CRM: Centro De Giorgi
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Optimal Transportation and Applications

The fully discrete JKO scheme for nonlinear diffusion and crowd motion models

speaker: Anastasiia Hraivoronska (Université Claude Bernard Lyon 1)

abstract: This talk presents a formulation of the JKO scheme restricted to atomic measures on the regular grid as a discrete-in-space approximation to the standard JKO scheme. We discuss the application of this fully discrete formulation for developing new numerical schemes for nonlinear diffusion equations with drift and the crowd motion model. The main result of this presentation is the convergence of the scheme to the corresponding PDEs as the time and space discretization vanishes.


timetable:
Tue 3 Dec, 15:20 - 15:50, Aula Dini
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