A new variational finite volume discretization for Wasserstein gradient flows that guarantees non-negativity and energy decay, with uniqueness for convex energies and convergence proved for the linear Fokker-Planck equation under positive initial density.
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A variational finite volume scheme for Wasserstein gradient flows
A new variational finite volume discretization for Wasserstein gradient flows that guarantees non-negativity and energy decay, with uniqueness for convex energies and convergence proved for the linear Fokker-Planck equation under positive initial density.