Carlos Parés Madroñal

Orcid: 0000-0002-9545-5635

According to our database1, Carlos Parés Madroñal authored at least 45 papers between 2001 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2024
An almost fail-safe a-posteriori limited high-order CAT scheme.
J. Comput. Phys., February, 2024

High-order WENO finite-difference methods for hyperbolic nonconservative systems of Partial Differential Equations.
CoRR, 2024

High-order In-cell Discontinuous Reconstruction path-conservative methods for nonconservative hyperbolic systems - DR.MOOD generalization.
CoRR, 2024

2023
Well-balanced adaptive compact approximate Taylor methods for systems of balance laws.
J. Comput. Phys., April, 2023

High-order fully well-balanced numerical methods for one-dimensional blood flow with discontinuous properties.
J. Comput. Phys., February, 2023

CAT-MOOD methods for conservation laws in one space dimension.
CoRR, 2023

2022
In-cell discontinuous reconstruction path-conservative methods for non conservative hyperbolic systems - Second-order extension.
J. Comput. Phys., 2022

Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws.
CoRR, 2022

2021
A Class of Well-Balanced Algorithms for Relativistic Fluids on a Schwarzschild Background.
J. Sci. Comput., 2021

Lax-Wendroff Approximate Taylor Methods with Fast and Optimized Weighted Essentially Non-oscillatory Reconstructions.
J. Sci. Comput., 2021

Multidimensional approximate Riemann solvers for hyperbolic nonconservative systems. Applications to shallow water systems.
J. Comput. Phys., 2021

Well-balanced high-order finite difference methods for systems of balance laws.
J. Comput. Phys., 2021

An order-adaptive compact approximation Taylor method for systems of conservation laws.
J. Comput. Phys., 2021

On the efficient implementation of PVM methods and simple Riemann solvers. Application to the Roe method for large hyperbolic systems.
Appl. Math. Comput., 2021

High-order well-balanced methods for systems of balance laws: a control-based approach.
Appl. Math. Comput., 2021

2020
Well-Balanced High-Order Finite Volume Methods for Systems of Balance Laws.
J. Sci. Comput., 2020

Well-balanced algorithms for relativistic fluids on a Schwarzschild background.
CoRR, 2020

2019
Compact Approximate Taylor Methods for Systems of Conservation Laws.
J. Sci. Comput., 2019

The Riemann problem for the shallow water equations with discontinuous topography: The wet-dry case.
J. Comput. Phys., 2019

2017
Entropy Stable Schemes for Degenerate Convection-Diffusion Equations.
SIAM J. Numer. Anal., 2017

2013
Entropy Conservative and Entropy Stable Schemes for Nonconservative Hyperbolic Systems.
SIAM J. Numer. Anal., 2013

Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties.
J. Comput. Phys., 2013

High order exactly well-balanced numerical methods for shallow water systems.
J. Comput. Phys., 2013

Reliability of first order numerical schemes for solving shallow water system over abrupt topography.
Appl. Math. Comput., 2013

2012
Central Schemes for Nonconservative Hyperbolic Systems.
SIAM J. Sci. Comput., 2012

2011
On the Convergence and Well-Balanced Property of Path-Conservative Numerical Schemes for Systems of Balance Laws.
J. Sci. Comput., 2011

A Duality Method for Sediment Transport Based on a Modified Meyer-Peter & Müller Model.
J. Sci. Comput., 2011

On an Intermediate Field Capturing Riemann Solver Based on a Parabolic Viscosity Matrix for the Two-Layer Shallow Water System.
J. Sci. Comput., 2011

Numerical Treatment of the Loss of Hyperbolicity of the Two-Layer Shallow-Water System.
J. Sci. Comput., 2011

Preface.
J. Sci. Comput., 2011

2010
On some fast well-balanced first order solvers for nonconservative systems.
Math. Comput., 2010

2009
High Order Extensions of Roe Schemes for Two-Dimensional Nonconservative Hyperbolic Systems.
J. Sci. Comput., 2009

2008
Finite Volume Simulation of the Geostrophic Adjustment in a Rotating Shallow-Water System.
SIAM J. Sci. Comput., 2008

Well-Balanced High Order Extensions of Godunov's Method for Semilinear Balance Laws.
SIAM J. Numer. Anal., 2008

Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes.
J. Comput. Phys., 2008

2007
On Well-Balanced Finite Volume Methods for Nonconservative Nonhomogeneous Hyperbolic Systems.
SIAM J. Sci. Comput., 2007

On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas.
J. Comput. Phys., 2007

Improved FVM for two-layer shallow-water models: Application to the Strait of Gibraltar.
Adv. Eng. Softw., 2007

2006
Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
SIAM J. Numer. Anal., 2006

High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems.
Math. Comput., 2006

2005
A generalized duality method for solving variational inequalities Applications to some nonlinear Dirichlet problems.
Numerische Mathematik, 2005

The numerical treatment of wet/dry fronts in shallow flows: application to one-layer and two-layer systems.
Math. Comput. Model., 2005

2002
On the convergence of the Bermúdez-Moreno algorithm with constant parameters.
Numerische Mathematik, 2002

2001
Duality methods with an automatic choice of parameters Application to shallow water equations in conservative form.
Numerische Mathematik, 2001

An incomplete LU-based family of preconditioners for numerical resolution of a shallow water system using a duality method--applications.
Appl. Math. Lett., 2001


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