Here you can find a list of my scientific contributions.

Preprints

1. F. Léger, G. Todeschi, F.X. Vialard. Nonnegative cross-curvature in infinite dimensions: synthetic definition and spaces of measures. arXiv preprint arXiv:2409.18112, 2024. (pdf)

Journal Publications

1. T. O. Gallouet, A. Natale, G. Todeschi. Metric extrapolation in the Wasserstein space. arXiv preprint arXiv:2407.10516, 2024. To appear in Calculus of Variations and Partial Differential Equations. (pdf)
2. G. Todeschi, L. Métivier, J.M. Mirebeau. Unbalanced L1 optimal transport for vector valued measures and application to Full Waveform Inversion. Journal of Computational Physics, 523:113657, 2025. (pdf)
3. T. O. Gallouet, A. Natale, G. Todeschi. From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows. Mathematics of Computation, 93(350), 2769-2810, 2024. (pdf)
4. E. Facca, G. Todeschi, A. Natale, M. Benzi. Efficient preconditioners for solving dynamical optimal transport via interior point methods. SIAM Journal on Scientific Computing, 46(3), A1397-A1422, 2024. (pdf)
5. A. Natale, G. Todeschi. Computation of optimal transport with finite volumes. ESAIM: Mathematical Modelling and Numerical Analysis, 55(5):1847-1871, 2021. (pdf)
6. A. Natale, G. Todeschi. A mixed finite element discretization of dynamical optimal transport. Journal of Scientific Computing, 91(2), 1-26, 2022 (pdf)
7. C. Cancès, T. O. Gallouet, G. Todeschi. A variational finite volume scheme for Wasserstein gradient flows. Numer. Math., 146(3), pp. 437-480, 2020. (pdf)

Conference proceedings

1. A. Natale, G. Todeschi. TPFA finite volume approximation of Wasserstein gradient flows. FVCA9 - International Conference on Finite Volumes for Complex Applications IX, 2020, Bergen, Norway. (pdf)