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20172026
most citedUsing discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps

13 citations · 28 across the 16 of their papers we have counts for

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Showing 2025 · math.NAShow all

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math.NA2025

Approximation properties of neural ODEs

Arturo De Marinis, Davide Murari, Elena Celledoni +3

We study the approximation properties of neural ordinary differential equations (neural ODEs) in the space of continuous functions. Since a neural ODE requires input and output dim…

math.NA2025

Conditional Stability of the Euler Method on Riemannian Manifolds

Marta Ghirardelli, Brynjulf Owren, Elena Celledoni

We derive nonlinear stability results for numerical integrators on Riemannian manifolds, by imposing conditions on the ODE vector field and the step size that makes the numerical s…