6 citations · 9 across the 3 of their papers we have counts for
3 papers
physics.comp-ph2023★ 3 cited
Solving stiff ordinary differential equations using physics informed neural networks (PINNs): simple recipes to improve training of vanilla-PINNs
Hubert Baty
Physics informed neural networks (PINNs) are nowadays used as efficient machine learning methods for solving differential equations. However, vanilla-PINNs fail to learn complex pr…
cs.LG2023★ 6 cited
Solving differential equations using physics informed deep learning: a hand-on tutorial with benchmark tests
Hubert Baty, Leo Baty
We revisit the original approach of using deep learning and neural networks to solve differential equations by incorporating the knowledge of the equation. This is done by adding a…
physics.flu-dyn2022
Hyperbolic method to explore multiplicity flow solutions in a four-sided lid-driven cavity
Hubert Baty
In this study, the hyperbolic method is adopted to explore the flow field states of incompressible flow in a four-sided lid-driven square cavity. In particular, we focus on the flo…