TY - JOUR
T1 - The Entropy Condition for Implicit TVD Schemes
AU - Wu , Yu-Hua
AU - Wu , Hua-Mo
JO - Journal of Computational Mathematics
VL - 2
SP - 155
EP - 166
PY - 1992
DA - 1992/10
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9348.html
KW - 
AB - <p style="text-align: justify;">A class of implicit trapezoidal TVD schemes is proven to satisfy a discrete convex entropy inequality and the solution sequence of such implicit trapezoidal schemes converges to the physically relevant solution for genuinely nonlinear scalar conservation laws. The results are extended for a class of generalized implicit one-leg TVD schemes.</p>