Article Contents
Article Contents

# On numerical approximation of the Hamilton-Jacobi-transport system arising in high frequency approximations

• In the present article, we study the numerical approximation of a system of Hamilton-Jacobi and transport equations arising in geometrical optics. We consider a semi-Lagrangian scheme. We prove the well posedness of the discrete problem and the convergence of the approximated solution toward the viscosity-measure valued solution of the exact problem.
Mathematics Subject Classification: Primary: 65M12; Secondary: 35F25, 35R05, 49L25.

 Citation:

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