Carlos Parés

Publication Activity (10 Years)

Years Active: 2001-2024
Publications (10 Years): 25

Top Topics

Conservation Laws

Chronological Backtracking

Partial Differential Equations

Top Venues

J. Comput. Phys.

J. Sci. Comput.

Appl. Math. Comput.

Publications

Ernesto Pimentel-García, Manuel J. Castro, Christophe Chalons, Carlos Parés
High-order In-cell Discontinuous Reconstruction path-conservative methods for nonconservative hyperbolic systems - DR.MOOD generalization. CoRR (2024)
Baifen Ren, Carlos Parés
High-order WENO finite-difference methods for hyperbolic nonconservative systems of Partial Differential Equations. CoRR (2024)
Emanuele Macca, Raphaël Loubère, Carlos Parés, Giovanni Russo
An almost fail-safe a-posteriori limited high-order CAT scheme. J. Comput. Phys. 498 (2024)
Hugo Carrillo, Emanuele Macca, Carlos Parés, Giovanni Russo
Well-balanced adaptive compact approximate Taylor methods for systems of balance laws. J. Comput. Phys. 478 (2023)
Ernesto Pimentel-García, Lucas O. Müller, Eleuterio F. Toro, Carlos Parés
High-order fully well-balanced numerical methods for one-dimensional blood flow with discontinuous properties. J. Comput. Phys. 475 (2023)
Raphaël Loubère, Emanuele Macca, Carlos Parés, Giovanni Russo
CAT-MOOD methods for conservation laws in one space dimension. CoRR (2023)
Emanuele Macca, Raphaël Loubère, Carlos Parés, Giovanni Russo
An almost fail-safe a-posteriori limited high-order CAT scheme. CoRR (2023)
Hugo Carrillo, E. Macca, Carlos Parés, G. Russo
Well-balanced adaptive compact approximate Taylor methods for systems of balance laws. CoRR (2022)
Ernesto Pimentel-García, Manuel J. Castro, Christophe Chalons, Tomás Morales de Luna, Carlos Parés
In-cell discontinuous reconstruction path-conservative methods for non conservative hyperbolic systems - Second-order extension. J. Comput. Phys. 459 (2022)
Irene Gómez-Bueno, Sebastiano Boscarino, Manuel Jesús Castro Díaz, Carlos Parés, Giovanni Russo
Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws. CoRR (2022)
Philippe G. LeFloch, Carlos Parés, Ernesto Pimentel-García
A Class of Well-Balanced Algorithms for Relativistic Fluids on a Schwarzschild Background. J. Sci. Comput. 89 (1) (2021)
Irene Gómez-Bueno, Manuel J. Castro, Carlos Parés
High-order well-balanced methods for systems of balance laws: a control-based approach. Appl. Math. Comput. 394 (2021)
Kleiton A. Schneider, José M. Gallardo, Dinshaw S. Balsara, Boniface Nkonga, Carlos Parés
Multidimensional approximate Riemann solvers for hyperbolic nonconservative systems. Applications to shallow water systems. J. Comput. Phys. 444 (2021)
Ernesto Pimentel-García, Carlos Parés, Manuel J. Castro, Julian Koellermeier
On the efficient implementation of PVM methods and simple Riemann solvers. Application to the Roe method for large hyperbolic systems. Appl. Math. Comput. 388 (2021)
Ernesto Pimentel-García, Manuel J. Castro, Christophe Chalons, Tomás Morales de Luna, Carlos Parés
In-cell Discontinuous Reconstruction path-conservative methods for non conservative hyperbolic systems - Second-order extension. CoRR (2021)
Hugo Carrillo, Carlos Parés, David Zorío
Lax-Wendroff Approximate Taylor Methods with Fast and Optimized Weighted Essentially Non-oscillatory Reconstructions. J. Sci. Comput. 86 (1) (2021)
Carlos Parés, Carlos Parés-Pulido
Well-balanced high-order finite difference methods for systems of balance laws. J. Comput. Phys. 425 (2021)
Carlos Parés, Carlos Parés-Pulido
Well-balanced high-order finite difference methods for systems of balance laws. CoRR (2020)
Hugo Carrillo, Carlos Parés, David Zorío
Lax Wendroff approximate Taylor methods with fast and optimized weighted essentially non-oscillatory reconstructions. CoRR (2020)
Philippe G. LeFloch, Carlos Parés, Ernesto Pimentel-García
Well-balanced algorithms for relativistic fluids on a Schwarzschild background. CoRR (2020)
Hugo Carrillo, E. Macca, Giovanni Russo, Carlos Parés, David Zorío
An order-adaptive compact approximation Taylor method for systems of conservation laws. CoRR (2020)
Manuel J. Castro, Carlos Parés
Well-Balanced High-Order Finite Volume Methods for Systems of Balance Laws. J. Sci. Comput. 82 (2) (2020)
