@Article{JCM-15-4,
author = {Juan, Cheng and Jiazun, Dai},
title = {A New Class of Uniformly Second Order Accurate Difference Schemes for 2D Scalar Conservation Laws},
journal = {Journal of Computational Mathematics},
year = {1997},
volume = {15},
number = {4},
pages = {311--318},
abstract = {<p style="text-align: justify;">In this paper, concerned with the Cauchy problem for 2D nonlinear hyperbolic conservation laws, we construct a class of uniformly second order accurate finite difference schemes, which are based on the E-schemes. By applying the convergence theorem of Coquel-Le Floch [1], the family of approximate solutions defined by the scheme is proven to converge to the unique entropy weak $L^{\infty}$-solution. Furthermore, some numerical experiments on the Cauchy problem for the advection equation and the Riemann problem for the 2D Burgers equation are given and the relatively satisfied result is obtained.</p>},
issn = {1991-7139},
doi = {https://doi.org/1997-JCM-9208},
url = {https://global-sci.com/article/85754/a-new-class-of-uniformly-second-order-accurate-difference-schemes-for-2d-scalar-conservation-laws}
}