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20182025
most citedSurrogate Modeling for Fluid Flows Based on Physics-Constrained Deep Learning Without Simulation Data

1.1k citations · 2.5k across the 14 of their papers we have counts for

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stat.ML2018★ 105 cited

Long-time predictive modeling of nonlinear dynamical systems using neural networks

Shaowu Pan, Karthik Duraisamy

We study the use of feedforward neural networks (FNN) to develop models of nonlinear dynamical systems from data. Emphasis is placed on predictions at long times, with limited data…

math.DS2018★ 83 cited

Data-driven Discovery of Closure Models

Shaowu Pan, Karthik Duraisamy

Derivation of reduced order representations of dynamical systems requires the modeling of the truncated dynamics on the retained dynamics. In its most general form, this so-called…