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Parés Madroñal, Carlos

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Author ID: pares-madronal.carlos Recent zbMATH articles by "Parés Madroñal, Carlos"
Published as: Parés, Carlos; Parés, C.; Parés Madroñal, Carlos; Parés Madroñal, C.; Pares, Carlos; Pares, C.; Madroñal, Carlos Parés; Pares Madronal, C.; Parés-Madroñal, C.; Parès, C.; Parés, C
Homepage: https://www.uma.es/edanya/info/107515/carlos-pares-madronal/
External Links: ORCID · ResearchGate · dblp
Documents Indexed: 102 Publications since 1988, including 3 Books
all top 5

Co-Authors

9 single-authored
50 Castro, Manuel J.
20 Castro-Díaz, Manuel Jesús
19 Macías Sánchez, Jorge
12 García-Rodríguez, José Antonio
11 González-Vida, José Manuel
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
2 Aïssiouene, Nora
2 Arregui, Iñigo A.
2 Bristeau, Marie-Odile
2 Carrillo, Humberto
2 Cendán, José Jesús
2 Chacón Rebollo, Tomás
2 Dumbser, Michael
2 Ferreiro-Ferreiro, Ana María
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 Conca, Carlos
1 Coquel, Frédéric
1 de la Asunción, Marc
1 Fjordholm, Ulrik Skre
1 Frings, Jörn Thies
1 García López, Carmen María
1 Gómez-Bueno, Irene
1 Hecht, Frédéric
1 Hidalgo, Arturo
1 Jerez, Silvia
1 Koellermeier, Julian
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-García, Ernesto
1 Pimentel, Ernesto
1 Vázquez-Cendón, Elena
1 Vázquez-Cendrón, E.
1 Vida, José M. González
1 Zorío, David
all top 5

Serials

9 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 Applied Mathematics and Computation
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 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

Publications by Year

Citations contained in zbMATH Open

65 Publications have been cited 1,232 times in 533 Documents Cited by Year
Numerical methods for nonconservative hyperbolic systems: A theoretical framework. Zbl 1130.65089
Parés, Carlos
133
2006
High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems. Zbl 1096.65082
Castro, Manuel; Gallardo, José M.; Parés, Carlos
109
2006
ADER schemes on unstructured meshes for nonconservative hyperbolic systems: applications to geophysical flows. Zbl 1177.76222
Dumbser, Michael; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F.
80
2009
On the well-balance property of Roe’s method for nonconservative hyperbolic systems. Applications to shallow-water systems. Zbl 1130.76325
Parés, Carlos; Castro, Manuel
78
2004
Why many theories of shock waves are necessary: convergence error in formally path-consistent schemes. Zbl 1176.76084
Castro, Manuel J.; LeFloch, Philippe G.; Muñoz-Ruiz, María Luz; Parés, Carlos
77
2008
On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas. Zbl 1126.76036
Gallardo, José M.; Parés, Carlos; Castro, Manuel
75
2007
FORCE schemes on unstructured meshes. II: Non-conservative hyperbolic systems. Zbl 1227.76043
Dumbser, Michael; Hidalgo, Arturo; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F.
56
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 1094.76046
Castro, Manuel; Macías, Jorge; Parés, Carlos
50
2001
The numerical treatment of wet/dry fronts in shallow flows: application to one-layer and two-layer systems. Zbl 1121.76008
Castro, M. J.; Ferreiro Ferreiro, A. M.; García-Rodríguez, J. A.; González-Vida, J. M.; Macías, J.; Parés, C.; Vázquez-Cendón, M. Elena
47
2005
Well-balanced numerical schemes based on a generalized hydrostatic reconstruction technique. Zbl 1137.76038
Castro, Manuel J.; Milanés, Alberto Pardo; Parés, Carlos
40
2007
High order extensions of roe schemes for two-dimensional nonconservative hyperbolic systems. Zbl 1203.65131
Castro, M. J.; Fernández-Nieto, E. D.; Ferreiro, A. M.; García-Rodríguez, J. A.; Parés, C.
