Publications

Garnier, Haddar & M., The linear sampling method for data generated by small random scatterers, submitted
arXiv


M., Collino & Haddar, Computing singular and near-singular integrals over curved boundary elements: The strongly singular case, submitted
arXiv


Garnier, Haddar & M., The linear sampling method for random sources, SIAM J. Imag. Sci. 16 (2023)
doi arXiv


M., Aussal & Haddar, Computing weakly singular and near-singular integrals over curved boundary elements, SIAM J. Sci. Comput. 44 (2022)
doi arXiv


M., Yang & Du, Deep ReLU networks overcome the curse of dimensionality for generalized bandlimited functions, J. Comp. Math. 39 (2021)
doi arXiv


M. & Bootland, Solving periodic semilinear stiff PDEs in 1D, 2D and 3D with exponential integrators, Math. Comput. Simul. 178 (2020)
doi arXiv


M. & Yang, Error bounds for deep ReLU networks using the Kolmogorov–Arnold superposition theorem, Neural Netw. 129 (2020)
doi arXiv


M. & Du, New error bounds for deep ReLU networks using sparse grids, SIAM J. Math. Data Sci. 1 (2019)
doi arXiv


Diegmiller, M., Muratov & Shvarstman, Spherical caps in cell polarization, Biophys. J. 115 (2018)
doi


Slevinsky, M. & Du, A spectral method for nonlocal diffusion operators on the sphere, J. Comput. Phys. 372 (2018)
doi arXiv


M. & Nakatsukasa, Fourth-order time-stepping for stiff PDEs on the sphere, SIAM J. Sci. Comput. 40 (2018)
doi arXiv


M., Numerical Algorithms for Differential Equations with Periodicity, Ph.D. thesis, University of Oxford (2017)
ora


M., Computing hyperbolic choreographies, Regul. Chaotic Dyn. 21 (2016)
doi arXiv


M. & Gushterov, Computing planar and spherical choreographies, SIAM J. Appl. Dyn. Syst. 15 (2016)
doi arXiv


Wright, Javed, M. & Trefethen, Extension of Chebfun to periodic functions, SIAM J. Sci. Comput. 37 (2015)
doi arXiv


M., Montagnac & Gallard, Gradient span analysis method: Application to the multipoint aerodynamic shape optimization of a turbine cascade, ASME J. Turbomach. 137 (2015)
doi