Convergence of a Numerical Scheme for the Hamilton-Jacobi Equation: a New Approach with the Adjoint Method

Details Convergence of a Numerical Scheme for the Hamilton-Jacobi Equation: a New Approach with the Adjoint Method Convergence of a Numerical Scheme for the Hamilton-Jacobi Equation: a New Approach with the Adjoint Method

2011-06-02

arxiv.org/abs/1106.0444v1

Mathematics

Analysis of PDEs

Scientific paper

We consider a numerical scheme for the one dimensional time dependent
Hamilton-Jacobi equation in the periodic setting. We present a new and simple
proof of the rate of convergence of the approximations based on the adjoint
method recently introduced by Evans.

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