31
2009
Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties. Zbl 1323.92066
Müller, Lucas O.; Parés, Carlos; Toro, Eleuterio F.
31
2013
Well-balanced high order extensions of Godunov’s method for semilinear balance laws. Zbl 1159.74045
Castro, Manuel; Gallardo, José M.; López-García, Juan A.; Parés, Carlos
30
2008
Navier-Stokes equations with imposed pressure and velocity fluxes. Zbl 0831.76011
Conca, C.; Pares, C.; Pironneau, O.; Thiriet, M.
30
1995
On some fast well-balanced first order solvers for nonconservative systems. Zbl 1369.65107
Castro, Manuel J.; Pardo, Alberto; Parés, Carlos; Toro, E. F.
29
2010
Godunov method for nonconservative hyperbolic systems. Zbl 1124.65077
Muñoz-Ruiz, María Luz; Parés, Carlos
27
2007
Numerical simulation of two-layer shallow water flows through channels with irregular geometry. Zbl 1087.76077
Castro, Manuel J.; García-Rodríguez, José A.; González-Vida, José M.; Macías, Jorge; Parés, Carlos; Vázquez-Cendón, M. Elena
27
2004
High order exactly well-balanced numerical methods for shallow water systems. Zbl 1349.76315
Castro Díaz, M. J.; López-García, J. A.; Parés, Carlos
27
2013
Numerical treatment of wet/dry fronts in shallow flows with a modified Roe scheme. Zbl 1136.65330
Castro, Manuel J.; González-Vida, José M.; Parés, Carlos
25
2006
Existence, uniqueness and regularity of solution of the equations of a turbulence model for incompressible fluids. Zbl 0739.35075
Parés, Carlos
24
1992
On well-balanced finite volume methods for nonconservative nonhomogeneous hyperbolic systems. Zbl 1148.65065
Castro Díaz, M. J.; Chacón Rebollo, T.; Fernández-Nieto, E. D.; Parés, Carlos
16
2007
Two-dimensional sediment transport models in shallow water equations. A second order finite volume approach on unstructured meshes. Zbl 1228.76091
Castro Díaz, M. J.; Fernández-Nieto, E. D.; Ferreiro, A. M.; Parés, C.
15
2009
On the convergence and well-balanced property of path-conservative numerical schemes for systems of balance laws. Zbl 1230.65102
Muñoz-Ruiz, María Luz; Parés, Carlos
11
2011
Improvement and generalization of a finite element shallow-water solver to multi-layer systems. Zbl 0969.76045
Macías, Jorge; Pares, Carlos; Castro, Manuel J.
10
1999
On the convergence of the Bermúdez-Moreno algorithm with constant parameters. Zbl 1003.65069
Parés, Carlos; Castro, Manuel; Macías, Jorge
9
2002
A parallel 2d finite volume scheme for solving systems of balance laws with nonconservative products: application to shallow flows. Zbl 1388.76169
Castro, M. J.; García-Rodríguez, J. A.; González-Vida, J. M.; Parés, C.
9
2006
Finite volume simulation of the geostrophic adjustment in a rotating shallow-water system. Zbl 1183.74332
Castro, Manuel J.; López, Juan Antonio; Parés, Carlos
8
2008
Numerical treatment of the loss of hyperbolicity of the two-layer shallow-water system. Zbl 1416.76140
Castro-Díaz, M. J.; Fernández-Nieto, E. D.; González-Vida, J. M.; Parés-Madroñal, C.
8
2011
Duality methods with an automatic choice of parameters. Application to shallow water equations in conservative form. Zbl 0991.65057
Parés, Carlos; Macías, Jorge; Castro, Manuel
8
2001
Reliability of first order numerical schemes for solving shallow water system over abrupt topography. Zbl 1290.76089
Morales de Luna, T.; Castro Díaz, M. J.; Parés, C.
8
2013
Entropy conservative and entropy stable schemes for nonconservative hyperbolic systems. Zbl 1317.65167
Castro, Manuel J.; Fjordholm, Ulrik S.; Mishra, Siddhartha; Parés, Carlos
8
2013
Well-balanced schemes and path-conservative numerical methods. Zbl 1368.65131
Castro, M. J.; Morales de Luna, T.; Parés, C.
