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...

Полное описание

Библиографические подробности
Главные авторы: Carrillo, JA, Ranetbauer, H, Wolfram, M-T
Формат: Journal article
Язык:English
Опубликовано: Elsevier 2016