Journal Articles and Preprints

  1. [1] David P Bourne, Thomas O Gallouët, Quentin Mérigot, Andrea Natale (2025), Semi-discrete convex order and Laguerre tessellation fitting. [HAL]
  2. [2] Thomas O Gallouët, Andrea Natale, Gabriele Todeschi (2025), Metric extrapolation in the Wasserstein space, Calculus of Variations and Partial Differential Equations, vol. 64(5), pp. 147. [HAL] [DOI]
  3. [3] Matthieu Alfaro, Maxime Herda, Andrea Natale (2025), Infinitely many saturated travelling waves for epidemic models with distributed-contacts, arXiv preprint arXiv:2502.11589. [HAL]
  4. [4] Enrico Facca, Gabriele Todeschi, Andrea Natale, Michele Benzi (2024), Efficient preconditioners for solving dynamical optimal transport via interior point methods, SIAM Journal on Scientific Computing, vol. 46(3), pp. A1397--A1422. SIAM. [HAL]
  5. [5] Thomas Gallouët, Andrea Natale, Gabriele Todeschi (2024), From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows, Mathematics of Computation. [HAL]
  6. [6] Clément Cancès, Léonard Monsaingeon, Andrea Natale (2024), Discretizing the Fokker-Planck equation with second-order accuracy: a dissipation driven approach, arXiv preprint arXiv:2410.03367. [HAL]
  7. [7] Thomas O Gallouët, Quentin Merigot, Andrea Natale (2022), Convergence of a Lagrangian discretization for barotropic fluids and porous media flow, SIAM Journal on Mathematical Analysis, vol. 54(3), pp. 2990--3018. SIAM. [HAL]
  8. [8] Andrea Natale, Gabriele Todeschi (2022), A mixed finite element discretization of dynamical optimal transport, Journal of Scientific Computing, vol. 91(2), pp. 1--26. Springer. [HAL]
  9. [9] Andrea Natale, Gabriele Todeschi (2021), Computation of optimal transport with finite volumes, ESAIM: M2AN, vol. 55(5), pp. 1847--1871. [HAL]
  10. [10] Andrea Natale, Gabriele Todeschi (2020), TPFA Finite Volume approximation of Wasserstein gradient flows., Accepted in the conference: Finite Volumes for Complex Applications, arXiv preprint arXiv:2001.07005. [HAL]
  11. [11] Andrea Natale, François-Xavier Vialard (2019), Embedding Camassa-Holm equations in incompressible Euler, Journal of Geometric Mechanics, vol. 11(2), pp. 205--223. [HAL]
  12. [12] Thomas Gallouët, Andrea Natale, François-Xavier Vialard (2019), Generalized compressible flows and solutions of the H(div) geodesic problem, Archive for Rational Mechanics and Analysis (to appear), arXiv preprint arXiv:1806.10825. [HAL]
  13. [13] Andrea Natale, Colin J Cotter (2017), Scale-selective dissipation in energy-conserving finite-element schemes for two-dimensional turbulence, Quarterly Journal of the Royal Meteorological Society, vol. 143(705), pp. 1734--1745. Wiley Online Library.
  14. [14] Andrea Natale, Colin J Cotter (2017), A variational H (div) finite-element discretization approach for perfect incompressible fluids, IMA J. Numer. Anal.
  15. [15] Andrea Natale, Jemma Shipton, Colin J Cotter (2016), Compatible finite element spaces for geophysical fluid dynamics, Dynamics and Statistics of the Climate System, vol. 1(1). Oxford University Press.
  16. [16] Simone Di Marino, Andrea Natale, Rabah Tahraoui, François-Xavier Vialard (2019), Metric completion of Diff ([0, 1]) with the H^1 right-invariant metric, arXiv preprint arXiv:1906.09139. [HAL]
  17. [17] CJ Cotter, DA Ham, ATT McRae, L Mitchell, Andrea Natale (2014), On the shallow atmosphere approximation in finite element dynamical cores, arXiv preprint arXiv:1410.3069.
  18. [18] Stefano Discetti, Andrea Natale, Tommaso Astarita (2013), Spatial filtering improved tomographic PIV, Experiments in fluids, vol. 54(4), pp. 1505. Springer.
  19. [19] Andrea Natale (2023), Gradient flows of interacting Laguerre cells as discrete porous media flows, ESAIM: M2AN (to appear). arXiv preprint arXiv:2304.05069. [HAL]

Thesis

The full manuscript of my PhD thesis can be found here.