Manuel Jesús Castro Díaz
Orcid: 0000-0003-3164-7715Affiliations:
- Dpto. de Análisis Matemático, Universidad de Málaga, Málaga, Spain
According to our database1,
Manuel Jesús Castro Díaz
authored at least 70 papers
between 2001 and 2024.
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Bibliography
2024
High-order well-balanced numerical schemes for one-dimensional shallow-water systems with Coriolis terms.
Appl. Math. Comput., May, 2024
J. Comput. Phys., February, 2024
Boundary Treatment for High-Order IMEX Runge-Kutta Local Discontinuous Galerkin Schemes for Multidimensional Nonlinear Parabolic PDEs.
SIAM J. Sci. Comput., 2024
A Semi-Implicit Fully Exactly Well-Balanced Relaxation Scheme for the Shallow Water System.
SIAM J. Sci. Comput., 2024
A well-balanced, positive, entropy-stable, and multi-dimensional-aware finite volume scheme for 2D shallow-water equations with unstructured grids.
J. Comput. Phys., 2024
A second order finite volume IMEX Runge-Kutta scheme for two dimensional PDEs in finance.
CoRR, 2024
Second order finite volume IMEX Runge-Kutta schemes for two dimensional parabolic PDEs in finance.
CoRR, 2024
IMEX-RK finite volume methods for nonlinear 1d parabolic PDEs. Application to option pricing.
CoRR, 2024
High-order In-cell Discontinuous Reconstruction path-conservative methods for nonconservative hyperbolic systems - DR.MOOD generalization.
CoRR, 2024
2023
J. Sci. Comput., December, 2023
The EU Center of Excellence for Exascale in Solid Earth (ChEESE): Implementation, results, and roadmap for the second phase.
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
2022
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
2021
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
2020
J. Sci. Comput., 2020
J. Comput. Phys., 2020
Comput. Math. Methods, 2020
2019
J. Sci. Comput., 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
2018
A Fully Well-Balanced Lagrange-Projection-Type Scheme for the Shallow-Water Equations.
SIAM J. Numer. Anal., 2018
Math. Comput. Simul., 2018
Non-hydrostatic pressure shallow flows: GPU implementation using finite volume and finite difference scheme.
Appl. Math. Comput., 2018
2017
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
2016
Adv. Eng. Softw., 2016
2014
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
2013
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
J. Comput. Phys., 2013
Int. J. High Perform. Comput. Appl., 2013
Concurr. Comput. Pract. Exp., 2013
Reliability of first order numerical schemes for solving shallow water system over abrupt topography.
Appl. Math. Comput., 2013
2012
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
2011
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
2010
Math. Comput., 2010
Proceedings of the Euro-Par 2010 - Parallel Processing, 16th International Euro-Par Conference, Ischia, Italy, August 31, 2010
2009
Math. Comput. Simul., 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
SIAM J. Numer. Anal., 2008
J. Comput. Phys., 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
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
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