Convergence of a Numerical Scheme for the Hamilton-Jacobi Equation: a New Approach with the Adjoint Method
Analysis of PDEs
2013-07-30 v2 Numerical Analysis
Abstract
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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Cite
@article{arxiv.1106.0444,
title = {Convergence of a Numerical Scheme for the Hamilton-Jacobi Equation: a New Approach with the Adjoint Method},
author = {Filippo Cagnetti and Diogo Gomes and Hung V. Tran},
journal= {arXiv preprint arXiv:1106.0444},
year = {2013}
}
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final version