Residual distribution schemes: Current status and future trends, Computers & Fluids, vol.35, issue.7, pp.641-669, 2006. ,
DOI : 10.1016/j.compfluid.2005.01.007
URL : https://hal.archives-ouvertes.fr/inria-00403695
Construction of second order accurate monotone and stable residual distribution schemes for unsteady flow problems, Journal of Computational Physics, vol.188, issue.1, pp.16-55, 2003. ,
DOI : 10.1016/S0021-9991(03)00084-6
Exact solution of the Riemann problem for the shallow water equations with discontinuous bottom geometry, Journal of Computational Physics, vol.227, issue.6, pp.3212-3243, 2008. ,
DOI : 10.1016/j.jcp.2007.11.033
Space-time residual distribution schemes for hyperbolic conservation laws on unstructured linear finite elements, ICFD Conference on Numerical Methods for Fluid Dynamics, Part II, pp.3-4573, 2001. ,
A Conservative Formulation of the Multidimensional Upwind Residual Distribution Schemes for General Nonlinear Conservation Laws, Journal of Computational Physics, vol.179, issue.1, pp.286-312, 2002. ,
DOI : 10.1006/jcph.2002.7057
Residual Distribution Schemes: Foundations and Analysis, Encyclopedia of computational mechanics, 2007. ,
DOI : 10.1002/0470091355.ecm054
URL : https://hal.archives-ouvertes.fr/hal-00402592
A multidimensional generalization of Roe's flux difference splitter for the euler equations, Computers & Fluids, vol.22, issue.2-3, pp.215-222, 1993. ,
DOI : 10.1016/0045-7930(93)90053-C
Status of multidimensional upwind residual distribution schemes and applications in aeronautics, Fluids 2000 Conference and Exhibit, 2000. ,
DOI : 10.2514/6.2000-2328
Second order blended multidimensional upwind residual distribution scheme for steady and unsteady computations, Journal of Computational and Applied Mathematics, vol.215, issue.2, pp.378-389, 1997. ,
DOI : 10.1016/j.cam.2006.03.046
Genuinely Multidimensional Upwinding for the 2D Shallow Water Equations, Journal of Computational Physics, vol.121, issue.1, pp.79-93, 1995. ,
DOI : 10.1006/jcph.1995.1180
A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics, Mat. Sb, issue.89, pp.47271-306, 1959. ,
Time dependent problems and difference methods, Pure and Applied Mathematics, 1995. ,
DOI : 10.1002/9781118548448
A framework for discontinuous fluctuation distribution, International Journal for Numerical Methods in Fluids, vol.43, issue.8, pp.1305-1311, 2008. ,
DOI : 10.1002/fld.1726
Conservative Multidimensional Upwinding for the Steady Two-Dimensional Shallow Water Equations, Journal of Computational Physics, vol.138, issue.2, pp.419-448, 1997. ,
DOI : 10.1006/jcph.1997.5823
Discontinuous upwind residual distribution: A route to unconditional positivity and high order accuracy, JUL 2011. 10th Institute for Computational Fluid Dynamics (ICFD) Conference, pp.263-269, 2010. ,
DOI : 10.1016/j.compfluid.2010.12.023
URL : https://hal.archives-ouvertes.fr/hal-00652403
Discontinuous fluctuation distribution, J. Comput. Phys, vol.227, issue.24, pp.10125-10147, 2008. ,
Pseudo-time stepping methods for space???time discontinuous Galerkin discretizations of the compressible Navier???Stokes equations, Journal of Computational Physics, vol.219, issue.2, pp.622-643, 2006. ,
DOI : 10.1016/j.jcp.2006.04.003
Finite volume methods for hyperbolic problems. Cambridge Texts in Applied Mathematics, 2002. ,
Explicit Residual Discretizations for Shallow Water Flows, Proceedings of ICNAAM 2011, 9th International Conference on Numerical Analysis and Applied Mathematics, Halkidiki (Greece), 2011. ,
DOI : 10.1063/1.3636885
URL : https://hal.archives-ouvertes.fr/hal-00651806
Explicit Runge???Kutta residual distribution schemes for time dependent problems: Second order case, Journal of Computational Physics, vol.229, issue.16, pp.5653-5691, 2010. ,
DOI : 10.1016/j.jcp.2010.04.002
URL : https://hal.archives-ouvertes.fr/inria-00406958
Application of conservative residual distribution schemes to the solution of the shallow water equations on unstructured meshes, Journal of Computational Physics, vol.222, issue.1, pp.287-331, 2007. ,
DOI : 10.1016/j.jcp.2006.06.024
URL : https://hal.archives-ouvertes.fr/hal-00402580
Stabilized residual distribution for shallow water simulations, Journal of Computational Physics, vol.228, issue.4, pp.1071-1115, 2009. ,
DOI : 10.1016/j.jcp.2008.10.020
URL : https://hal.archives-ouvertes.fr/inria-00538892
Residual distribution for general time-dependent conservation laws, Journal of Computational Physics, vol.209, issue.1, pp.249-289, 2005. ,
DOI : 10.1016/j.jcp.2005.03.003
URL : https://hal.archives-ouvertes.fr/hal-00402584
Approximate Riemann solvers, parameter vectors, and difference schemes, Journal of Computational Physics, vol.43, issue.2, pp.357-372, 1981. ,
DOI : 10.1016/0021-9991(81)90128-5
Fluctuations and signals, Numerical Methods for Fluid Dynamics, pp.219-257, 1982. ,
Linear advection schemes on triangular meshes, 1987. ,
Non-oscillatory relaxation methods for the shallow-water equations in one and two space dimensions, International Journal for Numerical Methods in Fluids, vol.46, issue.5, pp.457-484, 2004. ,
DOI : 10.1002/fld.766
An entropy fix for multi-dimensional upwind residual distribution schemes, Computers & Fluids, vol.34, issue.4-5, pp.617-640, 2005. ,
DOI : 10.1016/j.compfluid.2003.09.006
Water waves Wiley Classics Library The mathematical theory with applications, Reprint of the 1957 original, 1992. ,
Riemann solvers and numerical methods for fluid dynamics, 2009. ,
Matrix distribution schemes for the system of Euler equations In Euler and Navier-Stokes solvers using multi-dimensional upwind schemes and multigrid acceleration, Notes Numer. Fluid Mech, vol.57, pp.113-139, 1997. ,
Principles of computational fluid dynamics, of Springer Series in Computational Mathematics, 2001. ,
DOI : 10.1007/978-3-642-05146-3
High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms, Journal of Computational Physics, vol.214, issue.2, pp.567-598, 2006. ,
DOI : 10.1016/j.jcp.2005.10.005
The finite element method, 2000. ,