8
2017
A HLLC scheme for nonconservative hyperbolic problems. Application to turbidity currents with sediment transport. Zbl 1268.76037
Castro Díaz, Manuel Jesús; Fernández Nieto, Enrique Domingo; Morales de Luna, Tomás; Narbona-Reina, Gladys; Parés, Carlos
7
2013
Well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. Application to the dam break of Aznalcóllar. Zbl 1194.76150
Castro Díaz, M. J.; Chacón Rebollo, T.; Fernández-Nieto, E. D.; González Vida, J. M.; Parés, C.
6
2008
Application of a combined finite element – finite volume method to a 2D non-hydrostatic shallow water problem. Zbl 1366.76046
Aïssiouene, Nora; Bristeau, Marie-Odile; Godlewski, Edwige; Mangeney, Anne; Parés, Carlos; Sainte-Marie, Jacques
6
2017
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 1136.76394
Castro, Manuel J.; Macías, Jorge; Parés, Carlos; García-Rodríguez, Jose A.; Vázquez-Cendón, Elena
5
2004
On a shallow water model for the simulation of turbidity currents. Zbl 1364.76037
Morales de Luna, T.; Castro Díaz, M. J.; Pares Madronal, C.; Fernández Nieto, E. D.
5
2009
Central schemes for nonconservative hyperbolic systems. Zbl 1255.76080
Castro, 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 1211.76074
Castro, M. J.; García-Rodríguez, J. A.; González-Vida, J. M.; Parés, C.
4
2008
Relation between PVM schemes and simple Riemann solvers. Zbl 1297.65102
Morales de Luna, Tomás; Castro Díaz, Manuel J.; Parés, Carlos
4
2014
Schemes with well-controlled dissipation. hyperbolic systems in nonconservative form. Zbl 1373.76155
Beljadid, Abdelaziz; Lefloch, Philippe G.; Mishra, Siddhartha; Parés, Carlos
4
2017
On some difficulties of the numerical approximation of nonconservative hyperbolic systems. Zbl 1242.65169
Parés, Carlos; Muñoz-Ruiz, María Luz
3
2009
Improved FVM for two-layer shallow-water models: application to the strait of Gibraltar. Zbl 1137.76320
Castro, Manuel J.; García-Rodríguez, José A.; González-Vida, José M.; Macías, Jorge; Parés, Carlos
3
2007
Well-balanced methods for the shallow water equations in spherical coordinates. Zbl 1390.76408
Castro, Manuel J.; Ortega, Sergio; Parés, Carlos
3
2017
Well-balanced high-order finite volume methods for systems of balance laws. Zbl 1440.65109
Castro, Manuel J.; Parés, Carlos
3
2020
Entropy stable schemes for degenerate convection-diffusion equations. Zbl 1359.65152
Jerez, Silvia; Parés, Carlos
3
2017
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 0647.76029
Parés, Carlos
2
1988
Numerical solution of a 1-D elastohydrodynamic problem in magnetic storage devices. Zbl 1203.76052
Arregui, Iñigo; Cendán, José Jesús; Parés, Carlos; Vázquez, Carlos
2
2008
On an intermediate field capturing Riemann solver based on a parabolic viscosity matrix for the two-layer shallow water system. Zbl 1421.76163
Fernández-Nieto, E. D.; Castro Díaz, M. J.; Parés, C.
2
2011
A duality method for sediment transport based on a modified Meyer-Peter & Müller model. Zbl 1426.76408
Morales de Luna, T.; Castro Díaz, M. J.; Parés Madroñal, C.
2
2011
On the hyperbolicity of two-and three-layer shallow water equations. Zbl 1284.35304
Castro, M.; Frings, J. T.; Noelle, S.; Parés, C; Puppo, G.
