An entropy-regularized, Sinkhorn-based optimal transport discretization of the semigeostrophic shallow water equations is proposed, with a debiasing correction and numerical evidence of convergence.
Entropic optimal transport solutions of the semigeostrophic equations
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Entropic approximations of the semigeostrophic shallow water equations
An entropy-regularized, Sinkhorn-based optimal transport discretization of the semigeostrophic shallow water equations is proposed, with a debiasing correction and numerical evidence of convergence.