De-biasing the dynamic mode decomposition for applied Koopman spectral analysis of noisy datasets

Characterizing and correcting for the effect of sensor noise in the dynamic mode decomposition

(2016) Scott T. M. Dawson et al.   EXPERIMENTS IN FLUIDS

Estimation of perturbations in robotic behavior using dynamic mode decomposition

(2015) Erik Berger et al.   ADVANCED ROBOTICS

A Data–Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

(2015) Matthew O. Williams et al.   JOURNAL OF NONLINEAR SCIENCE

PIV uncertainty quantification from correlation statistics

(2015) Bernhard Wieneke   MEASUREMENT SCIENCE and TECHNOLOGY

A dynamic mode decomposition approach for large and arbitrarily sampled systems

(2015) Florimond Guéniat et al.   PHYSICS OF FLUIDS

Discovering dynamic patterns from infectious disease data using dynamic mode decomposition

(2015) Joshua L. Proctor et al.   International Health

Real-time tumor ablation simulation based on the dynamic mode decomposition method

(2014) George C. Bourantas et al.   MEDICAL PHYSICS

Effects of weak noise on oscillating flows: Linking quality factor, Floquet modes, and Koopman spectrum

(2014) Shervin Bagheri   PHYSICS OF FLUIDS

Sparsity-promoting dynamic mode decomposition

(2014) Mihailo R. Jovanović et al.   PHYSICS OF FLUIDS

Dynamic mode decomposition for large and streaming datasets

(2014) Maziar S. Hemati et al.   PHYSICS OF FLUIDS

Optimal mode decomposition for unsteady flows

(2013) A. Wynn et al.   JOURNAL OF FLUID MECHANICS

Uncertainty on PIV mean and fluctuating velocity due to bias and random errors

(2013) Brandon M Wilson et al.   MEASUREMENT SCIENCE and TECHNOLOGY

Analysis of Fluid Flows via Spectral Properties of the Koopman Operator

(2012) Igor Mezić   Annual Review of Fluid Mechanics

Applied Koopmanism

(2012) Marko Budišić et al.   CHAOS

A method for automatic estimation of instantaneous local uncertainty in particle image velocimetry measurements

(2012) Benjamin H. Timmins et al.   EXPERIMENTS IN FLUIDS

Analysis of time-resolved PIV measurements of a confined turbulent jet using POD and Koopman modes

(2012) Onofrio Semeraro et al.   EXPERIMENTS IN FLUIDS

Experimental investigation of nonlinear instabilities in annular liquid sheets

(2012) D. Duke et al.   JOURNAL OF FLUID MECHANICS

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

(2012) Kevin K. Chen et al.   JOURNAL OF NONLINEAR SCIENCE

An error analysis of the dynamic mode decomposition

(2011) Daniel Duke et al.   EXPERIMENTS IN FLUIDS

Application of the dynamic mode decomposition to experimental data

(2011) Peter J. Schmid   EXPERIMENTS IN FLUIDS

A randomized algorithm for the decomposition of matrices

(2010) Per-Gunnar Martinsson et al.   APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS

Dynamic mode decomposition of numerical and experimental data

(2010) PETER J. SCHMID   JOURNAL OF FLUID MECHANICS

Applications of the dynamic mode decomposition

(2010) P. J. Schmid et al.   THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS

Spectral analysis of nonlinear flows

(2009) CLARENCE W. ROWLEY et al.   JOURNAL OF FLUID MECHANICS