Hadrien Montanelli
Unité de Mathématiques Appliquées (UMA)
Chargé de recherche Inria
I am a Researcher in applied mathematics with the IDEFIX team at Inria. I am also a Lecturer at École Polytechnique.
Research and education activities
My general research interests lie in numerical methods for PDEs and integral equations, inverse problems, scientific machine learning, and approximation theory.
HAL Publications
-
Machine Learning for Scientific Computing and Numerical Analysis
Cours Published on 01/01/2025 by Hadrien Montanelli -
Computing singular and near-singular integrals over curved boundary elements: The strongly singular case
Article dans une revue Published on 01/01/2024 co-written by Hadrien Montanelli, Francis Collino, Houssem Haddar -
The linear sampling method for data generated by small random scatterers
Article dans une revue Published on 01/01/2024 co-written by Josselin Garnier, Houssem Haddar, Hadrien Montanelli -
The linear sampling method for random sources
Article dans une revue Published on 01/01/2023 co-written by Josselin Garnier, Houssem Haddar, Hadrien Montanelli -
Deep ReLU networks overcome the curse of dimensionality for generalized bandlimited functions
Article dans une revue Published on 01/01/2021 co-written by Hadrien Montanelli, Qiang Du, Haizhao Yang -
Error bounds for deep ReLU networks using the Kolmogorov–Arnold superposition theorem
Article dans une revue Published on 01/01/2020 co-written by Hadrien Montanelli, Haizhao Yang -
Solving periodic semilinear stiff PDEs in 1D, 2D and 3D with exponential integrators
Article dans une revue Published on 01/01/2020 co-written by Hadrien Montanelli, Niall Bootland -
New error bounds for deep ReLU networks using sparse grids
Article dans une revue Published on 01/01/2019 co-written by Hadrien Montanelli, Qiang Du -
A spectral method for nonlocal diffusion operators on the sphere
Article dans une revue Published on 01/01/2018 co-written by Richard Mikaël Slevinsky, Hadrien Montanelli, Qiang Du -
Fourth-order time-stepping for stiff PDEs on the sphere
Article dans une revue Published on 01/01/2018 co-written by Hadrien Montanelli, Yuji Nakatsukasa -
Spherical caps in cell polarization
Article dans une revue Published on 01/01/2018 co-written by Rocky Diegmiller, Hadrien Montanelli, Cyrill Muratov, Stanislav Shvartsman -
Computing hyperbolic choreographies
Article dans une revue Published on 01/01/2016 by Hadrien Montanelli -
Computing planar and spherical choreographies
Article dans une revue Published on 01/01/2016 co-written by Hadrien Montanelli, Nikola Gushterov -
Extension of Chebfun to periodic functions
Article dans une revue Published on 01/01/2015 co-written by Grady Wright, Mohsin Javed, Hadrien Montanelli, Lloyd Trefethen