Publications |
2006 – 2005 – 2004 – 2003 – 2002 – 2001 – 2000 – 1999
M.J. Castro, J.M. Gallardo and C. Parés (2006). High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow water systems. Math. Comp., 75: 1103-1134.
M.J. Castro, J.A. García, J.M. González and C. Parés (2006). A parallel 2d finite volume scheme for solving systems of balance laws with nonconservative products: application to shallow flows. Comp. Meth. Appl. Mech. Eng., 196, 2788-2815.
C. Parés (2006). Numerical methods for nonconservative hyperbolic systems. A theoretical framewok. SIAM J. Num. Anal. 44(1): 300-321.
M.J. Castro, J.M. González and C. Parés (2006). Numerical treatment of wet/dry fronts in shallow flows with a modified Roe scheme. Math. Mod. Meth. App. Sci. Vol. 16, No. 6, 897-931
T. Chacón, E.D. Fernández, M.J. Castro and C. Parés (2005). On well-balanced finite volume methods for non-conservative non-homogeneous hyperbolic systems. Submitted to SIAM J. Sci. Comput.
J. Macías, J.M. González, M.J. Castro and C. Parés (2005). Simulation of tidally-induced currents in the Strait of Gibraltar with a 1D finite volume model. Preprint .
J.M. Gallardo, C. Parés and M.J. Castro (2005). A generalized duality method for solving variational inequalities. Applications to some nonlinear Dirichlet problems. Num. Math. 100 (2): 259-291.
M.J. Castro, A.M. Ferreiro, J.A. García, J.M. González, J. Macías, C. Parés and M.E. Vázquez (2005). On the numerical treatment of wet/dry fronts in shallow flows: applications to one-layer and two-layer systems. Accept ed in Math. Comp. Model.
M.J. Castro, J.A. García, J.M. González, J. Macías and C. Parés (2005). Improved FVM for two-layer shallow-water models. Applications to the Strait of Gibraltar. Accepted in Adv. Eng. Software.
C. Parés, J. Macías and M.J. Castro (2005). Mathematical models for the simulation of environmental flows: from the Strait of Gibraltar to the Aznalcollar disaster. ERCIM News 61: 33-34.
C. Parés and M.J. Castro (2004). On the well-balance property of Roe's method for nonconservative hyperbolic systems. Applications to shallow-water systems. ESAIM-Math. Model. Num. 38 (5): 821-852.
M.J. Castro, J.A. García, J.M. González, J. Macías, C. Parés and M.E. V ázquez (2004). Numerical simulation of two layer shallow water flows through channels with irregular geometry. J. Comput. Phys. 195 (1): 202-235.
M.J. Castro, J. Macías, C. Parés, J.A. García and M.E. Vázquez (2004). A two-layer finite volume model for flows through channels with irregular geometry: computation of maximal exchange solutions. Application to the Strait of Gibraltar. Comm. Nonlinear Sci. Num. Simul. 9: 241-249.
< LI>M.L. Muñoz (2004). On a non-homogeneous bi-layer shallow-water problem: smoothness and uniqueness results. Nonlinear Anal. 59: 253-282.
M.L. Muñoz (2004). On a non-homogeneous bi-layer shallow-water problem: an existence theorem. Diff. Int. Eq. 17 (9-10): 1175-1200.
M.L. Muñoz, F.J. Chatelon and P. Orenga (2003). On a bi-layer shallow-water problem. Nonlinear Anal.: Real World App. 4 (1): 139-171.
M.L. Muñoz, M.J. Castro and C. Parés (2003). On a one-dimensional bi-layer shallow-water problem. Nonlinear Anal.-Theor. 53 (5): 567-600.
C. Parés, M.J. Castro and J. Macías (2002). On the convergence of the Bermúdez-Moreno algorithm with constant parameters. Numer. Math. 92 (1): 113-128.
M.J. Castro, J.M. González, J. Macías, M.L. Muñoz, C. Parés, J.A. García and M.E. Vázquez (2002). Numerical simulation of internal tides in the Strait of Gibraltar. Rev. R. Acad. Cien. Serie A Mat. 96 (3): 321-340.
C. Parés, J. Macías and M.J. Castro (2001). Duality methods with an automatic choice of parameters. Application to shallow water equations in conservative form. Numer. Math. 89: 161-189.
M.J. Castro, J. Macías and C. Parés (2001). An incomplete LU-based family of preconditioners for nu merical resolution of a shallow water system using a dualiry method. Applications. Appl. Math. Lett. 14 (5): 651-656.
M.J. Castro, J. Macías, C. Parés (2001). A Q-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system. ESAIM-Math. Model. Num. 35 (1): 107-127.
M.J. Castro and P. García (2001). The application of a conservative grid adaptation technique to 1D sha llow water equations. Math. Comput. Model. 34: 29-35.
J. Macías, C. Parés and M.J. Castro (1999). Improvement and generalization of a finite element shallow-water solver to multilayer systems. Int. J. Numer. Meth. Fluids 31 (7): 1037-1059.