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Hadrien Montanelli

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  • 118511
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Présentation

I am a Researcher (Chargé de Recherche) in applied mathematics with the IDEFIX team at Inria. I am also a Lecturer (Chargé d'Enseignement) 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

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-04513683v1

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

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

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

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

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

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

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

Gradient span analysis method: Application to the multipoint aerodynamic shape optimization of a turbine cascade

Hadrien Montanelli , Marc Montagnac , François Gallard
Journal of Turbomachinery, 2015, 137 (9), ⟨10.1115/1.4030016⟩
Article dans une revue hal-04508912v1

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