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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…