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- Elisabetta Carlini, Roberto Ferretti, Giovanni Russo
- SIAM J. Scientific Computing
- 2005

We investigate the application of weighted essentially nonoscillatory (WENO) reconstructions to a class of semi-Lagrangian schemes for first order time-dependent Hamilton–Jacobi equations. In… (More)

- Elisabetta Carlini, Maurizio Falcone, Nicolas Forcadel, Régis Monneau
- SIAM J. Numerical Analysis
- 2008

We present a new Fast Marching algorithm for an eikonal equation with a velocity changing sign. This first order equation models a front propagation in the normal direction. The algorithm is an… (More)

- Elisabetta Carlini, Francisco J. Silva
- SIAM J. Numerical Analysis
- 2014

In this work we propose a fully-discrete Semi-Lagrangian scheme for a first order mean field game system. We prove that the resulting discretization admits at least one solution and, in the scalar… (More)

- Olivier Alvarez, Elisabetta Carlini, Régis Monneau, Elisabeth Rouy
- Numerische Mathematik
- 2006

We study dislocation dynamics with a level set point of view. The model we present here looks at the zero level set of the solution of a non local Hamilton Jacobi equation, as a dislocation in a… (More)

We analyse the properties of a semi-Lagrangian scheme for the approximation of the Mean Curvature Motion (MCM). This approximation is obtained by coupling a stochastic method for the approximation of… (More)

In this paper we study a fully discrete Semi-Lagrangian approximation of a second order Mean Field Game system, which can be degenerate. We prove that the resulting scheme is well posed and, if the… (More)

We prove the convergence of a first order finite difference scheme approximating a non local eikonal Hamilton-Jacobi equation. The non local character of the problem makes the scheme not monotone in… (More)

We present a new Fast Marching algorithm for a non-convex eikonal equation modeling front evolutions in the normal direction. The algorithm is an extension of the Fast Marching Method since the new… (More)

In this paper we study existence and uniqueness of rational normal curves in P n passing through p points and intersecting l codimension two linear spaces in n − 1 points each. If p + l = n + 3 and… (More)

- Elisabetta Carlini, Adriano Festa, Francisco J. Silva, Marie-Therese Wolfram
- Dynamic Games and Applications
- 2017

In this paper, we present a semi-Lagrangian scheme for a regularized version of the Hughes’ model for pedestrian flow. Hughes originally proposed a coupled nonlinear PDE system describing the… (More)