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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: 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

Publications by Year

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 1130.65089
Parés, 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 1096.65082
Castro, 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 1130.76325
Parés, Carlos; Castro, Manuel
77
2004
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.
72
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
71
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
67
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.
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 1094.76046
Castro, 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 1121.76008
Castro, 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 1137.76038
Castro, 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 1323.92066
Müller, Lucas O.; Parés, Carlos; Toro, Eleuterio F.
30
2013
On some fast well-balanced first order solvers for nonconservative systems. Zbl 1369.65107
Castro, Manuel J.; Pardo, Alberto; Parés, Carlos; Toro, E. F.
28
2010
High order extensions of roe schemes for two-dimensional nonconservative hyperbolic systems. Zbl 1203.65131
Castro, 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 0831.76011
Conca, C.; Pares, C.; Pironneau, O.; Thiriet, M.
28
1995
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
26
2004
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
25
2008
High order exactly well-balanced numerical methods for shallow water systems. Zbl 1349.76315
Castro 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 1136.65330
Castro, 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 0739.35075
Parés, Carlos
23
1992
Godunov method for nonconservative hyperbolic systems. Zbl 1124.65077
Muñoz-Ruiz, María Luz; Parés, Carlos
22
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
15
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.
13
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
10
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
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 the convergence of the Bermúdez-Moreno algorithm with constant parameters. Zbl 1003.65069
Parés, Carlos; Castro, Manuel; Macías, Jorge
9
2002
Duality methods with an automatic choice of parameters. Application to shallow water equations in conservative form. Zbl 0991.65057
Parés, Carlos; Macías, Jorge; Castro, Manuel
9
2001
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
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
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.
7
2013
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.
7
2011
Well-balanced schemes and path-conservative numerical methods. Zbl 1368.65131
Castro, 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 1268.76037
Castro 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 1194.76150
Castro 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 1364.76037
Morales 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 1136.76394
Castro, 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 1373.76155
Beljadid, 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 1366.76046
Aïssiouene, Nora; Bristeau, Marie-Odile; Godlewski, Edwige; Mangeney, Anne; Parés, Carlos; Sainte-Marie, Jacques
4
2017
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
Well-balanced methods for the shallow water equations in spherical coordinates. Zbl 1390.76408
Castro, Manuel J.; Ortega, Sergio; Parés, Carlos
3
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
Entropy stable schemes for degenerate convection-diffusion equations. Zbl 1359.65152
Jerez, Silvia; Parés, Carlos
2
2017
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 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
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
Path-conservative numerical schemes for nonconservative hyperbolic systems. Zbl 1139.65063
Parés, C.
2
2008
On a well-balanced high-order finite volume scheme for the shallow water equations with bottom topography and dry areas. Zbl 1388.76175
Gallardo, 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 1085.65052
Gallardo, José M.; Parés, Carlos; Castro, Manuel
2
2005
Approximation of the solution to turbulence model equations using a Lagrange-Galerkin method. Zbl 0813.76045
Parés, 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 0647.76029
Parés, Carlos
2
1988
Compact approximate Taylor methods for systems of conservation laws. Zbl 07121242
Carrillo, H.; Parés, C.
1
2019
Relation between PVM schemes and simple Riemann solvers. Zbl 1297.65102
Morales 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 1421.76163
Fernández-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 1221.65003
Abgrall, 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 1188.65114
Castro, 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 1118.65352
Castro, M. J.; Gallardo, J. M.; Muñoz, M. L.; Parés, C.
1
2006
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
Existence, uniqueness and regularity of solution of the equations of a turbulence model for incompressible fluids. Zbl 0727.35109
Pares, Carlos
1
1992
Simulation of turbulence with transient mean. Zbl 0711.76048
Bègue, C.; Cardot, B.; Parès, C.; Pironneau, O.
1
1990
Compact approximate Taylor methods for systems of conservation laws. Zbl 07121242
Carrillo, H.; Parés, C.
1
2019
Well-balanced schemes and path-conservative numerical methods. Zbl 1368.65131
Castro, M. J.; Morales de Luna, T.; Parés, C.
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
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
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
2
2017
Relation between PVM schemes and simple Riemann solvers. Zbl 1297.65102
Morales 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 1323.92066
Müller, Lucas O.; Parés, Carlos; Toro, Eleuterio F.
30
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
24
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
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.
7
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
6
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
10
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.
7
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 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.
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 1221.65003
Abgrall, 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 1227.76043
Dumbser, Michael; Hidalgo, Arturo; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F.
53
2010
On some fast well-balanced first order solvers for nonconservative systems. Zbl 1369.65107
Castro, 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 1177.76222
Dumbser, Michael; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F.
72
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.
28
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.
13
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
71
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
25
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
Path-conservative numerical schemes for nonconservative hyperbolic systems. Zbl 1139.65063
Parés, C.
2
2008
On a well-balanced high-order finite volume scheme for the shallow water equations with bottom topography and dry areas. Zbl 1388.76175
Gallardo, J. M.; Castro, M.; Parés, C.; González-Vida, J. M.
2
2008
Well-balanced high-order MUSTA schemes for non-conservative hyperbolic systems. Zbl 1188.65114
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
67
2007
Well-balanced numerical schemes based on a generalized hydrostatic reconstruction technique. Zbl 1137.76038
Castro, Manuel J.; Milanés, Alberto Pardo; Parés, Carlos
38
2007
Godunov method for nonconservative hyperbolic systems. Zbl 1124.65077
Muñoz-Ruiz, María Luz; Parés, Carlos
22
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
15
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
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 1096.65082
Castro, Manuel; Gallardo, José M.; Parés, Carlos
101
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
24
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
45
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
77
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
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 1136.76394
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
48
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
9
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
Navier-Stokes equations with imposed pressure and velocity fluxes. Zbl 0831.76011
Conca, C.; Pares, C.; Pironneau, O.; Thiriet, M.
28
1995
Approximation of the solution to turbulence model equations using a Lagrange-Galerkin method. 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
23
1992
Existence, uniqueness and regularity of solution of the equations of a turbulence model for incompressible fluids. Zbl 0727.35109
Pares, Carlos
1
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 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
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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. Mathematical Models & Methods in Applied Sciences
8 Journal of Fluid Mechanics
8 SIAM Journal on Numerical Analysis
7 Computers & Mathematics with Applications
6 Mathematics of Computation
6 Applied Mathematical Modelling
6 SIAM Journal on Scientific Computing
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Journal of Mathematical Analysis and Applications
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 Nonlinear Analysis. Real World Applications
4 Multiscale Modeling & Simulation
3 Mathematics and Computers in Simulation
3 Journal of Mathematical Fluid Mechanics
3 European Journal of Mechanics. B. Fluids
3 Archives of Computational Methods in Engineering
3 Acta Numerica
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 Advances in Computational Mathematics
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 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 Networks and Heterogeneous Media
2 Mathematical Modelling of Natural Phenomena
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 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 Matematicheskoe Modelirovanie
1 Journal of Applied Mathematics
1 Portugaliae Mathematica. Nova Série
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 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

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