Hadrien Montanelli

Identifiants chercheurs

IdHAL :

hadrien-montanelli

ORCID :

0009-0005-1742-9828

arXiv :

montanelli_h_1

Présentation

I am a Researcher in applied mathematics with the IDEFIX team at Inria. I am also a Lecturer at École Polytechnique. My general research interests lie in numerical methods for PDEs and integral equations, inverse problems, scientific machine learning, and approximation theory.

Publications

Pré-publication, Document de travail (3)

A neural operator framework for solving inverse scattering problems Victor Chenu,Houssem Haddar,Hadrien Montanelli 2026 Pré-publication, Document de travail hal-05558536v1
Nonlocal vector calculus on the sphere Hadrien Montanelli,Richard Mikael Slevinsky,Qiang Du 2025 Pré-publication, Document de travail (preprint/prepublication) hal-05129748v1
Convergence rates of curved boundary element methods for the 3D Laplace and Helmholtz equations Luiz Faria,Pierre Marchand,Hadrien Montanelli 2025 Pré-publication, Document de travail hal-05200671v1

Cours (1)

Machine Learning for Scientific Computing and Numerical Analysis Hadrien Montanelli Master. France. 2025 Cours hal-04976856v1

Article dans une revue (14)

Computing singular and near-singular integrals over curved boundary elements: The strongly singular case Hadrien Montanelli,Francis Collino,Houssem Haddar SIAM Journal on Scientific Computing, 2024, 46 (6), pp.A3756-A3778. ⟨10.1137/23M1605594⟩ Article dans une revue hal-04224658v1
The linear sampling method for data generated by small random scatterers Josselin Garnier,Houssem Haddar,Hadrien Montanelli SIAM Journal on Imaging Sciences, 2024, 17 (4), pp.2142-2173. ⟨10.1137/24M1650417⟩ Article dans une revue hal-04526042v1
The linear sampling method for random sources Josselin Garnier,Houssem Haddar,Hadrien Montanelli SIAM Journal on Imaging Sciences, 2023, 16 (3), pp.1572-1593. ⟨10.1137/22M1531336⟩ Article dans une revue hal-03832969v1
Computing weakly singular and near-singular integrals over curved boundary elements Hadrien Montanelli,Matthieu Aussal,Houssem Haddar SIAM Journal on Scientific Computing, 2022, 44 (6), pp.A3728-A3753. ⟨10.1137/21M1462027⟩ Article dans une revue hal-03518653v4
Deep ReLU networks overcome the curse of dimensionality for generalized bandlimited functions Hadrien Montanelli,Qiang Du,Haizhao Yang Journal of Computational Mathematics -International Edition-, 2021, 39 (6), pp.801-815. ⟨10.4208/jcm.2007-m2019-0239⟩ Article dans une revue hal-04508139v1
Solving periodic semilinear stiff PDEs in 1D, 2D and 3D with exponential integrators Hadrien Montanelli,Niall Bootland Mathematics and Computers in Simulation, 2020, 178, pp.307-327. ⟨10.1016/j.matcom.2020.06.008⟩ Article dans une revue hal-04508135v1
Error bounds for deep ReLU networks using the Kolmogorov–Arnold superposition theorem Hadrien Montanelli,Haizhao Yang Neural Networks, 2020, 129, pp.1-6. ⟨10.1016/j.neunet.2019.12.013⟩ Article dans une revue hal-04508131v1
New error bounds for deep ReLU networks using sparse grids Hadrien Montanelli,Qiang Du SIAM Journal on Mathematics of Data Science, 2019, 1 (1), pp.78-92. ⟨10.1137/18M1189336⟩ Article dans une revue hal-04508123v1
Fourth-order time-stepping for stiff PDEs on the sphere Hadrien Montanelli,Yuji Nakatsukasa SIAM Journal on Scientific Computing, 2018, 40 (1), pp.A421-A451. ⟨10.1137/17M1112728⟩ Article dans une revue hal-04508111v1
A spectral method for nonlocal diffusion operators on the sphere Richard Mikaël Slevinsky,Hadrien Montanelli,Qiang Du Journal of Computational Physics, 2018, 372, pp.893-911. ⟨10.1016/j.jcp.2018.06.024⟩ Article dans une revue hal-04508115v1
Spherical caps in cell polarization Rocky Diegmiller,Hadrien Montanelli,Cyrill Muratov,Stanislav Shvartsman Biophysical Journal, 2018, 115 (1), pp.26-30. ⟨10.1016/j.bpj.2018.05.033⟩ Article dans une revue hal-04508119v1
Computing planar and spherical choreographies Hadrien Montanelli,Nikola Gushterov SIAM Journal on Applied Dynamical Systems, 2016, 15 (1), pp.235-256. ⟨10.1137/15M1024652⟩ Article dans une revue hal-04508103v1
Computing hyperbolic choreographies Hadrien Montanelli Regular and Chaotic Dynamics, 2016, 21 (5), pp.522-530. ⟨10.1134/S1560354716050038⟩ Article dans une revue hal-04508107v1
Extension of Chebfun to periodic functions Grady Wright,Mohsin Javed,Hadrien Montanelli,Lloyd Trefethen SIAM Journal on Scientific Computing, 2015, 37 (5), pp.C554-C573. ⟨10.1137/141001007⟩ Article dans une revue hal-04508093v1