@Article{JCM-18-3,
author = {Tang, Hua-Zhong},
title = {On the Central Relaxing Schemes I: Single Conservation Laws},
journal = {Journal of Computational Mathematics},
year = {2000},
volume = {18},
number = {3},
pages = {313--324},
abstract = {<p style="text-align: justify;">In this first paper we present a central relaxing scheme for scalar conservation laws, based on using the local relaxation approximation. Our scheme is obtained without using linear or nonlinear Riemann solvers. A cell entropy inequality is studied for the semidiscrete central relaxing scheme, and a second order MUSCL scheme is shown to be TVD in the zero relaxation limit. The next paper will extend the central relaxing scheme to multi-dimensional systems of conservation laws in curvilinear coordinates, including numerical experiments for 1D and 2D problems.</p>},
issn = {1991-7139},
doi = {https://doi.org/2000-JCM-9045},
url = {https://global-sci.com/article/85556/on-the-central-relaxing-schemes-i-single-conservation-laws}
}