22 citations · 39 across the 7 of their papers we have counts for
3 papers · 1 filter
Multi-level Neural Networks for Accurate Solutions of Boundary-Value Problems
Ziad Aldirany, Régis Cottereau, Marc Laforest +1
The solution to partial differential equations using deep learning approaches has shown promising results for several classes of initial and boundary-value problems. However, their…
Weak localization in radiative transfer of acoustic waves in a randomly-fluctuating slab
Adel Messaoudi, Régis Cottereau, Christophe Gomez
This paper concerns the derivation of radiative transfer equations for acoustic waves propagating in a randomly fluctuating slab (between two parallel planes) in the weak-scatterin…
Operator approximation of the wave equation based on deep learning of Green's function
Ziad Aldirany, Régis Cottereau, Marc Laforest +1
Deep operator networks (DeepONets) have demonstrated their capability of approximating nonlinear operators for initial- and boundary-value problems. One attractive feature of DeepO…