Asymptotic-Preserving Neural Networks for multiscale hyperbolic models of epidemic spread

no code implementations • 25 Jun 2022 • Giulia Bertaglia, Chuan Lu, Lorenzo Pareschi, Xueyu Zhu

To allow the neural network to operate uniformly with respect to the small scales, it is desirable that the neural network satisfies an Asymptotic-Preservation (AP) property in the learning process.

Bifidelity data-assisted neural networks in nonintrusive reduced-order modeling

no code implementations • 1 Feb 2019 • Chuan Lu, Xueyu Zhu

In this paper, we present a new nonintrusive reduced basis method when a cheap low-fidelity model and expensive high-fidelity model are available.