In this paper, fully discrete entropy conditions of a class of high resolution schemes with the MmB property are discussed by using the theory of proper discrete entropy flux for the linear scalar ...

Conservation laws serve as a cornerstone in modelling the evolution of physical quantities such as mass, momentum and energy. Recent advances have placed a particular emphasis on systems where the ...

Journal of Computational Mathematics, Vol. 35, No. 2 (March 2017), pp. 121-151 (31 pages) The Entropy-Ultra-Bee scheme was developed for the linear advection equation and extended to the Euler system ...