@Article{JCM-15-1, 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/1997-JCM-9190}, url = {https://global-sci.com/article/85729/muscl-type-schemes-and-discrete-entropy-conditions} }