Carlos Parés Madroñal

According to our database1, Carlos Parés Madroñal authored at least 43 papers between 2001 and 2023.

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



In proceedings 
PhD thesis 


Online presence:



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

An almost fail-safe a-posteriori limited high-order CAT scheme.
CoRR, 2023

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

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

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

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

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

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

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

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

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

J. Sci. Comput., 2011

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

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

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

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

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

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

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

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