2
2012
A generalized duality method for solving variational inequalities. Applications to some nonlinear Dirichlet problems. Zbl 1085.65052
Gallardo, José M.; Parés, Carlos; Castro, Manuel
2
2005
Approximation of the solution to turbulence model equations using a Lagrange-Galerkin method. (Approximation de la solution des équations d’un modèle de turbulence par une méthode de Lagrange-Galerkin.) Zbl 0813.76045
Parés, C.
2
1994
On a well-balanced high-order finite volume scheme for the shallow water equations with bottom topography and dry areas. Zbl 1388.76175
Gallardo, J. M.; Castro, M.; Parés, C.; González-Vida, J. M.
2
2008
Path-conservative numerical schemes for nonconservative hyperbolic systems. Zbl 1139.65063
Parés, C.
2
2008
The Riemann problem for the shallow water equations with discontinuous topography: the wet-dry case. Zbl 1416.76025
Parés, Carlos; Pimentel, Ernesto
1
2019
Simulation of turbulence with transient mean. Zbl 0711.76048
Bègue, C.; Cardot, B.; Parès, C.; Pironneau, O.
1
1990
On a general definition of the Godunov method for nonconservative hyperbolic systems. Application to linear balance laws. Zbl 1118.65352
Castro, M. J.; Gallardo, J. M.; Muñoz, M. L.; Parés, C.
1
2006
Well-balanced high-order MUSTA schemes for non-conservative hyperbolic systems. Zbl 1188.65114
Castro, M. J.; Parés, C.; Pardo, A.; Toro, E. F.
1
2008
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 1221.65003
Abgrall, Rémi (ed.); Aregba, Denise (ed.); Berthon, Christophe (ed.); Castro, Manuel (ed.); Parés, Carlos (ed.)
1
2011
On a one-dimensional bi-layer shallow-water problem. Zbl 1048.35084
Muñoz-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 1177.76280
Castro, Manuel J.; García-Rodríguez, Jose A.; Macías, Jorge; Parés, Carlos; Vázquez-Cendón, M. Elena
1
2002
A multi-layer shallow-water model. Applications to the Strait of Gibraltar and the Alboran Sea. Zbl 0891.76050
Castro, M. J.; Macías, J.; Parés, C.
1
1997
Reprint of: “Well-balanced methods for the shallow water equations in spherical coordinates”. Zbl 1391.76392
Castro, Manuel J.; Ortega, Sergio; Parés, Carlos
1
2018
A two-dimensional method for a family of dispersive shallow water models. Zbl 1452.65221
Aïssiouene, Nora; Bristeau, Marie-Odile; Godlewski, Edwige; Mangeney, Anne; Parés Madroñal, Carlos; Sainte-Marie, Jacques
1
2020
Well-balanced high-order finite volume methods for systems of balance laws. Zbl 1440.65109
Castro, Manuel J.; Parés, Carlos
3
2020
A two-dimensional method for a family of dispersive shallow water models. Zbl 1452.65221
Aïssiouene, Nora; Bristeau, Marie-Odile; Godlewski, Edwige; Mangeney, Anne; Parés Madroñal, Carlos; Sainte-Marie, Jacques
1
2020
The Riemann problem for the shallow water equations with discontinuous topography: the wet-dry case. Zbl 1416.76025
Parés, Carlos; Pimentel, Ernesto
1
2019
Reprint of: “Well-balanced methods for the shallow water equations in spherical coordinates”. Zbl 1391.76392
Castro, Manuel J.; Ortega, Sergio; Parés, Carlos
1
2018
Well-balanced schemes and path-conservative numerical methods. Zbl 1368.65131
Castro, M. J.; Morales de Luna, T.; Parés, C.
