Hadrien Montanelli

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Libre accès
14
Documents
Affiliation actuelle
  • Inversion of Differential Equations For Imaging and physiX (IDEFIX)
Contact

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.

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Publications

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-04224658 v1

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-04526042 v1

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-03832969 v1

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-04508139 v1

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-04508135 v1

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-04508131 v1

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-04508123 v1

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-04508111 v1

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-04508115 v1

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-04508119 v1

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-04508103 v1

Computing hyperbolic choreographies

Hadrien Montanelli
Regular and Chaotic Dynamics, 2016, 21 (5), pp.522-530. ⟨10.1134/S1560354716050038⟩
Article dans une revue hal-04508107 v1

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-04508093 v1