One-dimensional numerical algorithms for gradient flows in the \(p\)-Wasserstein spaces
type: Item
instance of: scholarly article
title: One-dimensional numerical algorithms for gradient flows in the \(p\)-Wasserstein spaces
zbMATH Open document ID: 1268.65087
author: Malcolm Bowles
author: Martial Agueh
published in: Acta Applicandae Mathematicae
publication date: 2013-06-13T00:00:00Z
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 49M25
zbMATH DE Number: 6175225
zbMATH Keywords: \(L^p\)-Wasserstein metric
zbMATH Keywords: numerical approximation
zbMATH Keywords: gradient flow
zbMATH Keywords: parabolic partial differential equation
zbMATH Keywords: numerical examples
zbMATH Keywords: variational principles
zbMATH Keywords: optimal transport problem
MaRDI profile type: Publication
full work available at URL: s10440-012-9783-2
OpenAlex ID: W2054788473
cites work: Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory
cites work: Rates of decay to equilibria for \(p\)-Laplacian type equations
cites work: Finsler structure in the \(p\)-Wasserstein space and gradient flows
cites work: Q4663947
cites work: Polar factorization and monotone rearrangement of vector‐valued functions
cites work: Q4871557
cites work: Contractions in the 2-Wasserstein length space and thermalization of granular media
cites work: Numerical Simulation of Diffusive and Aggregation Phenomena in Nonlinear Continuity Equations by Evolving Diffeomorphisms
cites work: Q4870788
cites work: The Variational Formulation of the Fokker--Planck Equation
cites work: Approximation of Parabolic Equations Using the Wasserstein Metric
cites work: THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
cites work: Variational principle for general diffusion problems
cites work: An efficient numerical algorithm for the L2 optimal transport problem with periodic densities
cites work: On the Jordan-Kinderlehrer-Otto variational scheme and constrained optimization in the Wasserstein metric
cites work: Q4805362
DOI: 10.1007/S10440-012-9783-2
description: scientific article; zbMATH DE number 6175225