New error bounds for deep ReLU networks using sparse grids H Montanelli, Q Du SIAM Journal on Mathematics of Data Science 1 (1), 78-92, 2019 | 144 | 2019 |
Error bounds for deep ReLU networks using the Kolmogorov–Arnold superposition theorem H Montanelli, H Yang Neural Networks 129, 1-6, 2020 | 78 | 2020 |
Deep ReLU networks overcome the curse of dimensionality for generalized bandlimited functions H Montanelli, H Yang, Q Du Journal of Computational Mathematics 39 (6), 801-815, 2021 | 73* | 2021 |
Extension of Chebfun to periodic functions GB Wright, M Javed, H Montanelli, LN Trefethen SIAM Journal on Scientific Computing 37 (5), C554-C573, 2015 | 64 | 2015 |
Spherical caps in cell polarization R Diegmiller, H Montanelli, CB Muratov, SY Shvartsman Biophysical Journal 115 (1), 6-30, 2018 | 39 | 2018 |
Solving periodic semilinear stiff PDEs in 1D, 2D and 3D with exponential integrators H Montanelli, N Bootland Mathematics and Computers in Simulation 178, 307-327, 2020 | 26 | 2020 |
Fourth-order time-stepping for stiff PDEs on the sphere H Montanelli, Y Nakatsukasa SIAM Journal on Scientific Computing 40 (1), A421-A451, 2018 | 17 | 2018 |
A spectral method for nonlocal diffusion operators on the sphere RM Slevinsky, H Montanelli, Q Du Journal of Computational Physics 372, 893-911, 2018 | 16 | 2018 |
Computing planar and spherical choreographies H Montanelli, NI Gushterov SIAM Journal on Applied Dynamical Systems 15 (1), 235-256, 2016 | 15 | 2016 |
Gradient span analysis method: Application to the multipoint aerodynamic shape optimization of a turbine cascade H Montanelli, M Montagnac, F Gallard Journal of Turbomachinery 137 (9), 091006, 2015 | 13 | 2015 |
Computing weakly singular and near-singular integrals over curved boundary elements H Montanelli, M Aussal, H Haddar SIAM Journal on Scientific Computing 44 (6), A3728-A3753, 2022 | 9* | 2022 |
Computing hyperbolic choreographies H Montanelli Regular and Chaotic Dynamics 21, 522-530, 2016 | 9 | 2016 |
Numerical Algorithms for Differential Equations with Periodicity H Montanelli University of Oxford, 2017 | 4 | 2017 |
The linear sampling method for random sources J Garnier, H Haddar, H Montanelli SIAM Journal on Imaging Sciences 16 (3), 1572-1593, 2023 | 3 | 2023 |
Computing singular and near-singular integrals over curved boundary elements: The strongly singular case H Montanelli, F Collino, H Haddar arXiv preprint arXiv:2309.17039, 2023 | 1 | 2023 |
The linear sampling method for data generated by small random scatterers J Garnier, H Haddar, H Montanelli arXiv preprint arXiv:2403.19482, 2024 | | 2024 |