ROES MATRICES FOR GENERAL HYPERBOLIC CONS ERVATION-LAWS IN EULERIAN OR LAGRANGIAN FORM

We consider here general hyperbolic conservation laws in one space dim ension. We give a simple relation between the jacobian matrices of eul erian or lagrangian fluxes. In the same way, a systematic construction of lagrangian Roe's matrix is given in terms of the eulerian Roe's ma trix. Thus we construct an infinity of Roe's matrices and so we define different classes of Roe's matrices.