8
2017
Application of a combined finite element – finite volume method to a 2D non-hydrostatic shallow water problem. Zbl 1366.76046
Aïssiouene, Nora; Bristeau, Marie-Odile; Godlewski, Edwige; Mangeney, Anne; Parés, Carlos; Sainte-Marie, Jacques
6
2017
Schemes with well-controlled dissipation. hyperbolic systems in nonconservative form. Zbl 1373.76155
Beljadid, Abdelaziz; Lefloch, Philippe G.; Mishra, Siddhartha; Parés, Carlos
4
2017
Well-balanced methods for the shallow water equations in spherical coordinates. Zbl 1390.76408
Castro, Manuel J.; Ortega, Sergio; Parés, Carlos
3
2017
Entropy stable schemes for degenerate convection-diffusion equations. Zbl 1359.65152
Jerez, Silvia; Parés, Carlos
3
2017
Relation between PVM schemes and simple Riemann solvers. Zbl 1297.65102
Morales de Luna, Tomás; Castro Díaz, Manuel J.; Parés, Carlos
4
2014
Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties. Zbl 1323.92066
Müller, Lucas O.; Parés, Carlos; Toro, Eleuterio F.
31
2013
High order exactly well-balanced numerical methods for shallow water systems. Zbl 1349.76315
Castro Díaz, M. J.; López-García, J. A.; Parés, Carlos
27
2013
Reliability of first order numerical schemes for solving shallow water system over abrupt topography. Zbl 1290.76089
Morales de Luna, T.; Castro Díaz, M. J.; Parés, C.
8
2013
Entropy conservative and entropy stable schemes for nonconservative hyperbolic systems. Zbl 1317.65167
Castro, Manuel J.; Fjordholm, Ulrik S.; Mishra, Siddhartha; Parés, Carlos
8
2013
A HLLC scheme for nonconservative hyperbolic problems. Application to turbidity currents with sediment transport. Zbl 1268.76037
Castro Díaz, Manuel Jesús; Fernández Nieto, Enrique Domingo; Morales de Luna, Tomás; Narbona-Reina, Gladys; Parés, Carlos
7
2013
Central schemes for nonconservative hyperbolic systems. Zbl 1255.76080
Castro, M. J.; Parés, Carlos; Puppo, Gabriella; Russo, Giovanni
4
2012
On the hyperbolicity of two-and three-layer shallow water equations. Zbl 1284.35304
Castro, 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 1230.65102
Muñoz-Ruiz, María Luz; Parés, Carlos
11
2011
Numerical treatment of the loss of hyperbolicity of the two-layer shallow-water system. Zbl 1416.76140
Castro-Díaz, M. J.; Fernández-Nieto, E. D.; González-Vida, J. M.; Parés-Madroñal, C.
8
2011
On an intermediate field capturing Riemann solver based on a parabolic viscosity matrix for the two-layer shallow water system. Zbl 1421.76163
Fernández-Nieto, E. D.; Castro Díaz, M. J.; Parés, C.
2
2011
A duality method for sediment transport based on a modified Meyer-Peter & Müller model. Zbl 1426.76408
Morales de Luna, T.; Castro Díaz, M. J.; Parés Madroñal, C.
2
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 1221.65003
Abgrall, Rémi; Aregba, Denise; Berthon, Christophe; Castro, Manuel; Parés, Carlos
1
2011
FORCE schemes on unstructured meshes. II: Non-conservative hyperbolic systems. Zbl 1227.76043
Dumbser, Michael; Hidalgo, Arturo; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F.
56
2010
On some fast well-balanced first order solvers for nonconservative systems. Zbl 1369.65107
Castro, Manuel J.; Pardo, Alberto; Parés, Carlos; Toro, E. F.
29
2010
ADER schemes on unstructured meshes for nonconservative hyperbolic systems: applications to geophysical flows. Zbl 1177.76222
Dumbser, Michael; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F.
80
2009
High order extensions of roe schemes for two-dimensional nonconservative hyperbolic systems. Zbl 1203.65131
Castro, M. J.; Fernández-Nieto, E. D.; Ferreiro, A. M.; García-Rodríguez, J. A.; Parés, C.
31
2009
Two-dimensional sediment transport models in shallow water equations. A second order finite volume approach on unstructured meshes. Zbl 1228.76091
Castro Díaz, M. J.; Fernández-Nieto, E. D.; Ferreiro, A. M.; Parés, C.
