@Article{JCM-19-231,
author = {Tang , Hua-Zhong and Wu , Hua-Mu},
title = {The Relaxing Schemes for Hamilton-Jacobi Equations},
journal = {Journal of Computational Mathematics},
year = {2001},
volume = {19},
number = {3},
pages = {231--240},
abstract = {<p style="text-align: justify;">Hamilton-Jacobi equation appears frequently in applications, e.g., in differential games and control theory, and is closely related to hyperbolic conservation laws[3, 4, 12]. This is helpful in the design of difference approximations for Hamilton-Jacobi equation and hyperbolic conservation laws. In this paper we present the relaxing system for Hamilton-Jacobi equations in arbitrary space dimensions, and high resolution relaxing schemes for Hamilton-Jacobi equation, based on using the local relaxation approximation. The schemes are numerically tested on a variety of 1D and 2D problems, including a problem related to optimal control problem. High-order accuracy in smooth regions, good resolution of discontinuities, and convergence to viscosity solutions are observed.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8976.html}
}