Home Carlos Parés

Carlos Parés



Address:
Departamento de Análisis Matemático
Facultad de Ciencias
Universidad de Málaga
Campus de Teatinos, s/n
29071 - Málaga
Spain

E-mail: Click here to show
Telephone: + (34) 952 132 017
Fax: + (34) 952 131 894


Personal Information:

Position: Full Professor
Description:


Publications

  • T. Morales de Luna, M. J. Castro Díaz and C. Parés. "Relation between PVM schemes and simple Riemann solvers", Numerical Methods for Partial Differential Equations, Vol. 30(4), Mar, 2014, pp. 1315-1341. [More] 
  • M. J. Castro Díaz, J. A. López-García and C. Parés. "High order exactly well-balanced numerical methods for shallow water systems", Journal of Computational Physics, Vol. 246. 2013, pp. 242 - 264. [More] 
  • T. Morales de Luna, M. J. Castro Díaz and C. Parés. "Reliability of first order numerical schemes for solving shallow water system over abrupt topography", Applied Mathematics and Computation, Vol. 219. 2013, pp. 9012-9032. [More] 
  • M. J. Castro Díaz et al.. "IFCP Riemann solver: Application to tsunami modelling using GPUs". E. Vázquez, A. Hidalgo, P. García and L. Cea eds. CRC Press. 2012. pp. 237-244. [More] 
  • M. J. Castro Díaz, E. D. Fernández-Nieto, T. Morales de Luna, G. Narbona-Reina and C. Parés. "A HLLC scheme for nonconservative hyperbolic problems. Application to turbidity currents with sediment transport", ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 47. 2012, pp. 1-32. [More] 
  • J. Macías et al.. Deslizamientos Submarinos y Tsunamis en el Mar de Alborán. Un Ejemplo de Modelización., vol. 6, Avda. del Brasil, 31. 28020 Madrid : Instituto Español de Oceanografía, 2012. [More] 
  • M. L. Muñoz Ruiz and C. Parés. "On the convergence and well-balanced property of path-conservative numerical schemes for systems of balance laws", Journal of Scientific Computing, Vol. 48. 2011, pp. 274-295. [More] 
  • E. D. Fernández-Nieto, M. J. Castro Díaz and C. Parés. "On an Intermediate Field Capturing Riemann Solver Based on a Parabolic Viscosity Matrix for the Two-Layer Shallow Water System", Journal of Scientific Computing, Vol. 48. 2011, pp. 117-140. [More] 
  • M. J. Castro Díaz, E. D. Fernández-Nieto, J. M. González-Vida and C. Parés. "Numerical Treatment of the Loss of Hyperbolicity of the Two-Layer Shallow-Water System", Journal of Scientific Computing, Vol. 48. 2011, pp. 16-40. [More] 
  • T. Morales de Luna, M. J. Castro Díaz and C. Parés. "A Duality Method for Sediment Transport Based on a Modified Meyer-Peter & Müller Model", Journal of Scientific Computing, Vol. 48. 2011, pp. 258-273. [More] 
  • M. J. Castro Díaz, A. Pardo, C. Parés and E. Toro. "On some fast well-balanced first order solvers for nonconservative systems.", MATHEMATICS OF COMPUTATION, Vol. 79. 2010, pp. 1427–1472. [More] 
  • M. Dumbser, A. Hidalgo, M. J. Castro Díaz, C. Parés and E. F. Toro. "FORCE schemes on unstructured meshes II: Nonconservative hyperbolic systems", Comput. Methods Appl. Mech. Engrg., Vol. 199. 2010, pp. 625–647. [More] 
  • M. J. Castro Díaz, J. M. González-Vida, J. Macías and C. Parés. "Realistic application of a tidal 2D two-layer shallow water model to the Strait of Gibraltar". 2009. pp. 1429-1432. [More] 
