most citedPiecewise DMD for oscillatory and Turing spatio-temporal dynamics

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math.NA2023★ 1 cited

Piecewise DMD for oscillatory and Turing spatio-temporal dynamics

Alessandro Alla, Angela Monti, Ivonne Sgura

Dynamic Mode Decomposition (DMD) is an equation-free method that aims at reconstructing the best linear fit from temporal datasets. In this paper, we show that DMD does not provide…

math.NA2022

Adaptive POD-DEIM correction for Turing pattern approximation in reaction-diffusion PDE systems

Alessandro Alla, Angela Monti, Ivonne Sgura

We investigate a suitable application of Model Order Reduction (MOR) techniques for the numerical approximation of Turing patterns, that are stationary solutions of reaction-diffus…