Edit Profile Parés Madroñal, Carlos Compute Distance To: Compute Author ID: pares-madronal.carlos Published as: Madroñal, Carlos Parés; Pares Madronal, C.; Pares, C.; Pares, Carlos; Parès, C.; Parés Madroñal, C.; Parés Madroñal, Carlos; Parés, C; Parés, C.; Parés, Carlos; Parés-Madroñal, C. Homepage: https://www.uma.es/edanya/info/107515/carlos-pares-madronal/ External Links: ORCID · ResearchGate · dblp Documents Indexed: 99 Publications since 1988, including 3 Books all top 5 Co-Authors 9 single-authored 48 Castro, Manuel J. 20 Castro-Díaz, Manuel Jesús 19 Macías Sánchez, Jorge 13 González-Vida, José Manuel 12 García-Rodríguez, José Antonio 10 Fernández-Nieto, Enrique Domingo 9 Morales de Luna, Tomás 9 Muñoz-Ruiz, María Luz 8 Gallardo, José M. 5 Toro, Eleuterio F. 4 Vázquez-Cendón, María Elena 3 LeFloch, Philippe Gerard 3 López-García, Juan A. 3 Mangeney, Anne 3 Ortega, Sergio 3 Vázquez Cendón, Carlos 3 Vida, José M. González 2 Aïssiouene, Nora 2 Arregui, Iñigo A. 2 Bristeau, Marie-Odile 2 Cendán, José Jesús 2 Chacón Rebollo, Tomás 2 Dumbser, Michael 2 Ferreiro-Ferreiro, Ana M. 2 Ferreiro, Ana M. 2 Godlewski, Edwige 2 Mishra, Siddhartha 2 Muñoz, M. L. 2 Pardo, Alberto 2 Pironneau, Olivier 2 Puppo, Gabriella 2 Sainte-Marie, Jacques 2 Thiriet, Marc 2 Valle, Antonio 1 Abgrall, Rémi 1 Aregba-Driollet, Denise 1 Bègue, Catherine 1 Beljadid, Abdelaziz 1 Berthon, Christophe 1 Bürger, Raimund 1 Carcía Rodriguez, José A. 1 Cardot, B. 1 Carrillo, Humberto 1 Conca, Carlos 1 Coquel, Frédéric 1 de la Asunción, Marc 1 Fjordholm, Ulrik Skre 1 Frings, Jörn Thies 1 García López, Carmen María 1 Garcia, J. Antonio 1 González, Jesús M. 1 Hecht, Frédéric 1 Hidalgo, Arturo 1 Jerez, Silvia 1 López, Juan Antonio 1 Méndez, Paul E. 1 Milanés, Alberto Pardo 1 Müller, Lucas O. 1 Narbona-Reina, Gladys 1 Nieto, Enrique D. Fernández 1 Noelle, Sebastian 1 Pimentel, Ernesto 1 Russo, Giovanni 1 Vázquez-Cendón, Elena 1 Vázquez-Cendrón, E. all top 5 Serials 8 Journal of Scientific Computing 6 Journal of Computational Physics 4 Computer Methods in Applied Mechanics and Engineering 4 SIAM Journal on Numerical Analysis 3 Computers and Fluids 3 International Journal for Numerical Methods in Fluids 3 Numerische Mathematik 3 SIAM Journal on Scientific Computing 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Mathematics of Computation 2 Numerical Methods for Partial Differential Equations 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Communications in Computational Physics 2 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA 1 Applicable Analysis 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Applied Mathematics Letters 1 Revista de Matemáticas Aplicadas 1 Mathematical and Computer Modelling 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Advances in Engineering Software 1 Communications in Nonlinear Science and Numerical Simulation 1 La Gaceta de la Real Sociedad Matemática Española 1 Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 SEMA SIMAI Springer Series 1 SMAI Journal of Computational Mathematics all top 5 Fields 75 Fluid mechanics (76-XX) 69 Numerical analysis (65-XX) 43 Partial differential equations (35-XX) 21 Geophysics (86-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 62 Publications have been cited 1,138 times in 490 Documents Cited by ▼ Year ▼ Numerical methods for nonconservative hyperbolic systems: A theoretical framework. Zbl 1130.65089Parés, Carlos 122 2006 High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems. Zbl 1096.65082Castro, Manuel; Gallardo, José M.; Parés, Carlos 101 2006 On the well-balance