  • M. J. Castro Díaz, E. D. Fernández-Nieto, A. M. Ferreiro, J. A. García-Rodríguez and C. Parés. "High order extensions of Roe schemes for two-dimensional nonconservative hyperbolic systems", J. Sci. Comput., Vol. 39. 2009, pp. 67–114. [More] 
  • T. Morales de Luna, M. J. Castro Díaz, C. Parés and E. D. Nieto. "On a shallow water model for the simulation of turbidity currents", Communications in Computational Physics. 2009. [More] 
  • M. J. Castro Díaz, A. Pardo, C. Parés and E. F. Toro. "On some fast well-balanced first order solvers for nonconservative systems", Math. Comp., Vol. 79. 2009, pp. 1427–1472. [More] 
  • M. Dumbser, M. J. Castro Díaz, C. Parés and E. F. Toro. "ADER schemes on unstructured meshes for nonconservative hyperbolic systems: Applications to geophysical flows", Computers & Fluids, Vol. 38. 2009, pp. 1731–1748. [More] 
  • C. Parés and M. L. Muñoz Ruiz. "On some difficulties of the numerical approximation of nonconservative hyperbolic systems", Bol. Soc. Esp. Mat. Apl. 2009. [More] 
  • J. M. Gallardo, M. J. Castro Díaz and C. Parés. "High-order finite volume schemes for shallow water equations with topography and dry areas". Hyperbolic problems: Theory, numerics and applications. E. Tadmor, J.-G. Liu and A. Tzavaras eds. 2008. pp. 585-594. [More] 
  • M. J. Castro Díaz, J. M. González-Vida, J. Macías and C. Parés. "Simulation of tidal currents in the Strait of Gibraltar". M. E. Amrani, M. Sead and N. Yebari eds. Universidad Rey Juan Carlos. 2008. [More] 
  • M. J. Castro Díaz, T. C. Rebollo, E. D. Fernández-Nieto, J. M. González-Vida and C. Parés. "Well-balanced finite volume schemes for 2d non-homogeneous hyperboli systems. Application to the dam break of Aznalcóllar", Comput. Methods Appl. Mech. Engrg., Vol. 197. 2008, pp. 3932–3950. [More] 
  • M. J. Castro Díaz, P. G. LeFloch, M. L. Muñoz Ruiz and C. Parés. "Why many theories of shock waves are necessary: convergence error in formally path-consistent schemes", J. Comput. Phys., Vol. 227. 2008, pp. 8107–8129. [More] 
  • M. J. Castro Díaz, J. A. García-Rodríguez, J. M. González-Vida and C. Parés. "Solving shallow-water systems in 2D domains using finite volume methods and multimedia SSE instructions", J. Comput. Appl. Math., Vol. 221. 2008, pp. 16–32. [More] 
  • M. J. Castro Díaz, J. A. López and C. Parés. "Finite volume simulation of the geostrophic adjustment in a rotating shallow-water system", SIAM J. Sci. Comput., Vol. 31. 2008, pp. 444–477. [More] 
  • I. Arregui, J. J. Cendán, C. Parés and C. Vázquez. "Numerical solution of a 1-D elastohydrodynamic problem in magnetic storage devices", M2AN Math. Model. Numer. Anal., Vol. 42. 2008, pp. 645–665. [More] 
  • M. J. Castro Díaz, J. M. Gallardo, J. A. López-García and C. Parés. "Well-balanced high order extensions of Godunov's method for semilinear balance laws", SIAM J. Numer. Anal., Vol. 46. 2008, pp. 1012–1039. [More] 
  • M. J. Castro Díaz, J. A. García-Rodríguez, J. M. González-Vida, J. Macías and C. Parés. "Simulation of tidal currents in the Strait of Gibraltar using two-dimensional two-layer shallow-water models", Bol. Soc. Esp. Mat. Apl.. 2008. [More] 
  • M. J. Castro Díaz, T. Chacón, E. D. Fernández-Nieto and C. Parés. "On well-balanced finite volume methods for nonconservative nonhomogeneous hyperbolic systems", SIAM J. Sci. Comput., Vol. 29. 2007, pp. 1093–1126. [More] 
