Sharp convergence rates of boundary element methods for the 3D Helmholtz equation
Faria, Marchand & Montanelli, in prep.
Nonlocal vector calculus and nonlocal Stokes theorem on the sphere
Montanelli, Slevinsky & Du, in prep.
The linear sampling method for data generated by small random scatterers doi arXiv
Garnier, Haddar & Montanelli, SIAM J. Imag. Sci. 17 (2024)
Computing singular and near-singular integrals over curved boundary elements: The strongly singular case doi arXiv
Montanelli, Collino & Haddar, SIAM J. Sci. Comput. 46 (2024)
The linear sampling method for random sources doi arXiv
Garnier, Haddar & Montanelli, SIAM J. Imag. Sci. 16 (2023)
Computing weakly singular and near-singular integrals over curved boundary elements doi arXiv
Montanelli, Aussal & Haddar, SIAM J. Sci. Comput. 44 (2022)
Deep ReLU networks overcome the curse of dimensionality for generalized bandlimited functions doi arXiv
Montanelli, Yang & Du, J. Comp. Math. 39 (2021)
Error bounds for deep ReLU networks using the Kolmogorov–Arnold superposition theorem doi arXiv
Montanelli & Yang, Neural Netw. 129 (2020)
New error bounds for deep ReLU networks using sparse grids doi arXiv
Montanelli & Du, SIAM J. Math. Data Sci. 1 (2019)
Spherical caps in cell polarization doi
Diegmiller, Montanelli, Muratov & Shvartsman, Biophys. J. 115 (2018)
A spectral method for nonlocal diffusion operators on the sphere doi arXiv
Slevinsky, Montanelli & Du, J. Comput. Phys. 372 (2018)
Solving periodic semilinear stiff PDEs in 1D, 2D and 3D with exponential integrators doi arXiv
Montanelli & Bootland, Math. Comput. Simul. 178 (2020)
Fourth-order time-stepping for stiff PDEs on the sphere doi arXiv
Montanelli & Nakatsukasa, SIAM J. Sci. Comput. 40 (2018)
Numerical Algorithms for Differential Equations with Periodicity ora
Montanelli, Ph.D. thesis, University of Oxford (2017)
Computing hyperbolic choreographies doi arXiv
Montanelli, Regul. Chaotic Dyn. 21 (2016)
Computing planar and spherical choreographies doi arXiv
Montanelli & Gushterov, SIAM J. Appl. Dyn. Syst. 15 (2016)
Extension of Chebfun to periodic functions doi arXiv
Wright, Javed, Montanelli & Trefethen, SIAM J. Sci. Comput. 37 (2015)
Gradient span analysis method: Application to the multipoint aerodynamic shape optimization of a turbine cascade doi hal
Montanelli, Montagnac & Gallard, ASME J. Turbomach. 137 (2015)
Multipoint shape optimization with discrete adjoint method for the design of turbomachine blades pdf
Year 4 Project (2013)
Single trace integral formulations of second kind for acoustic scattering with metallic domain pdf
Year 3 Project (2012)
Géométrie pseudo-riemannienne et relativité générale pdf
Year 2 Project (2011)
Invariances, symétries et lois de conservation en physique quantique pdf
Year 1 Project (2010)