property of Roe’s method for nonconservative hyperbolic systems. Applications to shallow-water systems. Zbl 1130.76325Parés, Carlos; Castro, Manuel 77 2004 ADER schemes on unstructured meshes for nonconservative hyperbolic systems: applications to geophysical flows. Zbl 1177.76222Dumbser, Michael; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F. 72 2009 Why many theories of shock waves are necessary: convergence error in formally path-consistent schemes. Zbl 1176.76084Castro, Manuel J.; LeFloch, Philippe G.; Muñoz-Ruiz, María Luz; Parés, Carlos 71 2008 On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas. Zbl 1126.76036Gallardo, José M.; Parés, Carlos; Castro, Manuel 67 2007 FORCE schemes on unstructured meshes. II: Non-conservative hyperbolic systems. Zbl 1227.76043Dumbser, Michael; Hidalgo, Arturo; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F. 53 2010 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. Zbl 1094.76046Castro, Manuel; Macías, Jorge; Parés, Carlos 48 2001 The numerical treatment of wet/dry fronts in shallow flows: application to one-layer and two-layer systems. Zbl 1121.76008Castro, M. J.; Ferreiro Ferreiro, A. M.; García-Rodríguez, J. A.; González-Vida, J. M.; Macías, J.; Parés, C.; Vázquez-Cendón, M. Elena 45 2005 Well-balanced numerical schemes based on a generalized hydrostatic reconstruction technique. Zbl 1137.76038Castro, Manuel J.; Milanés, Alberto Pardo; Parés, Carlos 38 2007 Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties. Zbl 1323.92066Müller, Lucas O.; Parés, Carlos; Toro, Eleuterio F. 30 2013 On some fast well-balanced first order solvers for nonconservative systems. Zbl 1369.65107Castro, Manuel J.; Pardo, Alberto; Parés, Carlos; Toro, E. F. 28 2010 High order extensions of roe schemes for two-dimensional nonconservative hyperbolic systems. Zbl 1203.65131Castro, M. J.; Fernández-Nieto, E. D.; Ferreiro, A. M.; García-Rodríguez, J. A.; Parés, C. 28 2009 Navier-Stokes equations with imposed pressure and velocity fluxes. Zbl 0831.76011Conca, C.; Pares, C.; Pironneau, O.; Thiriet, M. 28 1995 Numerical simulation of two-layer shallow water flows through channels with irregular geometry. Zbl 1087.76077Castro, Manuel J.; García-Rodríguez, José A.; González-Vida, José M.; Macías, Jorge; Parés, Carlos; Vázquez-Cendón, M. Elena 26 2004 Well-balanced high order extensions of Godunov’s method for semilinear balance laws. Zbl 1159.74045Castro, Manuel; Gallardo, José M.; López-García, Juan A.; Parés, Carlos 25 2008 High order exactly well-balanced numerical methods for shallow water systems. Zbl 1349.76315Castro Díaz, M. J.; López-García, J. A.; Parés, Carlos 24 2013 Numerical treatment of wet/dry fronts in shallow flows with a modified Roe scheme. Zbl 1136.65330Castro, Manuel J.; González-Vida, José M.; Parés, Carlos 24 2006 Existence, uniqueness and regularity of solution of the equations of a turbulence model for incompressible fluids. Zbl 0739.35075Parés, Carlos 23 1992 Godunov method for nonconservative hyperbolic systems. Zbl 1124.65077Muñoz-Ruiz, María Luz; Parés, Carlos 22 2007 On well-balanced finite volume methods for nonconservative nonhomogeneous hyperbolic systems. Zbl 1148.65065Castro Díaz, M. J.; Chacón Rebollo, T.; Fernández-Nieto, E. D.; Parés, Carlos 15 2007 Two-dimensional sediment transport models in shallow water equations. A second order finite volume approach on unstructured meshes. Zbl 1228.76091Castro Díaz, M. J.; Fernández-Nieto, E. D.; Ferreiro, A. M.; Parés, C. 13 2009 On the convergence and well-balanced property of path-conservative numerical