2 papers
math.FA2025
Stochastic Euler Schemes and Dissipative Evolutions in the Space of Probability Measures
Giulia Cavagnari, Giuseppe Savaré, Giacomo Enrico Sodini
We study the convergence of stochastic time-discretization schemes for evolution equations driven by random velocity fields, including examples like stochastic gradient descent and…
math.AP2025
A structure preserving discretization for the Derrida-Lebowitz-Speer-Spohn equation based on diffusive transport
Daniel Matthes, Eva-Maria Rott, Giuseppe Savaré +1
We propose a spatial discretization of the fourth-order nonlinear DLSS equation on the circle. Our choice of discretization is motivated by a novel gradient flow formulation with r…