  In this paper, we discuss the notion of discrete conservation for hyperbolic
conservation laws. We introduce what we call a fluctuation splitting schemes
(or residual distribution, also RDS) and show on several examples how this cal
lead to new development. In particular, we show that most, if not all known
schemes can be rephrased in flux form, and also show how to satisfy additional
conservation laws. This review paper is built on
\cite{AbgrallConservation,Abgrall2017,paola,svetlana,ABGRALL2018640}.