schemes for systems of balance laws. Zbl 1230.65102Muñoz-Ruiz, María Luz; Parés, Carlos 10 2011 Improvement and generalization of a finite element shallow-water solver to multi-layer systems. Zbl 0969.76045Macías, Jorge; Pares, Carlos; Castro, Manuel J. 10 1999 A parallel 2d finite volume scheme for solving systems of balance laws with nonconservative products: application to shallow flows. Zbl 1388.76169Castro, M. J.; García-Rodríguez, J. A.; González-Vida, J. M.; Parés, C. 9 2006 On the convergence of the Bermúdez-Moreno algorithm with constant parameters. Zbl 1003.65069Parés, Carlos; Castro, Manuel; Macías, Jorge 9 2002 Duality methods with an automatic choice of parameters. Application to shallow water equations in conservative form. Zbl 0991.65057Parés, Carlos; Macías, Jorge; Castro, Manuel 9 2001 Entropy conservative and entropy stable schemes for nonconservative hyperbolic systems. Zbl 1317.65167Castro, Manuel J.; Fjordholm, Ulrik S.; Mishra, Siddhartha; Parés, Carlos 8 2013 Finite volume simulation of the geostrophic adjustment in a rotating shallow-water system. Zbl 1183.74332Castro, Manuel J.; López, Juan Antonio; Parés, Carlos 8 2008 Reliability of first order numerical schemes for solving shallow water system over abrupt topography. Zbl 1290.76089Morales de Luna, T.; Castro Díaz, M. J.; Parés, C. 7 2013 Numerical treatment of the loss of hyperbolicity of the two-layer shallow-water system. Zbl 1416.76140Castro-Díaz, M. J.; Fernández-Nieto, E. D.; González-Vida, J. M.; Parés-Madroñal, C. 7 2011 Well-balanced schemes and path-conservative numerical methods. Zbl 1368.65131Castro, M. J.; Morales de Luna, T.; Parés, C. 6 2017 A HLLC scheme for nonconservative hyperbolic problems. Application to turbidity currents with sediment transport. Zbl 1268.76037Castro Díaz, Manuel Jesús; Fernández Nieto, Enrique Domingo; Morales de Luna, Tomás; Narbona-Reina, Gladys; Parés, Carlos 6 2013 Well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. Application to the dam break of Aznalcóllar. Zbl 1194.76150Castro Díaz, M. J.; Chacón Rebollo, T.; Fernández-Nieto, E. D.; González Vida, J. M.; Parés, C. 6 2008 On a shallow water model for the simulation of turbidity currents. Zbl 1364.76037Morales de Luna, T.; Castro Díaz, M. J.; Pares Madronal, C.; Fernández Nieto, E. D. 5 2009 A two-layer finite volume model for flows through channels with irregular geometry: computation of maximal exchange solutions. Application to the Strait of Gibraltar. Zbl 1136.76394Castro, Manuel J.; Macías, Jorge; Parés, Carlos; García-Rodríguez, Jose A.; Vázquez-Cendón, Elena 5 2004 Schemes with well-controlled dissipation. hyperbolic systems in nonconservative form. Zbl 1373.76155Beljadid, Abdelaziz; Lefloch, Philippe G.; Mishra, Siddhartha; Parés, Carlos 4 2017 Application of a combined finite element – finite volume method to a 2D non-hydrostatic shallow water problem. Zbl 1366.76046Aïssiouene, Nora; Bristeau, Marie-Odile; Godlewski, Edwige; Mangeney, Anne; Parés, Carlos; Sainte-Marie, Jacques 4 2017 Central schemes for nonconservative hyperbolic systems. Zbl 1255.76080Castro, M. J.; Parés, Carlos; Puppo, Gabriella; Russo, Giovanni 4 2012 Solving shallow-water systems in 2D domains using finite volume methods and multimedia SSE instructions. Zbl 1211.76074Castro, M. J.; García-Rodríguez, J. A.; González-Vida, J. M.; Parés, C. 4 2008 Well-balanced methods for the shallow water equations in spherical coordinates. Zbl 1390.76408Castro, Manuel J.; Ortega, Sergio; Parés, Carlos 3 2017 On some difficulties of the numerical approximation of nonconservative