Carlos Parés Madroñal

Tomás Morales de Luna, Manuel Jose Castro Díaz, Carlos Parés: Reliability of first order numerical schemes for solving shallow water system over abrupt topography. Applied Mathematics and Computation 219(17): 9012-9032 (2013)

Lucas O. Müller, Carlos Parés, Eleuterio F. Toro: Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties. J. Comput. Physics 242: 53-85 (2013)

Manuel J. Castro, Carlos Parés, Gabriella Puppo, Giovanni Russo: Central Schemes for Nonconservative Hyperbolic Systems. SIAM J. Scientific Computing 34(5) (2012)

Rémi Abgrall, Denise Aregba, Christophe Berthon, Manuel J. Castro, Carlos Parés: Preface. J. Sci. Comput. 48(1-3): 1-2 (2011)

Manuel Jose Castro Díaz, E. D. Fernández-Nieto, José M. González-Vida, Carlos Parés Madroñal: Numerical Treatment of the Loss of Hyperbolicity of the Two-Layer Shallow-Water System. J. Sci. Comput. 48(1-3): 16-40 (2011)

E. D. Fernández-Nieto, Manuel Jose Castro Díaz, Carlos Parés: On an Intermediate Field Capturing Riemann Solver Based on a Parabolic Viscosity Matrix for the Two-Layer Shallow Water System. J. Sci. Comput. 48(1-3): 117-140 (2011)

Tomás Morales de Luna, Manuel Jose Castro Díaz, Carlos Parés Madroñal: A Duality Method for Sediment Transport Based on a Modified Meyer-Peter & Müller Model. J. Sci. Comput. 48(1-3): 258-273 (2011)

María Luz Muñoz-Ruiz, Carlos Parés Madroñal: On the Convergence and Well-Balanced Property of Path-Conservative Numerical Schemes for Systems of Balance Laws. J. Sci. Comput. 48(1-3): 274-295 (2011)

Manuel J. Castro, Alberto Pardo, Carlos Parés, Eleuterio F. Toro: On some fast well-balanced first order solvers for nonconservative systems. Math. Comput. 79(271): 1427-1472 (2010)

Manuel Jose Castro Díaz, E. D. Fernández-Nieto, A. M. Ferreiro, José A. García-Rodríguez, Carlos Parés: High Order Extensions of Roe Schemes for Two-Dimensional Nonconservative Hyperbolic Systems. J. Sci. Comput. 39(1): 67-114 (2009)

Manuel J. Castro, José M. Gallardo, Juan A. López-García, Carlos Parés: Well-Balanced High Order Extensions of Godunov's Method for Semilinear Balance Laws. SIAM J. Numerical Analysis 46(2): 1012-1039 (2008)

Manuel J. Castro, Juan Antonio López, Carlos Parés: Finite Volume Simulation of the Geostrophic Adjustment in a Rotating Shallow-Water System. SIAM J. Scientific Computing 31(1): 444-477 (2008)

Manuel Jose Castro Díaz, José A. García-Rodríguez, José M. González-Vida, Jorge Macías Sánchez, Carlos Parés: Improved FVM for two-layer shallow-water models: Application to the Strait of Gibraltar. Advances in Engineering Software 38(6): 386-398 (2007)

Manuel Jose Castro Díaz, T. Chacón Rebollo, E. D. Fernández-Nieto, Carlos Parés: On Well-Balanced Finite Volume Methods for Nonconservative Nonhomogeneous Hyperbolic Systems. SIAM J. Scientific Computing 29(3): 1093-1126 (2007)

Manuel J. Castro, José M. Gallardo, Carlos Parés: High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems. Math. Comput. 75(255): 1103-1134 (2006)

Carlos Parés: Numerical methods for nonconservative hyperbolic systems: a theoretical framework. SIAM J. Numerical Analysis 44(1): 300-321 (2006)

Manuel J. Castro, A. M. Ferreiro, José A. García-Rodríguez, José M. González-Vida, J. Macías, Carlos Parés, M. Elena Vázquez-Cendón: The numerical treatment of wet/dry fronts in shallow flows: application to one-layer and two-layer systems. Mathematical and Computer Modelling 42(3-4): 419-439 (2005)

Manuel Jose Castro Díaz, Jorge Macías Sánchez, Carlos Parés Madroñal: An incomplete LU-based family of preconditioners for numerical resolution of a shallow water system using a duality method--applications. Appl. Math. Lett. 14(5): 651-656 (2001)