15
2009
On a shallow water model for the simulation of turbidity currents. Zbl 1364.76037
Morales 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 1242.65169
Parés, Carlos; Muñoz-Ruiz, María Luz
3
2009
Why many theories of shock waves are necessary: convergence error in formally path-consistent schemes. Zbl 1176.76084
Castro, Manuel J.; LeFloch, Philippe G.; Muñoz-Ruiz, María Luz; Parés, Carlos
77
2008
Well-balanced high order extensions of Godunov’s method for semilinear balance laws. Zbl 1159.74045
Castro, Manuel; Gallardo, José M.; López-García, Juan A.; Parés, Carlos
30
2008
Finite volume simulation of the geostrophic adjustment in a rotating shallow-water system. Zbl 1183.74332
Castro, 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 1194.76150
Castro 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 1211.76074
Castro, 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 1203.76052
Arregui, Iñigo; Cendán, José Jesús; Parés, Carlos; Vázquez, Carlos
2
2008
On a well-balanced high-order finite volume scheme for the shallow water equations with bottom topography and dry areas. Zbl 1388.76175
Gallardo, J. M.; Castro, M.; Parés, C.; González-Vida, J. M.
2
2008
Path-conservative numerical schemes for nonconservative hyperbolic systems. Zbl 1139.65063
Parés, C.
2
2008
Well-balanced high-order MUSTA schemes for non-conservative hyperbolic systems. Zbl 1188.65114
Castro, 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 1126.76036
Gallardo, José M.; Parés, Carlos; Castro, Manuel
75
2007
Well-balanced numerical schemes based on a generalized hydrostatic reconstruction technique. Zbl 1137.76038
Castro, Manuel J.; Milanés, Alberto Pardo; Parés, Carlos
40
2007
Godunov method for nonconservative hyperbolic systems. Zbl 1124.65077
Muñoz-Ruiz, María Luz; Parés, Carlos
27
2007
On well-balanced finite volume methods for nonconservative nonhomogeneous hyperbolic systems. Zbl 1148.65065
Castro Díaz, M. J.; Chacón Rebollo, T.; Fernández-Nieto, E. D.; Parés, Carlos
16
2007
Improved FVM for two-layer shallow-water models: application to the strait of Gibraltar. Zbl 1137.76320
Castro, 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 1130.65089
Parés, Carlos
133
2006
High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems. Zbl 1096.65082
Castro, Manuel; Gallardo, José M.; Parés, Carlos
109
2006
Numerical treatment of wet/dry fronts in shallow flows with a modified Roe scheme. Zbl 1136.65330
Castro, Manuel J.; González-Vida, José M.; Parés, Carlos
25
2006
A parallel 2d finite volume scheme for solving systems of balance laws with nonconservative products: application to shallow flows. Zbl 1388.76169
Castro, 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 1118.65352
Castro, 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 1121.76008
Castro, M. J.; Ferreiro Ferreiro, A. M.; García-Rodríguez, J. A.; González-Vida, J. M.; Macías, J.; Parés, C.; Vázquez-Cendón, M. Elena
47
2005
A generalized duality method for solving variational inequalities. Applications to some nonlinear Dirichlet problems. Zbl 1085.65052
Gallardo, 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 1130.76325
Parés, Carlos; Castro, Manuel
78
2004
Numerical simulation of two-layer shallow water flows through channels with irregular geometry. Zbl 1087.76077
Castro, Manuel J.; García-Rodríguez, José A.; González-Vida, José M.; Macías, Jorge; Parés, Carlos; Vázquez-Cendón, M. Elena
27
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 1136.76394
Castro, 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 1048.35084
Muñoz-Ruiz, María Luz; Castro-Díaz, Manuel Jesús; Parés, Carlos
1
2003
On the convergence of the Bermúdez-Moreno algorithm with constant parameters. Zbl 1003.65069
Parés, 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 1177.76280
Castro, 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 1094.76046
Castro, Manuel; Macías, Jorge; Parés, Carlos
50
2001
Duality methods with an automatic choice of parameters. Application to shallow water equations in conservative form. Zbl 0991.65057
Parés, Carlos; Macías, Jorge; Castro, Manuel
8
2001
Improvement and generalization of a finite element shallow-water solver to multi-layer systems. Zbl 0969.76045
Macías, Jorge; Pares, Carlos; Castro, Manuel J.