hyperbolic systems. Zbl 1242.65169Parés, Carlos; Muñoz-Ruiz, María Luz 3 2009 Improved FVM for two-layer shallow-water models: application to the strait of Gibraltar. Zbl 1137.76320Castro, Manuel J.; García-Rodríguez, José A.; González-Vida, José M.; Macías, Jorge; Parés, Carlos 3 2007 Entropy stable schemes for degenerate convection-diffusion equations. Zbl 1359.65152Jerez, Silvia; Parés, Carlos 2 2017 On the hyperbolicity of two-and three-layer shallow water equations. Zbl 1284.35304Castro, M.; Frings, J. T.; Noelle, S.; Parés, C; Puppo, G. 2 2012 A duality method for sediment transport based on a modified Meyer-Peter & Müller model. Zbl 1426.76408Morales de Luna, T.; Castro Díaz, M. J.; Parés Madroñal, C. 2 2011 Numerical solution of a 1-D elastohydrodynamic problem in magnetic storage devices. Zbl 1203.76052Arregui, Iñigo; Cendán, José Jesús; Parés, Carlos; Vázquez, Carlos 2 2008 Path-conservative numerical schemes for nonconservative hyperbolic systems. Zbl 1139.65063Parés, C. 2 2008 On a well-balanced high-order finite volume scheme for the shallow water equations with bottom topography and dry areas. Zbl 1388.76175Gallardo, J. M.; Castro, M.; Parés, C.; González-Vida, J. M. 2 2008 A generalized duality method for solving variational inequalities. Applications to some nonlinear Dirichlet problems. Zbl 1085.65052Gallardo, José M.; Parés, Carlos; Castro, Manuel 2 2005 Approximation of the solution to turbulence model equations using a Lagrange-Galerkin method. Zbl 0813.76045Parés, C. 2 1994 Un traitement faible en éléments finis de la conditon de glissement sur une paroi pour les équations de Navier-Stokes. (A weak treatment of the slip boundary condition in a finite element approximation of Stokes and Navier-Stokes equations). Zbl 0647.76029Parés, Carlos 2 1988 Compact approximate Taylor methods for systems of conservation laws. Zbl 07121242Carrillo, H.; Parés, C. 1 2019 Relation between PVM schemes and simple Riemann solvers. Zbl 1297.65102Morales de Luna, Tomás; Castro Díaz, Manuel J.; Parés, Carlos 1 2014 On an intermediate field capturing Riemann solver based on a parabolic viscosity matrix for the two-layer shallow water system. Zbl 1421.76163Fernández-Nieto, E. D.; Castro Díaz, M. J.; Parés, C. 1 2011 Special issue: Selected papers based on the presentations at the 1st workshop of numerical approximations of hyperbolic systems and source terms and applications, Castro Urdiales, Spain, September 7–11, 2009. Zbl 1221.65003Abgrall, Rémi (ed.); Aregba, Denise (ed.); Berthon, Christophe (ed.); Castro, Manuel (ed.); Parés, Carlos (ed.) 1 2011 Well-balanced high-order MUSTA schemes for non-conservative hyperbolic systems. Zbl 1188.65114Castro, M. J.; Parés, C.; Pardo, A.; Toro, E. F. 1 2008 On a general definition of the Godunov method for nonconservative hyperbolic systems. Application to linear balance laws. Zbl 1118.65352Castro, M. J.; Gallardo, J. M.; Muñoz, M. L.; Parés, C. 1 2006 On a one-dimensional bi-layer shallow-water problem. Zbl 1048.35084Muñoz-Ruiz, María Luz; Castro-Díaz, Manuel Jesús; Parés, Carlos 1 2003 A two-layer numerical model for flows through channels with irregular geometry: application to the water exchange through the Strait of Gibraltar. Zbl 1177.76280Castro, Manuel J.; García-Rodríguez, Jose A.; Macías, Jorge; Parés, Carlos; Vázquez-Cendón, M. Elena 1 2002 Existence, uniqueness and regularity of solution of the equations of a turbulence model for incompressible fluids. Zbl 0727.35109Pares, Carlos 1 1992 Simulation of turbulence with transient mean. Zbl 0711.76048Bègue, C.; Cardot, B.; Parès, C.; Pironneau, O. 