CV HAL - Hadrien Montanelli

Publications

A neural operator framework for solving inverse scattering problems

Victor Chenu , Houssem Haddar , Hadrien Montanelli

2026

Pré-publication, Document de travail hal-05558536v1

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

Nonlocal vector calculus on the sphere

Hadrien Montanelli , Richard Mikael Slevinsky , Qiang Du

2025

Pré-publication, Document de travail (preprint/prepublication) hal-05129748v1

Machine Learning for Scientific Computing and Numerical Analysis

Victorita Dolean , Hadrien Montanelli

Master. France. 2026

Cours hal-04976856v2

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

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

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

Hadrien Montanelli

Présentation

Publications

Publications

A neural operator framework for solving inverse scattering problems

Convergence rates of curved boundary element methods for the 3D Laplace and Helmholtz equations

Nonlocal vector calculus on the sphere

Machine Learning for Scientific Computing and Numerical Analysis

Computing singular and near-singular integrals over curved boundary elements: The strongly singular case

The linear sampling method for data generated by small random scatterers

The linear sampling method for random sources

Computing weakly singular and near-singular integrals over curved boundary elements

Deep ReLU networks overcome the curse of dimensionality for generalized bandlimited functions

Error bounds for deep ReLU networks using the Kolmogorov–Arnold superposition theorem

Solving periodic semilinear stiff PDEs in 1D, 2D and 3D with exponential integrators

New error bounds for deep ReLU networks using sparse grids

Fourth-order time-stepping for stiff PDEs on the sphere

A spectral method for nonlocal diffusion operators on the sphere

Spherical caps in cell polarization

Computing planar and spherical choreographies

Computing hyperbolic choreographies

Extension of Chebfun to periodic functions