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arxiv: 1212.4757 · v2 · pith:QI4YTRIBnew · submitted 2012-12-19 · 🧮 math.NA · cs.NA

A fully-discrete Semi-Lagrangian scheme for a first order mean field game problem

classification 🧮 math.NA cs.NA
keywords schemefieldfirstfully-discretegamemeanorderprove
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In this work we propose a fully-discrete Semi-Lagrangian scheme for a {\it first order mean field game system}. We prove that the resulting discretization admits at least one solution and, in the scalar case, we prove a convergence result for the scheme. Numerical simulations and examples are also discussed.

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