1 1990 Compact approximate Taylor methods for systems of conservation laws. Zbl 07121242Carrillo, H.; Parés, C. 1 2019 Well-balanced schemes and path-conservative numerical methods. Zbl 1368.65131Castro, M. J.; Morales de Luna, T.; Parés, C. 6 2017 Schemes with well-controlled dissipation. hyperbolic systems in nonconservative form. Zbl 1373.76155Beljadid, Abdelaziz; Lefloch, Philippe G.; Mishra, Siddhartha; Parés, Carlos 4 2017 Application of a combined finite element – finite volume method to a 2D non-hydrostatic shallow water problem. Zbl 1366.76046Aïssiouene, Nora; Bristeau, Marie-Odile; Godlewski, Edwige; Mangeney, Anne; Parés, Carlos; Sainte-Marie, Jacques 4 2017 Well-balanced methods for the shallow water equations in spherical coordinates. Zbl 1390.76408Castro, Manuel J.; Ortega, Sergio; Parés, Carlos 3 2017 Entropy stable schemes for degenerate convection-diffusion equations. Zbl 1359.65152Jerez, Silvia; Parés, Carlos 2 2017 Relation between PVM schemes and simple Riemann solvers. Zbl 1297.65102Morales de Luna, Tomás; Castro Díaz, Manuel J.; Parés, Carlos 1 2014 Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties. Zbl 1323.92066Müller, Lucas O.; Parés, Carlos; Toro, Eleuterio F. 30 2013 High order exactly well-balanced numerical methods for shallow water systems. Zbl 1349.76315Castro Díaz, M. J.; López-García, J. A.; Parés, Carlos 24 2013 Entropy conservative and entropy stable schemes for nonconservative hyperbolic systems. Zbl 1317.65167Castro, Manuel J.; Fjordholm, Ulrik S.; Mishra, Siddhartha; Parés, Carlos 8 2013 Reliability of first order numerical schemes for solving shallow water system over abrupt topography. Zbl 1290.76089Morales de Luna, T.; Castro Díaz, M. J.; Parés, C. 7 2013 A HLLC scheme for nonconservative hyperbolic problems. Application to turbidity currents with sediment transport. Zbl 1268.76037Castro Díaz, Manuel Jesús; Fernández Nieto, Enrique Domingo; Morales de Luna, Tomás; Narbona-Reina, Gladys; Parés, Carlos 6 2013 Central schemes for nonconservative hyperbolic systems. Zbl 1255.76080Castro, M. J.; Parés, Carlos; Puppo, Gabriella; Russo, Giovanni 4 2012 On the hyperbolicity of two-and three-layer shallow water equations. Zbl 1284.35304Castro, M.; Frings, J. T.; Noelle, S.; Parés, C; Puppo, G. 2 2012 On the convergence and well-balanced property of path-conservative numerical schemes for systems of balance laws. Zbl 1230.65102Muñoz-Ruiz, María Luz; Parés, Carlos 10 2011 Numerical treatment of the loss of hyperbolicity of the two-layer shallow-water system. Zbl 1416.76140Castro-Díaz, M. J.; Fernández-Nieto, E. D.; González-Vida, J. M.; Parés-Madroñal, C. 7 2011 A duality method for sediment transport based on a modified Meyer-Peter & Müller model. Zbl 1426.76408Morales de Luna, T.; Castro Díaz, M. J.; Parés Madroñal, C. 2 2011 On an intermediate field capturing Riemann solver based on a parabolic viscosity matrix for the two-layer shallow water system. Zbl 1421.76163Fernández-Nieto, E. D.; Castro Díaz, M. J.; Parés, C. 1 2011 Special issue: Selected papers based on the presentations at the 1st workshop of numerical approximations of hyperbolic systems and source terms and applications, Castro Urdiales, Spain, September 7–11, 2009. Zbl 1221.65003Abgrall, Rémi (ed.); Aregba, Denise (ed.); Berthon, Christophe (ed.); Castro, Manuel (ed.); Parés, Carlos (ed.) 1 2011 FORCE schemes on unstructured meshes. II: Non-conservative hyperbolic systems. Zbl 1227.76043Dumbser, Michael; Hidalgo, Arturo; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F. 53 2010 On some fast well-balanced