@Article{JCM-15-72, author = {}, title = {MUSCL Type Schemes and Discrete Entropy Conditions}, journal = {Journal of Computational Mathematics}, year = {1997}, volume = {15}, number = {1}, pages = {72--80}, abstract = {

In this paper, the semi-discrete entropy conditions with so called the proper discrete entropy flux of a class of high resolution MUSCL type schemes are discussed for genuinely nonlinear scalar conservation laws. It is shown that the high resolution schemes satisfying such semi-discrete entropy conditions cannot preserve second order accuracy in the rarefaction region.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9190.html} }