J
Jonathan H. Tu
Researcher at Princeton University
Publications - 19
Citations - 3811
Jonathan H. Tu is an academic researcher from Princeton University. The author has contributed to research in topics: Dynamic mode decomposition & Compressed sensing. The author has an hindex of 13, co-authored 19 publications receiving 2904 citations. Previous affiliations of Jonathan H. Tu include University of California, Berkeley & University of Washington.
Papers
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On dynamic mode decomposition: Theory and applications
TL;DR: In this paper, the authors define dynamic mode decomposition (DMD) as the eigendecomposition of an approximating linear operator, and propose sampling strategies that increase computational efficiency and mitigate the effects of noise.
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On Dynamic Mode Decomposition: Theory and Applications
TL;DR: A theoretical framework in which dynamic mode decomposition is defined as the eigendecomposition of an approximating linear operator, which generalizes DMD to a larger class of datasets, including nonsequential time series, and shows that under certain conditions, DMD is equivalent to LIM.
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Variants of Dynamic Mode Decomposition: Boundary Condition, Koopman, and Fourier Analyses
TL;DR: It is shown that expansion in DMD modes is unique under certain conditions, and an “optimized” DMD is introduced that computes an arbitrary number of dynamical modes from a data set and is superior at calculating physically relevant frequencies, and is less numerically sensitive.
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Compressed sensing and dynamic mode decomposition
TL;DR: This work develops compressed sensing strategies for computing the dynamic mode decomposition (DMD) from heavily subsampled or compressed data and demonstrates the invariance of the DMD algorithm to left and right unitary transformations when data and modes are sparse in some transform basis.
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Low-frequency dynamics in a shock-induced separated flow
TL;DR: In this paper, the low-frequency unsteadiness in the direct numerical simulation of a Mach 2.9 shock wave/turbulent boundary layer interaction with mean flow separation is analyzed using dynamic mode decomposition (DMD).