first order solvers for nonconservative systems. Zbl 1369.65107Castro, Manuel J.; Pardo, Alberto; Parés, Carlos; Toro, E. F. 28 2010 ADER schemes on unstructured meshes for nonconservative hyperbolic systems: applications to geophysical flows. Zbl 1177.76222Dumbser, Michael; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F. 72 2009 High order extensions of roe schemes for two-dimensional nonconservative hyperbolic systems. Zbl 1203.65131Castro, M. J.; Fernández-Nieto, E. D.; Ferreiro, A. M.; García-Rodríguez, J. A.; Parés, C. 28 2009 Two-dimensional sediment transport models in shallow water equations. A second order finite volume approach on unstructured meshes. Zbl 1228.76091Castro Díaz, M. J.; Fernández-Nieto, E. D.; Ferreiro, A. M.; Parés, C. 13 2009 On a shallow water model for the simulation of turbidity currents. Zbl 1364.76037Morales de Luna, T.; Castro Díaz, M. J.; Pares Madronal, C.; Fernández Nieto, E. D. 5 2009 On some difficulties of the numerical approximation of nonconservative hyperbolic systems. Zbl 1242.65169Parés, Carlos; Muñoz-Ruiz, María Luz 3 2009 Why many theories of shock waves are necessary: convergence error in formally path-consistent schemes. Zbl 1176.76084Castro, Manuel J.; LeFloch, Philippe G.; Muñoz-Ruiz, María Luz; Parés, Carlos 71 2008 Well-balanced high order extensions of Godunov’s method for semilinear balance laws. Zbl 1159.74045Castro, Manuel; Gallardo, José M.; López-García, Juan A.; Parés, Carlos 25 2008 Finite volume simulation of the geostrophic adjustment in a rotating shallow-water system. Zbl 1183.74332Castro, Manuel J.; López, Juan Antonio; Parés, Carlos 8 2008 Well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. Application to the dam break of Aznalcóllar. Zbl 1194.76150Castro Díaz, M. J.; Chacón Rebollo, T.; Fernández-Nieto, E. D.; González Vida, J. M.; Parés, C. 6 2008 Solving shallow-water systems in 2D domains using finite volume methods and multimedia SSE instructions. Zbl 1211.76074Castro, M. J.; García-Rodríguez, J. A.; González-Vida, J. M.; Parés, C. 4 2008 Numerical solution of a 1-D elastohydrodynamic problem in magnetic storage devices. Zbl 1203.76052Arregui, Iñigo; Cendán, José Jesús; Parés, Carlos; Vázquez, Carlos 2 2008 Path-conservative numerical schemes for nonconservative hyperbolic systems. Zbl 1139.65063Parés, C. 2 2008 On a well-balanced high-order finite volume scheme for the shallow water equations with bottom topography and dry areas. Zbl 1388.76175Gallardo, J. M.; Castro, M.; Parés, C.; González-Vida, J. M. 2 2008 Well-balanced high-order MUSTA schemes for non-conservative hyperbolic systems. Zbl 1188.65114Castro, M. J.; Parés, C.; Pardo, A.; Toro, E. F. 1 2008 On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas. Zbl 1126.76036Gallardo, José M.; Parés, Carlos; Castro, Manuel 67 2007 Well-balanced numerical schemes based on a generalized hydrostatic reconstruction technique. Zbl 1137.76038Castro, Manuel J.; Milanés, Alberto Pardo; Parés, Carlos 38 2007 Godunov method for nonconservative hyperbolic systems. Zbl 1124.65077Muñoz-Ruiz, María Luz; Parés, Carlos 22 2007 On well-balanced finite volume methods for nonconservative nonhomogeneous hyperbolic systems. Zbl 1148.65065Castro Díaz, M. J.; Chacón Rebollo, T.; Fernández-Nieto, E. D.; Parés, Carlos 15 2007 Improved FVM for two-layer shallow-water models: application to the strait of Gibraltar. Zbl 1137.76320Castro, Manuel J.; García-Rodríguez, José A.; González-Vida, José M.; Macías, Jorge; Parés, Carlos 3 2007 Numerical methods for nonconservative hyperbolic systems: A theoretical