11 citations · 36 across the 12 of their papers we have counts for
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math.NA2022★ 1 cited
Designing Neural Networks for Hyperbolic Conservation Laws
Zhen Chen, Anne Gelb, Yoonsang Lee
We propose a new data-driven method to learn the dynamics of an unknown hyperbolic system of conservation laws using deep neural networks. Inspired by classical methods in numerica…
cs.LG2022★ 4 cited
A Neural Network Approach for Homogenization of Multiscale Problems
Jihun Han, Yoonsang Lee
We propose a neural network-based approach to the homogenization of multiscale problems. The proposed method uses a derivative-free formulation of a training loss, which incorporat…
cs.LG2022★ 5 cited
Hierarchical Learning to Solve Partial Differential Equations Using Physics-Informed Neural Networks
Jihun Han, Yoonsang Lee
The neural network-based approach to solving partial differential equations has attracted considerable attention due to its simplicity and flexibility in representing the solution…