| Abstract: |
| We study the numerical approximation of time-dependent Hamilton-Jacobi equations on networks.
In particular, we introduce a semi-Lagrangian scheme and prove a convergence error estimate of order 1/2.
The analysis relies on showing the equivalence between two notions of solutions proposed by Imbert and Monneau (2017) and Siconolfi (2022).
Numerical simulations illustrating the performance of the scheme are also presented. |
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