Publications

Papers in peer-reviewed journals

2023

• The linear sampling method for random sources
  Josselin Garnier, Houssem Haddar and Hadrien Montanelli
  SIAM Journal on Imaging Sciences, vol. 16 (3), pp. 1572-1593, Society for Industrial and Applied Mathematics, 2023   

2022

• Computing weakly singular and near-singular integrals over curved boundary elements
  Hadrien Montanelli, Matthieu Aussal and Houssem Haddar
  SIAM Journal on Scientific Computing, vol. 44 (6), pp. A3728-A3753, Society for Industrial and Applied Mathematics, 2022   

2021

• Deep ReLU networks overcome the curse of dimensionality for generalized bandlimited functions
  Hadrien Montanelli, Qiang Du and Haizhao Yang
  Journal of Computational Mathematics -International Edition-, vol. 39 (6), pp. 801-815, Global Science Press, 2021   

2020

• Error bounds for deep ReLU networks using the Kolmogorov–Arnold superposition theorem
  Hadrien Montanelli and Haizhao Yang
  Neural Networks, vol. 129, pp. 1-6, Elsevier, 2020   
• Solving periodic semilinear stiff PDEs in 1D, 2D and 3D with exponential integrators
  Hadrien Montanelli and Niall Bootland
  Mathematics and Computers in Simulation, vol. 178, pp. 307-327, Elsevier, 2020   

2019

• New error bounds for deep ReLU networks using sparse grids
  Hadrien Montanelli and Qiang Du
  SIAM Journal on Mathematics of Data Science, vol. 1 (1), pp. 78-92, Society for Industrial and Applied Mathematics, 2019   

2018

• A spectral method for nonlocal diffusion operators on the sphere
  Richard Mikaël Slevinsky, Hadrien Montanelli and Qiang Du
  Journal of Computational Physics, vol. 372, pp. 893-911, Elsevier, 2018   
• Fourth-order time-stepping for stiff PDEs on the sphere
  Hadrien Montanelli and Yuji Nakatsukasa
  SIAM Journal on Scientific Computing, vol. 40 (1), pp. A421-A451, Society for Industrial and Applied Mathematics, 2018   
• Spherical caps in cell polarization
  Rocky Diegmiller, Hadrien Montanelli, Cyrill Muratov and Stanislav Shvartsman
  Biophysical Journal, vol. 115 (1), pp. 26-30, Biophysical Society, 2018   

2016

• Computing hyperbolic choreographies
  Hadrien Montanelli
  Regular and Chaotic Dynamics, vol. 21 (5), pp. 522-530, MAIK Nauka/Interperiodica, 2016   
• Computing planar and spherical choreographies
  Hadrien Montanelli and Nikola Gushterov
  SIAM Journal on Applied Dynamical Systems, vol. 15 (1), pp. 235-256, Society for Industrial and Applied Mathematics, 2016   

2015

• Extension of Chebfun to periodic functions
  Grady Wright, Mohsin Javed, Hadrien Montanelli and Lloyd Trefethen
  SIAM Journal on Scientific Computing, vol. 37 (5), pp. C554-C573, Society for Industrial and Applied Mathematics, 2015   
• Gradient span analysis method: Application to the multipoint aerodynamic shape optimization of a turbine cascade
  Hadrien Montanelli, Marc Montagnac and François Gallard
  Journal of Turbomachinery, vol. 137 (9), American Society of Mechanical Engineers, 2015   

Preprints

2024

• The linear sampling method for data generated by small random scatterers
  Josselin Garnier, Houssem Haddar and Hadrien Montanelli
  2024   

2023

• Computing singular and near-singular integrals over curved boundary elements: The strongly singular case
  Hadrien Montanelli, Francis Collino and Houssem Haddar
  2023