TY - JOUR
T1 - On the Convergence of Implicit Difference Schemes for Hyperbolic Conservation Laws
AU - Tang , Hua-Zhong
AU - Wu , Hua-Mo
JO - Journal of Computational Mathematics
VL - 2
SP - 121
EP - 128
PY - 2002
DA - 2002/04
SN - 20
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8904.html
KW - Conservation laws, weighted implicit schemes, entropy solution.
AB - <p style="text-align: justify;">This paper is to treat implicit difference approximations to hyperbolic conservation laws with non-convex flux. The convergence of the approximate solution toward the entropy solution is established for the general weighted implicit difference schemes, which include some well-known implicit and explicit difference schemes.</p>