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math.AP2025
Convergence of the fully discrete JKO scheme
Anastasiia Hraivoronska, Filippo Santambrogio
The JKO scheme provides the discrete-in-time approximation for the solutions of evolutionary equations with Wasserstein gradient structure. We study a natural space-discretization…
math.AP2025
Using Sinkhorn in the JKO scheme adds linear diffusion
Aymeric Baradat, Anastasiia Hraivoronska, Filippo Santambrogio
The JKO scheme is a time-discrete scheme of implicit Euler type that allows to construct weak solutions of evolution PDEs which have a Wasserstein gradient structure. The purpose o…