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arxiv: 1105.5725 · v3 · pith:IZTTXIN5new · submitted 2011-05-28 · 🧮 math.AP · cs.NA· math.NA

An approximation scheme for an Hamilton-Jacobi equation defined on a network

classification 🧮 math.AP cs.NAmath.NA
keywords approximationschemedefinedequationhamilton-jacobinetworksolutiontype
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In this paper we study an approximation scheme for an Hamilton-Jacobi equation of Eikonal type defined on a network. We introduce an appropriate notion of viscosity solution for this class of equations (see \cite{sc}) and we prove that an approximation scheme of semi-Lagrangian type converges to the unique solution of the problem.

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