
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General)
214 2011
Applications of the dynamic mode decomposition Theoretical and Computational Fluid Dynamics
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases
  • Technology: Mechanical engineering and machinery
  • Science: Physics
324 2011
A fast immersed boundary method using a nullspace approach and multi-domain far-field boundary conditions Computer Methods in Applied Mechanics and Engineering
  • Technology: Engineering (General). Civil engineering (General)
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Technology: Mechanical engineering and machinery
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
137 2008
The immersed boundary method: A projection approach Journal of Computational Physics
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Science: Mathematics
  • Science: Physics
375 2007
Spectral Properties of Dynamical Systems, Model Reduction and Decompositions Nonlinear Dynamics
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
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Citations
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On the discrepancies between POD and Fourier modes on aperiodic domains

Journal of Engineering Mathematics
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2024
Spatiotemporal features representation with dynamic mode decomposition for hand gesture recognition using deep neural networks Signal, Image and Video Processing
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  • Technology: Photography
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2024
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  • Science: Mathematics
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Momentum analysis of complex time-periodic flows

Journal of Fluid Mechanics
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  • Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases
  • Technology: Mechanical engineering and machinery
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The category Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics 151 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Applied Koopmanism and was published in 2012. The most recent citation comes from a 2024 study titled ModelFLOWs-app: data-driven post-processing and reduced order modelling tools. This article reached its peak citation in 2022, with 56 citations. It has been cited in 168 different journals, 16% of which are open access. Among related journals, the Physics of Fluids cited this research the most, with 42 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year