10
1999
A multi-layer shallow-water model. Applications to the Strait of Gibraltar and the Alboran Sea. Zbl 0891.76050
Castro, M. J.; Macías, J.; Parés, C.
1
1997
Navier-Stokes equations with imposed pressure and velocity fluxes. Zbl 0831.76011
Conca, C.; Pares, C.; Pironneau, O.; Thiriet, M.
30
1995
Approximation of the solution to turbulence model equations using a Lagrange-Galerkin method. (Approximation de la solution des équations d’un modèle de turbulence par une méthode de Lagrange-Galerkin.) Zbl 0813.76045
Parés, C.
2
1994
Existence, uniqueness and regularity of solution of the equations of a turbulence model for incompressible fluids. Zbl 0739.35075
Parés, Carlos
24
1992
Simulation of turbulence with transient mean. Zbl 0711.76048
Bègue, 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 0647.76029
Parés, Carlos
2
1988
all top 5

Cited by 731 Authors

53 Dumbser, Michael
38 Parés Madroñal, Carlos
36 Castro, Manuel J.
23 Fernández-Nieto, Enrique Domingo
18 Toro, Eleuterio F.
15 Castro-Díaz, Manuel Jesús
15 Morales de Luna, Tomás
12 Kurganov, Alexander
11 Berthon, Christophe
11 Boscheri, Walter
10 Bouchut, François
9 Gallardo, José M.
9 Mai Duc Thanh
9 Mishra, Siddhartha
9 Tavelli, Maurizio
9 Xing, Yulong
8 Mangeney, Anne
8 Murillo, Javier
8 Narbona-Reina, Gladys
7 Audusse, Emmanuel
7 Clain, Stéphane Louis
7 Delis, Argiris I.
7 García-Rodríguez, José Antonio
7 LeFloch, Philippe Gerard
7 Li, Gang
7 Ricchiuto, Mario
6 Balsara, Dinshaw S.
6 Chacón Rebollo, Tomás
6 Delestre, Olivier
6 Duran, Arnaud
6 Escalante, Cipriano
6 Foucher, Françoise
6 González-Vida, José Manuel
6 Muñoz-Ruiz, María Luz
6 Navas-Montilla, A.
6 Rosatti, Giorgio
6 Seaïd, Mohammed
6 Vázquez-Cendón, María Elena
5 Busto, Saray
5 Chalons, Christophe
5 Cuong, Dao Huy
5 Garcia-Navarro, Pilar
5 Hidalgo, Arturo
5 Kazolea, M.
5 Kesserwani, Georges
5 Loubère, Raphaël
5 Montecinos, Gino I.
5 Pelanti, Marica
5 Sainte-Marie, Jacques
5 Touma, Rony
5 Vila, Jean-Paul
4 Amara, Mohamed
4 Begnudelli, Lorenzo
4 Beirão da Veiga, Hugo
4 Caleffi, Valerio
4 Coquel, Frédéric
4 Cordier, Stéphane
4 Crispo, Francesca
4 de la Asunción, Marc
4 Gaburro, Elena
4 Karni, Smadar
4 Lagrée, Pierre-Yves
4 Lhébrard, Xavier
4 Liang, Qiuhua
4 Macías Sánchez, Jorge
4 Marche, Fabien
4 Mohammadian, Abdolmajid M.
4 Müller, Lucas O.
4 Munz, Claus-Dieter
4 Pantano, Carlos
4 Penel, Yohan
4 Shu, Chi-Wang
4 Tokareva, Svetlana A.
4 Trujillo, David M.
4 Valiani, Alessandro
4 Vigneaux, Paul
4 Zabsonré, Jean De Dieu
4 Zeitlin, Vladimir
3 Bader, Michael
3 Baeza, Antonio
3 Bokhove, Onno
3 Bresch, Didier
3 Bristeau, Marie-Odile
3 Brull, Stephane
3 Carrillo de la Plata, José Antonio
3 Chertock, Alina E.
3 Do, Minh Hieu
3 Donat, Rosa
3 Dong, Jian
3 Ferreiro, Ana M.
3 Fullana, Jose-Maria
3 Gao, Jinmei
3 Garres-Díaz, José
3 Gassner, Gregor J.
3 Ghigo, Arthur R.
3 Iben, Uwe
3 Izem, Nouh
3 James, François
3 LeVeque, Randall J.
3 Lucas, Carine
...and 631 more Authors
all top 5

Cited in 96 Serials

118 Journal of Computational Physics
74 Computers and Fluids
37 Journal of Scientific Computing
29 Computer Methods in Applied Mechanics and Engineering
23 Applied Mathematics and Computation
14 Applied Numerical Mathematics
14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 Journal of Computational and Applied Mathematics
9 Journal of Fluid Mechanics
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 SIAM Journal on Numerical Analysis
8 SIAM Journal on Scientific Computing
