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math.NA2023★ 2 cited
Hamiltonian reduction using a convolutional auto-encoder coupled to an Hamiltonian neural network
Raphaël Côte, Emmanuel Franck, Laurent Navoret +2
The reduction of Hamiltonian systems aims to build smaller reduced models, valid over a certain range of time and parameters, in order to reduce computing time. By maintaining the…
math.NA2023
An optimal control deep learning method to design artificial viscosities for Discontinuous Galerkin schemes
L éo Bois, Emmanuel Franck, Laurent Navoret +1
In this paper, we propose a method for constructing a neural network viscosity in order to reduce the non-physical oscillations generated by high-order Discontiuous Galerkin (DG) m…