Hugo Carrillo, Carlos Parés
Compact Approximate Taylor Methods for Systems of Conservation Laws. J. Sci. Comput. 80 (3) (2019)
Carlos Parés, Ernesto Pimentel
The Riemann problem for the shallow water equations with discontinuous topography: The wet-dry case. J. Comput. Phys. 378 (2019)
Silvia Jerez, Carlos Parés
Entropy Stable Schemes for Degenerate Convection-Diffusion Equations. SIAM J. Numer. Anal. 55 (1) (2017)
Lucas O. Müller, Carlos Parés, Eleuterio F. Toro
Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties. J. Comput. Phys. 242 (2013)
Manuel Jesús Castro Díaz, Juan A. López-García, Carlos Parés
High order exactly well-balanced numerical methods for shallow water systems. J. Comput. Phys. 246 (2013)
Tomás Morales de Luna, Manuel Jesús Castro Díaz, Carlos Parés
Reliability of first order numerical schemes for solving shallow water system over abrupt topography. Appl. Math. Comput. 219 (17) (2013)
Manuel J. Castro, Carlos Parés, Gabriella Puppo, Giovanni Russo
Central Schemes for Nonconservative Hyperbolic Systems. SIAM J. Sci. Comput. 34 (5) (2012)
Enrique Domingo Fernández-Nieto, Manuel Jesús Castro Díaz, Carlos Parés
On an Intermediate Field Capturing Riemann Solver Based on a Parabolic Viscosity Matrix for the Two-Layer Shallow Water System. J. Sci. Comput. 48 (1-3) (2011)
Rémi Abgrall, Denise Aregba, Christophe Berthon, Manuel J. Castro, Carlos Parés
Preface. J. Sci. Comput. 48 (1-3) (2011)
Manuel J. Castro, Alberto Pardo, Carlos Parés, Eleuterio F. Toro
On some fast well-balanced first order solvers for nonconservative systems. Math. Comput. 79 (271) (2010)
Manuel Jesús Castro Díaz, Enrique Domingo Fernández-Nieto, Ana M. Ferreiro, José Antonio García-Rodríguez, Carlos Parés
High Order Extensions of Roe Schemes for Two-Dimensional Nonconservative Hyperbolic Systems. J. Sci. Comput. 39 (1) (2009)
Manuel J. Castro, José M. Gallardo, Juan A. López-García, Carlos Parés
Well-Balanced High Order Extensions of Godunov's Method for Semilinear Balance Laws. SIAM J. Numer. Anal. 46 (2) (2008)
Manuel J. Castro, Philippe G. LeFloch, María Luz Muñoz-Ruiz, Carlos Parés
Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes. J. Comput. Phys. 227 (17) (2008)
Manuel J. Castro, Juan Antonio López, Carlos Parés
Finite Volume Simulation of the Geostrophic Adjustment in a Rotating Shallow-Water System. SIAM J. Sci. Comput. 31 (1) (2008)
Manuel Jesús Castro Díaz, José Antonio García-Rodríguez, José M. González-Vida, Jorge Macías Sánchez, Carlos Parés
Improved FVM for two-layer shallow-water models: Application to the Strait of Gibraltar. Adv. Eng. Softw. 38 (6) (2007)
Manuel Jesús Castro Díaz, T. Chacón Rebollo, Enrique Domingo Fernández-Nieto, Carlos Parés
On Well-Balanced Finite Volume Methods for Nonconservative Nonhomogeneous Hyperbolic Systems. SIAM J. Sci. Comput. 29 (3) (2007)
José M. Gallardo, Carlos Parés, Manuel J. Castro
On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas. J. Comput. Phys. 227 (1) (2007)
Manuel J. Castro, José M. Gallardo, Carlos Parés
High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems. Math. Comput. 75 (255) (2006)
Carlos Parés
Numerical methods for nonconservative hyperbolic systems: a theoretical framework. SIAM J. Numer. Anal. 44 (1) (2006)
Manuel J. Castro, Ana M. Ferreiro, José Antonio García-Rodríguez, José M. González-Vida, Jorge Macías Sánchez, Carlos Parés, M. Elena Vázquez-Cendón
The numerical treatment of wet/dry fronts in shallow flows: application to one-layer and two-layer systems. Math. Comput. Model. 42 (3-4) (2005)
José M. Gallardo, Carlos Parés, Manuel J. Castro
A generalized duality method for solving variational inequalities Applications to some nonlinear Dirichlet problems. Numerische Mathematik 100 (2) (2005)
Carlos Parés, Manuel J. Castro, Jorge Macías Sánchez
On the convergence of the Bermúdez-Moreno algorithm with constant parameters. Numerische Mathematik 92 (1) (2002)
Carlos Parés, Jorge Macías Sánchez, Manuel J. Castro
Duality methods with an automatic choice of parameters Application to shallow water equations in conservative form. Numerische Mathematik 89 (1) (2001)