Numerical simulation of nonlinear continuity equations by evolving diffeomorphisms

In this paper we present a numerical scheme for nonlinear continuity equations, which is based on the gradient flow formulation of an energy functional with respect to the quadratic transportation distance. It can be applied to a large class of nonlinear continuity equations, whose dynamics are driv...

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Bibliographic Details
Main Authors: Carrillo, JA, Ranetbauer, H, Wolfram, M-T
Format: Journal article
Language:English
Published: Elsevier 2016