Author

O. Mula

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Preprint Sep 2026

Symplectic filtering of Hamiltonian dynamics with moving sensors

While structure-preserving methods for the forward simulation of Hamiltonian systems are well established, the mathematical foundations of their data assimilation and filtering counterparts remain comparatively less developed, particularly regarding rigorous accuracy guarantees. To address this gap, we propose an onlin...

Olga Mula, C. Pagliantini, Federico Vismara · 0 citations

Jul 2026

A Dynamical Approximation Scheme on the Stiefel manifold for Wasserstein Gradient Flows

We propose a meshless Lagrangian dynamical method for approximating Wasserstein gradient flows (WGFs). The evolving measure is represented as the pushforward of the initial measure $\mu_0$ through a transport map in the weighted Hilbert space $L^2_{\mu_0}$. We approximate this map in time-dependent linear subspaces of...

Isabella Carla Gonnella, O. Mula, F. Pichi et al. · arXiv.org · 0 citations