  • M. L. Muñoz Ruiz and C. Parés. "Godunov method for nonconservative hyperbolic systems", M2AN Math. Model. Numer. Anal., Vol. 41. 2007, pp. 169–185. [More] 
  • J. M. Gallardo, C. Parés and M. J. Castro Díaz. "On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas", J. Comput. Phys., Vol. 227. 2007, pp. 574–601. [More] 
  • M. J. Castro Díaz, A. Pardo and C. Parés. "Well-balanced numerical schemes based on a generalized hydrostatic reconstruction technique", Math. Models Methods Appl. Sci., Vol. 17. 2007, pp. 2055–2113. [More] 
  • M. J. Castro Díaz, J. A. García-Rodríguez, J. M. González-Vida, J. Macías and C. Parés. "Improved FVM for two-layer shallow-water models: Application to the Strait of Gibraltar", Advances in Engineering Software. 2007. [More] 
  • J. M. Gallardo, M. J. Castro Díaz, C. Parés and J. M. González-Vida. "On a well-balanced high-order finite volume scheme for the shallow water equations with bottom topography and dry areas". Hyperbolic problems: Theory, numerics and applications. S. Benzoni-Gavage and D. Serre eds. 2006. pp. 259-270. [More] 
  • M. J. Castro Díaz, J. M. Gallardo and C. Parés. "High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems", Math. Comp., Vol. 75. 2006, pp. 1103–1134. [More] 
  • M. J. Castro Díaz, J. M. González-Vida and C. Parés. "Numerical treatment of wet/dry fronts in shallow flows with a modified {R}oe scheme", Math. Models Methods Appl. Sci., Vol. 16. 2006, pp. 897–931. [More] 
  • M. J. Castro Díaz, J. A. García-Rodríguez, J. M. González-Vida and C. Parés. "A parallel 2d finite volume scheme for solving systems of balance laws with nonconservative products: application to shallow flows", Comput. Methods Appl. Mech. Engrg., Vol. 195. 2006, pp. 2788–2815. [More] 
  • C. Parés. "Numerical methods for nonconservative hyperbolic systems: a theoretical framework", SIAM J. Numer. Anal., Vol. 44. 2006, pp. 300–321. [More] 
  • C. Parés, M. J. Castro Díaz and J. M. Gallardo. "Métodos numéricos para sistemas hiperbólicos no conservativos. Aplicación a un modelo bicapa de aguas someras". Modelización matemática de la sedimentación en la costa. J. Castelló and V. Martínez eds. 2005. pp. 117-140. [More] 
  • M. J. Castro Díaz et al. "The numerical treatment of wet/dry fronts in shallow flows: application to one-layer and two-layer systems", Math. Comput. Modelling, Vol. 42. 2005, pp. 419–439. [More] 
  • J. M. Gallardo, M. J. Castro Díaz and C. Parés. "A generalized duality method for solving variational inequalities. Applications to some nonlinear Dirichlet problems", Numer. Math., Vol. 100. 2005, pp. 259–291. [More] 
  • C. Parés, J. Macías and M. J. Castro Díaz. "Mathematical models for the simulation of environmental flows: from the Strait of Gibraltar to the Aznalcollar disaster", ERCIM News. 2005. [More] 
  • J. Macías, C. Parés and M. J. Castro Díaz. "Numerical simulation in Oceanography. Application to the Alboran Sea and the Strait of Gibraltar". 2004. [More] 
  • M. J. Castro Díaz, J. A. Garcia-Rodriguez, J. Macías, C. Parés and E. Vázquez-Cendón. "A two-layer finite volume model for flows through channels with irregular geometry: Computation of maximal exchange solutions Application to the Strait of Gibraltar", Communications in Nonlinear Science and Numerical Simulation, Vol. 9. 2004, pp. 241–249. [More] 
