3 papers
math.NA2026
A semi-Lagrangian scheme for First-Order Mean Field Games based on monotone operators
Elisabetta Carlini, Valentina Coscetti
We construct a semi-Lagrangian scheme for first-order, time-dependent, and non-local Mean Field Games. The convergence of the scheme to a weak solution of the system is analyzed by…
math.NA2025
Numerical Approximation of the Critical Value of Eikonal Hamilton-Jacobi Equations on Networks
Valentina Coscetti, Marco Pozza
The critical value of an eikonal equation is the unique value of a parameter for which the equation admits solutions and is deeply related to the effective Hamiltonian of a corresp…
math.NA2024
Error Estimate for a Semi-Lagrangian Scheme for Hamilton-Jacobi Equations on Networks
Elisabetta Carlini, Valentina Coscetti, Marco Pozza
We examine the numerical approximation of time-dependent Hamilton-Jacobi equations on networks, providing a convergence error estimate for the semi-Lagrangian scheme introduced in…