Personal profile
Personal profile
He is a Researcher in applied mathematics with the IDEFIX team at Inria. He is also a Lecturer at École Polytechnique.
Research interests
His general research interests lie in numerical methods for PDEs and integral equations, inverse problems, scientific machine learning, and approximation theory.
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Collaborations and top research areas from the last five years
Research output
- 15 Article
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COMPUTING SINGULAR AND NEAR-SINGULAR INTEGRALS OVER CURVED BOUNDARY ELEMENTS: THE STRONGLY SINGULAR CASE
Montanelli, H., Collino, F. & Haddar, H., 1 Jan 2024, In: SIAM Journal on Scientific Computing. 46, 6, p. A3756-A3778Research output: Contribution to journal › Article › peer-review
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The Linear Sampling Method for Data Generated by Small Random Scatterers
Garnier, J., Haddar, H. & Montanelli, H., 1 Jan 2024, In: SIAM Journal on Imaging Sciences. 17, 4, p. 2142-2173 32 p.Research output: Contribution to journal › Article › peer-review
Open Access -
The Linear Sampling Method for Random Sources
Garnier, J., Haddar, H. & Montanelli, H., 1 Jan 2023, In: SIAM Journal on Imaging Sciences. 16, 3, p. 1572-1593 22 p.Research output: Contribution to journal › Article › peer-review
Open Access -
COMPUTING WEAKLY SINGULAR AND NEAR-SINGULAR INTEGRALS OVER CURVED BOUNDARY ELEMENTS
Montanelli, H., Aussal, M. & Haddar, H., 1 Dec 2022, In: SIAM Journal on Scientific Computing. 44, 6, p. A3728-A3753Research output: Contribution to journal › Article › peer-review
Open Access -
DEEP RELU NETWORKS OVERCOME the CURSE of DIMENSIONALITY for GENERALIZED BANDLIMITED FUNCTIONS*
Montanelli, H., Yang, H. & Du, Q., 1 Jan 2021, In: Journal of Computational Mathematics. 39, 6, p. 801-815 15 p.Research output: Contribution to journal › Article › peer-review
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Error bounds for deep ReLU networks using the Kolmogorov–Arnold superposition theorem
Montanelli, H. & Yang, H., 1 Sept 2020, In: Neural Networks. 129, p. 1-6 6 p.Research output: Contribution to journal › Article › peer-review
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Solving periodic semilinear stiff PDEs in 1D, 2D and 3D with exponential integrators
Montanelli, H. & Bootland, N., 1 Dec 2020, In: Mathematics and Computers in Simulation. 178, p. 307-327 21 p.Research output: Contribution to journal › Article › peer-review
Open Access -
New Error Bounds for Deep ReLU Networks Using Sparse Grids
Montanelli, H. & Du, Q., 1 Jan 2019, In: SIAM Journal on Mathematics of Data Science. 1, 1, p. 78-92 15 p.Research output: Contribution to journal › Article › peer-review
Open Access -
A spectral method for nonlocal diffusion operators on the sphere
Slevinsky, R. M., Montanelli, H. & Du, Q., 1 Nov 2018, In: Journal of Computational Physics. 372, p. 893-911 19 p.Research output: Contribution to journal › Article › peer-review
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Fourth-order time-stepping for stiff PDEs on the sphere
Montanelli, H. & Nakatsukasa, Y., 1 Jan 2018, In: SIAM Journal on Scientific Computing. 40, 1, p. A421-A451Research output: Contribution to journal › Article › peer-review
Open Access