One-dimensional numerical algorithms for gradient flows in the \(p\)-Wasserstein spaces

DOI10.1007/s10440-012-9783-2zbMath1268.65087OpenAlexW2054788473MaRDI QIDQ1956230

Malcolm Bowles, Martial Agueh

Publication date: 13 June 2013

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-012-9783-2

zbMATH Keywords

variational principlesnumerical examplesgradient flownumerical approximationparabolic partial differential equationoptimal transport problem\(L^p\)-Wasserstein metric

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (5)

Convergent Lagrangian Discretization for Drift-Diffusion with Nonlocal Aggregation ⋮ Entropic Approximation of Wasserstein Gradient Flows ⋮ A Fully Discrete Variational Scheme for Solving Nonlinear Fokker--Planck Equations in Multiple Space Dimensions ⋮ Convergence of Entropic Schemes for Optimal Transport and Gradient Flows ⋮ Discretization of functionals involving the Monge-Ampère operator

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