An entropy-correction free solver for non-homogeneous shallow water equations Tomás Chacón Rebollo, Antonio Domínguez Delgado and Enrique D. Fernández Nieto ESAIM: M2AN, 37 5 (2003) 755-772 Published online: 15 November 2003 DOI: 10.1051/m2an:2003043