@Article{JCM-18-313, 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 = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9045.html} }