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

Cours (1)

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

Pré-publication, Document de travail (2)

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

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