Recursive dynamic mode decomposition of transient and post-transient wake flows

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On Numerical Approximations of the Koopman Operator (2020, background): “It has a number of extensions (many of which are summarized in [23]), for example, Exact DMD [24]; Bayesian/subspace DMD [25]; Optimized DMD [26,27]; Recursive DMD [28]; Variational DMD [29]; DMD with control [30,31]; sparsity promoting DMD [32]; DMD for noisy systems [33–35].”
Multi-scale proper orthogonal decomposition of complex fluid flows (2018, methodology): “Noack et al. (2016) uses a recursive approach for forcing the orthogonality in the DMD modes while minimizing the loss of spectral purity.”
Constrained sparse Galerkin regression (2016, methodology): “The dynamics of the system on the final attractor is then equidistantly sampled using M = 1000 velocity field snapshots with a sampling frequency approximately 30 times larger than the vortex shedding frequency (Noack et al. 2016).”
Spectral proper orthogonal decomposition and its relationship to dynamic mode decomposition and resolvent analysis (2017, methodology): “Noack et al. (2016) developed a method called recursive dynamic mode decomposition (RDMD) which combines features of space-only POD and DMD.”