  • C. Parés and M. J. Castro Díaz. "On the well-balance property of {R}oe's method for nonconservative hyperbolic systems. {A}pplications to shallow-water systems", M2AN Math. Model. Numer. Anal.. 2004. [More] 
  • M. J. Castro Díaz, J. Macías, C. Parés, J. A. García-Rodríguez and E. Vázquez-Cendón. "A two-layer finite volume model for flows through channels with irregular geometry: computation of maximal exchange solutions. Application to the Strait of Gibraltar", Commun. Nonlinear Sci. Numer. Simul.. 2004. [More] 
  • M. J. Castro Díaz, J. A. García-Rodríguez, J. M. González-Vida, J. Macías, C. Parés and M. E. Vázquez-Cendón. "Numerical simulation of two-layer shallow water flows through channels with irregular geometry", J. Comput. Phys.. 2004. [More] 
  • C. Parés and M. J. Castro Díaz. "On the well-balance property of Roe's method for nonconservative hyperbolic systems. Applications to shallow-water systems", Mathematical Modelling and Numerical Analysis. 2004. [More] 
  • M. L. Muñoz Ruiz, M. J. Castro Díaz and C. Parés. "On an one-dimensional bi-layer shallow-water problem", Nonlinear Anal.. 2003. [More] 
  • C. Parés, M. J. Castro Díaz and J. Macías. "On the convergence of the Bermúdez-Moreno algorithm with constant parameters", Numer. Math.. 2002. [More] 
  • J. M. González-Vida and C. Parés. "A {L}agrangian finite element algorithm for the numerical solution of one-dimensional shallow water equations", Rev. Internac. Métod. Numér. Cálc. Diseñ. Ingr.. 2002. [More] 
  • M. J. Castro Díaz et al. "Numerical simulation of internal tides in the Strait of Gibraltar", RACSAM Rev. R. Acad. Cienc. Exactas F\'\i s. Nat. Ser. A Mat.. 2002. [More] 
  • C. Parés, J. Macías and M. J. Castro Díaz. "Duality methods with an automatic choice of parameters. {A}pplication to shallow water equations in conservative form", Numer. Math.. 2001. [More] 
  • M. J. Castro Díaz, J. Macías and C. Parés. "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", M2AN Math. Model. Numer. Anal., Vol. 35. 2001, pp. 107–127. [More] 
  • M. J. Castro Díaz, J. Macías and C. Parés. "An incomplete LU-based family of preconditioners for numerical resolution of a shallow water system using a duality method. Applications", Appl. Math. Lett.. 2001. [More] 
  • J. Macías, C. Parés and M. J. Castro Díaz. "Improvement and generalization of a finite element shallow-water solver to multi-layer systems", Internat. J. Numer. Methods Fluids. 1999. [More] 
  • A. Valle, C. Parés, J. Macías and M. J. Castro Díaz. "Numerical resolution of a shallow-water system using a duality method. Application to the Alboran Sea". 1998. [More] 
  • M. J. Castro Díaz, J. Macías and C. Parés. "A multilayer shallow water model. Application to the modelling of the Alboran Sea and the Strait of Gibraltar". 1996. [More] 
  • C. Conca, C. Parés, O. Pironneau and M. Thiriet. "Navier-{S}tokes equations with imposed pressure and velocity fluxes", Internat. J. Numer. Methods Fluids. 1995. [More] 
  • C. Parés. "Approximation de la solution des équations d'un modèle de turbulence par une méthode de {L}agrange-{G}alerkin", Rev. Mat. Apl.. 1994. [More] 
  • J. Macías, M. J. Castro Díaz and C. Parés. "Numerical modelling of water mass exchanges through the Strait of Gibraltar", Revista GAIA. 1994. [More] 

Projects

Theses

 
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