Manuel Jesús Castro Díaz

  • Dpto. de Análisis Matemático, Universidad de Málaga, Málaga, Spain

According to our database1, Manuel Jesús Castro Díaz authored at least 59 papers between 2001 and 2023.

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



In proceedings 
PhD thesis 


Online presence:



The EU Center of Excellence for Exascale in Solid Earth (ChEESE): Implementation, results, and roadmap for the second phase.
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Future Gener. Comput. Syst., 2023

On well-balanced implicit-explicit Lagrange-projection schemes for two-layer shallow water equations.
Appl. Math. Comput., 2023

Implicit and implicit-explicit Lagrange-projection finite volume schemes exactly well-balanced for 1D shallow water system.
Appl. Math. Comput., 2023

An Arbitrary High Order Well-Balanced ADER-DG Numerical Scheme for the Multilayer Shallow-Water Model with Variable Density.
J. Sci. Comput., 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

A Well Balanced Finite Volume Scheme for General Relativity.
SIAM J. Sci. Comput., 2021

High-Order Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations With Nonlocal Free Energy.
SIAM J. Sci. Comput., 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

Very high order well-balanced schemes for non-prismatic one-dimensional channels with arbitrary shape.
Appl. Math. Comput., 2021

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

Global optimization for data assimilation in landslide tsunami models.
J. Comput. Phys., 2020

Shallow Water Moment models for bedload transport problems.
CoRR, 2020

On a class of genuinely 2D incomplete Riemann solvers for hyperbolic systems.
Comput. Math. Methods, 2020

An Efficient Two-Layer Non-hydrostatic Approach for Dispersive Water Waves.
J. Sci. Comput., 2019

On a class of two-dimensional incomplete Riemann solvers.
J. Comput. Phys., 2019

An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes.
J. Comput. Phys., 2019

A Fully Well-Balanced Lagrange-Projection-Type Scheme for the Shallow-Water Equations.
SIAM J. Numer. Anal., 2018

Efficient multilayer shallow-water simulation system based on GPUs.
Math. Comput. Simul., 2018

Non-hydrostatic pressure shallow flows: GPU implementation using finite volume and finite difference scheme.
Appl. Math. Comput., 2018

Simulation of tsunamis generated by landslides using adaptive mesh refinement on GPU.
J. Comput. Phys., 2017

Jacobian-free approximate solvers for hyperbolic systems: Application to relativistic magnetohydrodynamics.
Comput. Phys. Commun., 2017

A HLLC scheme for Ripa model.
Appl. Math. Comput., 2016

Approximate Osher-Solomon schemes for hyperbolic systems.
Appl. Math. Comput., 2016

Numerical simulation of tsunamis generated by landslides on multiple GPUs.
Adv. Eng. Softw., 2016

A Class of Incomplete Riemann Solvers Based on Uniform Rational Approximations to the Absolute Value Function.
J. Sci. Comput., 2014

A second order PVM flux limiter method. Application to magnetohydrodynamics and shallow stratified flows.
J. Comput. Phys., 2014

Numerical simulation of pollutant transport in a shallow-water system on the Cell heterogeneous processor.
J. Supercomput., 2013

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

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

Parallelization of shallow water simulations on current multi-threaded systems.
Int. J. High Perform. Comput. Appl., 2013

A multi-GPU shallow-water simulation with transport of contaminants.
Concurr. Comput. Pract. Exp., 2013

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

A Class of Computationally Fast First Order Finite Volume Solvers: PVM Methods.
SIAM J. Sci. Comput., 2012

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

An MPI-CUDA implementation of an improved Roe method for two-layer shallow water systems.
J. Parallel Distributed Comput., 2012

Simulation of one-layer shallow water systems on multicore and CUDA architectures.
J. Supercomput., 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

Programming CUDA-Based GPUs to Simulate Two-Layer Shallow Water Flows.
Proceedings of the Euro-Par 2010 - Parallel Processing, 16th International Euro-Par Conference, Ischia, Italy, August 31, 2010

Simulation of shallow-water systems using graphics processing units.
Math. Comput. Simul., 2009

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

A new Savage-Hutter type model for submarine avalanches and generated tsunami.
J. Comput. Phys., 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

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