most citedUsing recurrent neural networks for nonlinear component computation in advection-dominated reduced-order models

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math.DS2019

Deep Learning Models for Global Coordinate Transformations that Linearize PDEs

Craig Gin, Bethany Lusch, Steven L. Brunton +1

We develop a deep autoencoder architecture that can be used to find a coordinate transformation which turns a nonlinear PDE into a linear PDE. Our architecture is motivated by the…