framework. Zbl 1130.65089Parés, Carlos 122 2006 High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems. Zbl 1096.65082Castro, Manuel; Gallardo, José M.; Parés, Carlos 101 2006 Numerical treatment of wet/dry fronts in shallow flows with a modified Roe scheme. Zbl 1136.65330Castro, Manuel J.; González-Vida, José M.; Parés, Carlos 24 2006 A parallel 2d finite volume scheme for solving systems of balance laws with nonconservative products: application to shallow flows. Zbl 1388.76169Castro, M. J.; García-Rodríguez, J. A.; González-Vida, J. M.; Parés, C. 9 2006 On a general definition of the Godunov method for nonconservative hyperbolic systems. Application to linear balance laws. Zbl 1118.65352Castro, M. J.; Gallardo, J. M.; Muñoz, M. L.; Parés, C. 1 2006 The numerical treatment of wet/dry fronts in shallow flows: application to one-layer and two-layer systems. Zbl 1121.76008Castro, M. J.; Ferreiro Ferreiro, A. M.; García-Rodríguez, J. A.; González-Vida, J. M.; Macías, J.; Parés, C.; Vázquez-Cendón, M. Elena 45 2005 A generalized duality method for solving variational inequalities. Applications to some nonlinear Dirichlet problems. Zbl 1085.65052Gallardo, José M.; Parés, Carlos; Castro, Manuel 2 2005 On the well-balance property of Roe’s method for nonconservative hyperbolic systems. Applications to shallow-water systems. Zbl 1130.76325Parés, Carlos; Castro, Manuel 77 2004 Numerical simulation of two-layer shallow water flows through channels with irregular geometry. Zbl 1087.76077Castro, Manuel J.; García-Rodríguez, José A.; González-Vida, José M.; Macías, Jorge; Parés, Carlos; Vázquez-Cendón, M. Elena 26 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. Zbl 1136.76394Castro, Manuel J.; Macías, Jorge; Parés, Carlos; García-Rodríguez, Jose A.; Vázquez-Cendón, Elena 5 2004 On a one-dimensional bi-layer shallow-water problem. Zbl 1048.35084Muñoz-Ruiz, María Luz; Castro-Díaz, Manuel Jesús; Parés, Carlos 1 2003 On the convergence of the Bermúdez-Moreno algorithm with constant parameters. Zbl 1003.65069Parés, Carlos; Castro, Manuel; Macías, Jorge 9 2002 A two-layer numerical model for flows through channels with irregular geometry: application to the water exchange through the Strait of Gibraltar. Zbl 1177.76280Castro, Manuel J.; García-Rodríguez, Jose A.; Macías, Jorge; Parés, Carlos; Vázquez-Cendón, M. Elena 1 2002 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. Zbl 1094.76046Castro, Manuel; Macías, Jorge; Parés, Carlos 48 2001 Duality methods with an automatic choice of parameters. Application to shallow water equations in conservative form. Zbl 0991.65057Parés, Carlos; Macías, Jorge; Castro, Manuel 9 2001 Improvement and generalization of a finite element shallow-water solver to multi-layer systems. Zbl 0969.76045Macías, Jorge; Pares, Carlos; Castro, Manuel J. 10 1999 Navier-Stokes equations with imposed pressure and velocity fluxes. Zbl 0831.76011Conca, C.; Pares, C.; Pironneau, O.; Thiriet, M. 28 1995 Approximation of the solution to turbulence model equations using a Lagrange-Galerkin method. Zbl 0813.76045Parés, C. 2 1994 Existence, uniqueness and regularity of solution of the equations of a turbulence model for incompressible fluids. Zbl 0739.35075Parés, Carlos 23 1992 Existence, uniqueness and regularity of solution of the equations of a turbulence model for incompressible fluids. Zbl 0727.35109Pares, Carlos 1 1992 Simulation of turbulence with transient mean. Zbl 0711.76048Bègue, C.; Cardot, B.; Parès, C.; Pironneau, O. 1 1990 Un traitement faible en éléments finis de la conditon de glissement sur une