7 Computers & Mathematics with Applications
7 Mathematics of Computation
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Applied Mathematical Modelling
5 Journal of Mathematical Analysis and Applications
5 Mathematics and Computers in Simulation
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Numerische Mathematik
4 International Journal for Numerical Methods in Fluids
4 Journal of Engineering Mathematics
4 Chinese Annals of Mathematics. Series B
4 Mathematical and Computer Modelling
4 Journal of Mathematical Fluid Mechanics
4 Nonlinear Analysis. Real World Applications
4 Multiscale Modeling & Simulation
3 Advances in Computational Mathematics
3 European Journal of Mechanics. B. Fluids
3 Archives of Computational Methods in Engineering
3 Acta Numerica
3 Networks and Heterogeneous Media
2 Archive for Rational Mechanics and Analysis
2 Applied Mathematics and Optimization
2 Numerical Methods for Partial Differential Equations
2 Applied Mathematics Letters
2 Computational Mathematics and Mathematical Physics
2 SIAM Journal on Applied Mathematics
2 Continuum Mechanics and Thermodynamics
2 Calculus of Variations and Partial Differential Equations
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 Communications in Nonlinear Science and Numerical Simulation
2 Matematicheskoe Modelirovanie
2 Discrete and Continuous Dynamical Systems. Series B
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Journal of Applied Mathematics and Computing
2 Journal of Hyperbolic Differential Equations
2 Mediterranean Journal of Mathematics
2 S\(\vec{\text{e}}\)MA Journal
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Acta Mechanica
1 Classical and Quantum Gravity
1 Wave Motion
1 Theoretical and Computational Fluid Dynamics
1 International Journal for Numerical Methods in Engineering
1 Journal of Differential Equations
1 Mathematische Annalen
1 Acta Mathematicae Applicatae Sinica. English Series
1 Asymptotic Analysis
1 MCSS. Mathematics of Control, Signals, and Systems
1 European Journal of Applied Mathematics
1 Annals of Operations Research
1 Japan Journal of Industrial and Applied Mathematics
1 Numerical Algorithms
1 SIAM Journal on Mathematical Analysis
1 Journal of Nonlinear Science
1 Journal of Mathematical Sciences (New York)
1 Computational and Applied Mathematics
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Engineering Analysis with Boundary Elements
1 Mathematical Problems in Engineering
1 Computing and Visualization in Science
1 Taiwanese Journal of Mathematics
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal of the European Mathematical Society (JEMS)
1 Computational Geosciences
1 Journal of Evolution Equations
1 Journal of Applied Mathematics
1 Portugaliae Mathematica. Nova Série
1 Journal of Numerical Mathematics
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Acta Mechanica Sinica
1 Communications in Applied Mathematics and Computational Science
1 Mathematical Modelling of Natural Phenomena
1 Discrete and Continuous Dynamical Systems. Series S
1 International Journal for Numerical Methods in Biomedical Engineering
1 Arabian Journal for Science and Engineering
1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
1 Axioms
1 Advances in Nonlinear Analysis
1 East Asian Journal on Applied Mathematics
1 International Journal of Applied and Computational Mathematics
1 Water Waves

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