It is known that Flux Corrected Transport algorithms can produce entropy-violating solutions of hyperbolic conservation laws. Our purpose to design flux correction with maximal antidiffusive fluxes obtain entropy scalar To do this we consider a hybrid difference scheme linear combination monotone and high-order accuracy. The limiters for the are calculated from corresponding optimization proble...

The goal of this paper is to provide a theoretical framework allowing to extend some general concepts related to the numerical approximation of 1d conservation laws to the more general case of first order quasi-linear hyperbolic systems. In particular this framework is intended to be useful for the design and the analysis of well-balanced numerical schemes for solving balance laws or coupled sy...