paroi pour les équations de Navier-Stokes. (A weak treatment of the slip boundary condition in a finite element approximation of Stokes and Navier-Stokes equations). Zbl 0647.76029Parés, Carlos 2 1988 all cited Publications top 5 cited Publications all top 5 Cited by 708 Authors 47 Dumbser, Michael 35 Parés Madroñal, Carlos 31 Castro, Manuel J. 25 Fernández-Nieto, Enrique Domingo 18 Toro, Eleuterio F. 15 Castro-Díaz, Manuel Jesús 14 Morales de Luna, Tomás 11 Berthon, Christophe 11 Kurganov, Alexander 10 Boscheri, Walter 9 Bouchut, François 9 Mishra, Siddhartha 9 Xing, Yulong 8 Gallardo, José M. 8 Mai Duc Thanh 8 Narbona-Reina, Gladys 8 Tavelli, Maurizio 7 Audusse, Emmanuel 7 Clain, Stéphane Louis 7 Delis, Argiris I. 7 García-Rodríguez, José Antonio 7 González-Vida, José Manuel 7 Mangeney, Anne 6 Balsara, Dinshaw S. 6 Chacón Rebollo, Tomás 6 Delestre, Olivier 6 Foucher, Françoise 6 Li, Gang 6 Muñoz-Ruiz, María Luz 6 Vázquez-Cendón, María Elena 5 Chalons, Christophe 5 Duran, Arnaud 5 Garcia-Navarro, Pilar 5 Hidalgo, Arturo 5 Kazolea, M. 5 Kesserwani, Georges 5 LeFloch, Philippe Gerard 5 Montecinos, Gino I. 5 Navas-Montilla, A. 5 Pelanti, Marica 5 Ricchiuto, Mario 5 Rosatti, Giorgio 5 Seaïd, Mohammed 5 Touma, Rony 4 Amara, Mohamed 4 Begnudelli, Lorenzo 4 Beirão da Veiga, Hugo 4 Caleffi, Valerio 4 Cordier, Stéphane 4 Crispo, Francesca 4 Cuong, Dao Huy 4 de la Asunción, Marc 4 Escalante, C. 4 Gaburro, Elena 4 Karni, Smadar 4 Lagrée, Pierre-Yves 4 Liang, Qiuhua 4 Loubère, Raphaël 4 Macías Sánchez, Jorge 4 Marche, Fabien 4 Müller, Lucas O. 4 Munz, Claus-Dieter 4 Pantano, Carlos 4 Penel, Yohan 4 Sainte-Marie, Jacques 4 Shu, Chi-Wang 4 Tokareva, Svetlana A. 4 Trujillo, David M. 4 Valiani, Alessandro 4 Vigneaux, Paul 4 Vila, Jean-Paul 4 Zabsonré, Jean De Dieu 4 Zeitlin, Vladimir 3 Baeza, Antonio 3 Bokhove, Onno 3 Bresch, Didier 3 Bristeau, Marie-Odile 3 Busto, Saray 3 Chertock, Alina E. 3 Coquel, Frédéric 3 Do, Minh Hieu 3 Donat, Rosa 3 Ferreiro, Ana M. 3 Fullana, Jose-Maria 3 Gassner, Gregor J. 3 Ghigo, Arthur R. 3 Iben, Uwe 3 James, François 3 LeVeque, Randall J. 3 Lucas, Carine 3 Mantas, José Miguel 3 Martinez-Gavara, Anna 3 Mohammadian, Abdolmajid M. 3 Mulet, Pep 3 Müller, Siegfried 3 Murillo, José Alberto 3 Murillo, Jose Luis Blanco 3 Noelle, Sebastian 3 Omnes, Pascal 3 Ortega, Sergio ...and 608 more Authors all top 5 Cited in 90 Serials 107 Journal of Computational Physics 68 Computers and Fluids 33 Journal of Scientific Computing 28 Computer Methods in Applied Mechanics and Engineering 20 Applied Mathematics and Computation 14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 Applied Numerical Mathematics 10 Journal of Computational and Applied Mathematics 9 M\(^3\)AS. 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Scienze Matematiche 1 Acta Mechanica Sinica 1 Communications in Applied Mathematics and Computational Science 1 International Journal for Numerical Methods in Biomedical Engineering 1 Arabian Journal for Science and Engineering 1 Axioms 1 Advances in Nonlinear Analysis 1 East Asian Journal on Applied Mathematics 1 International Journal of Applied and Computational Mathematics all top 5 Cited in 27 Fields 425 Fluid mechanics (76-XX) 267 Numerical analysis (65-XX) 179 Partial differential equations (35-XX) 58 Geophysics (86-XX) 27 Mechanics of deformable solids (74-XX) 24 Biology and other natural sciences (92-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Ordinary differential equations (34-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) 1 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year