Carlos Parés
Cited by
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Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
C Parés
SIAM Journal on Numerical Analysis 44 (1), 300-321, 2006
High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems
M Castro, J Gallardo, C Parés
Mathematics of computation 75 (255), 1103-1134, 2006
On the well-balance property of Roe's method for nonconservative hyperbolic systems. Applications to shallow-water systems
C Parés, M Castro
ESAIM: mathematical modelling and numerical analysis 38 (5), 821-852, 2004
Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes
MJ Castro, PG LeFloch, ML Muñoz-Ruiz, C Parés
Journal of Computational Physics 227 (17), 8107-8129, 2008
On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas
JM Gallardo, C Parés, M Castro
Journal of Computational Physics 227 (1), 574-601, 2007
ADER schemes on unstructured meshes for nonconservative hyperbolic systems: Applications to geophysical flows
M Dumbser, M Castro, C Parés, EF Toro
Computers & Fluids 38 (9), 1731-1748, 2009
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
M Castro, J Macías, C Parés
ESAIM: Mathematical Modelling and Numerical Analysis 35 (1), 107-127, 2001
FORCE schemes on unstructured meshes II: Non-conservative hyperbolic systems
M Dumbser, A Hidalgo, M Castro, C Parés, EF Toro
Computer Methods in Applied Mechanics and Engineering 199 (9-12), 625-647, 2010
Well-balanced numerical schemes based on a generalized hydrostatic reconstruction technique
MJ Castro, A Pardo Milanés, C Parés
Mathematical Models and Methods in Applied Sciences 17 (12), 2055-2113, 2007
The numerical treatment of wet/dry fronts in shallow flows: application to one-layer and two-layer systems
MJ Castro, AMF Ferreiro, JA García-Rodríguez, JM González-Vida, ...
Mathematical and computer modelling 42 (3-4), 419-439, 2005
Numerical simulation of two-layer shallow water flows through channels with irregular geometry
MJ Castro, JA Garcıa-Rodrıguez, JM González-Vida, J Macıas, C Parés, ...
Journal of Computational Physics 195 (1), 202-235, 2004
High order extensions of Roe schemes for two-dimensional nonconservative hyperbolic systems
MJ Castro, ED Fernández-Nieto, AM Ferreiro, JA García-Rodríguez, ...
Journal of Scientific Computing 39, 67-114, 2009
Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties
LO Müller, C Parés, EF Toro
Journal of computational physics 242, 53-85, 2013
Two-dimensional sediment transport models in shallow water equations. A second order finite volume approach on unstructured meshes
MJC Dı, ED Fernández-Nieto, AM Ferreiro, C Parés
Computer Methods in Applied Mechanics and Engineering 198 (33-36), 2520-2538, 2009
On some fast well-balanced first order solvers for nonconservative systems
M Castro, A Pardo, C Parés, E Toro
Mathematics of computation 79 (271), 1427-1472, 2010
Well-balanced high order extensions of Godunov's method for semilinear balance laws
M Castro, JM Gallardo, JA López-GarcÍa, C Parés
SIAM Journal on Numerical Analysis 46 (2), 1012-1039, 2008
Numerical treatment of the loss of hyperbolicity of the two-layer shallow-water system
MJ Castro-Díaz, ED Fernández-Nieto, JM González-Vida, ...
Journal of Scientific Computing 48, 16-40, 2011
Well-balanced schemes and path-conservative numerical methods
MJ Castro, TM de Luna, C Parés
Handbook of numerical analysis 18, 131-175, 2017
Well-balanced high-order finite volume methods for systems of balance laws
MJ Castro, C Parés
Journal of Scientific Computing 82 (2), 48, 2020
High order exactly well-balanced numerical methods for shallow water systems
MJC Díaz, JA López-García, C Parés
Journal of Computational Physics 246, 242-264, 2013
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