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ORCIDManuel Jesús Castro Díaz
Manuel J. Castro
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- affiliation: Dpto. de Análisis Matemático, Universidad de Málaga, Málaga, Spain
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2020 – today
- 2024
[j62]Víctor González Tabernero
, Manuel J. Castro, José Antonio García-Rodríguez:
High-order well-balanced numerical schemes for one-dimensional shallow-water systems with Coriolis terms. Appl. Math. Comput. 469: 128528 (2024)- [j61]Emanuele Macca, Stavros Avgerinos, Manuel Jesús Castro Díaz, Giovanni Russo:
A semi-implicit finite volume method for the Exner model of sediment transport. J. Comput. Phys. 499: 112714 (2024) - [j60]Alessia Del Grosso, Manuel J. Castro, Agnes Chan, Gérard Gallice, Raphaël Loubère, Pierre-Henri Maire:
A well-balanced, positive, entropy-stable, and multi-dimensional-aware finite volume scheme for 2D shallow-water equations with unstructured grids. J. Comput. Phys. 503: 112829 (2024) - [j59]C. Caballero-Cárdenas, Manuel Jesús Castro Díaz, Christophe Chalons, Tomás Morales de Luna, María Luz Muñoz-Ruiz:
A Semi-Implicit Fully Exactly Well-Balanced Relaxation Scheme for the Shallow Water System. SIAM J. Sci. Comput. 46(4): 2503- (2024) - [j58]Víctor González Tabernero, José G. López-Salas, Manuel Jesús Castro Díaz, José Antonio García-Rodríguez:
Boundary Treatment for High-Order IMEX Runge-Kutta Local Discontinuous Galerkin Schemes for Multidimensional Nonlinear Parabolic PDEs. SIAM J. Sci. Comput. 46(5): 3282- (2024) - [i11]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 abs/2407.02931 (2024) - [i10]Ana Maria Ferreiro-Ferreiro, José Antonio García-Rodríguez, José G. López-Salas, Cipriano Escalante, Manuel Jesús Castro Díaz:
Global optimization for data assimilation in landslide tsunamis models. CoRR abs/2408.11819 (2024) - [i9]José G. López-Salas, M. Suárez-Taboada, Manuel Jesús Castro Díaz, Ana Maria Ferreiro-Ferreiro, José Antonio García-Rodríguez:
IMEX-RK finite volume methods for nonlinear 1d parabolic PDEs. Application to option pricing. CoRR abs/2409.01125 (2024) - [i8]José G. López-Salas, M. Suárez-Taboada, Manuel J. Castro, Ana Maria Ferreiro-Ferreiro, José Antonio García-Rodríguez:
Second order finite volume IMEX Runge-Kutta schemes for two dimensional parabolic PDEs in finance. CoRR abs/2409.01131 (2024) - [i7]José G. López-Salas, M. Suárez-Taboada, Manuel Jesús Castro Díaz, Ana Maria Ferreiro-Ferreiro, José Antonio García-Rodríguez:
A second order finite volume IMEX Runge-Kutta scheme for two dimensional PDEs in finance. CoRR abs/2410.02925 (2024) - [i6]Víctor González Tabernero, José G. López-Salas, Manuel Jesús Castro Díaz, José Antonio García-Rodríguez:
Boundary treatment for high-order IMEX Runge-Kutta local discontinuous Galerkin schemes for multidimensional nonlinear parabolic PDEs. CoRR abs/2410.02927 (2024) - 2023
- [j57]Alessia Del Grosso, Manuel Jesús Castro Díaz, Christophe Chalons, Tomás Morales de Luna:
On well-balanced implicit-explicit Lagrange-projection schemes for two-layer shallow water equations. Appl. Math. Comput. 442: 127702 (2023) - [j56]C. Caballero-Cárdenas, Manuel J. Castro, Tomás Morales de Luna, María Luz Muñoz-Ruiz:
Implicit and implicit-explicit Lagrange-projection finite volume schemes exactly well-balanced for 1D shallow water system. Appl. Math. Comput. 443: 127784 (2023) - [j55]Arnau Folch, Claudia Abril, Michael Afanasiev, Giorgio Amati, Michael Bader, Rosa M. Badia, Hafize B. Bayraktar, Sara Barsotti, Roberto Basili, Fabrizio Bernardi, Christian Boehm, Beatriz Brizuela, Federico Brogi, Eduardo Cabrera, Emanuele Casarotti, Manuel J. Castro, Matteo Cerminara, Antonella Cirella, Alexey Cheptsov, Javier Conejero, Antonio Costa, Marc de la Asunción, Josep de la Puente, Marco Djuric, Ravil Dorozhinskii, Gabriela Espinosa, Tomaso Esposti Ongaro, Joan Farnós, Nathalie Favretto-Cristini, Andreas Fichtner, Alexandre Fournier, Alice-Agnes Gabriel, Jean-Matthieu Gallard, Steven J. Gibbons, Sylfest Glimsdal, José Manuel González-Vida, José Gracia, Rose Gregorio, Natalia Gutiérrez, Benedikt Halldorsson, Okba Hamitou, Guillaume Houzeaux, Stephan Jaure, Mouloud Kessar, Lukas Krenz, Lion Krischer, Soline Laforet, Piero Lanucara, Bo Li, Maria Concetta Lorenzino, Stefano Lorito, Finn Løvholt, Giovanni Macedonio, Jorge Macías Sánchez, Guillermo Marin, Beatriz Martínez Montesinos, Leonardo Mingari, Geneviève Moguilny, Vadim Montellier, Marisol Monterrubio Velasco, Georges-Emmanuel Moulard, Masaru Nagaso, Massimo Nazaria, Christoph Niethammer, Federica Pardini, Marta Pienkowska, Luca Pizzimenti, Natalia Poiata, Leonhard Rannabauer, Otilio Rojas, Juan Esteban Rodriguez, Fabrizio Romano, Oleksandr Rudyy, Vittorio Ruggiero, Philipp Samfass, Carlos Sánchez-Linares, Sabrina Sanchez, Laura Sandri, Antonio Scala, Nathanaël Schaeffer, Joseph Schuchart, Jacopo Selva, Amadine Sergeant, Angela Stallone, Matteo Taroni, Solvi Thrastarson, Manuel Titos, Nadia Tonelllo, Roberto Tonini, Thomas Ulrich, Jean-Pierre Vilotte, Malte Vöge, Manuela Volpe, Sara Aniko Wirp, Uwe Wössner:
The EU Center of Excellence for Exascale in Solid Earth (ChEESE): Implementation, results, and roadmap for the second phase. Future Gener. Comput. Syst. 146: 47-61 (2023) - [j54]Christophe Berthon, Manuel Jesús Castro Díaz, Arnaud Duran, Tomás Morales de Luna, Khaled Saleh:
Artificial Viscosity to Get Both Robustness and Discrete Entropy Inequalities. J. Sci. Comput. 97(3) (2023) - 2022
- [j53]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: 111152 (2022) - [j52]Ernesto Guerrero Fernández, Manuel Jesús Castro Díaz, Michael Dumbser, Tomás Morales de Luna:
An Arbitrary High Order Well-Balanced ADER-DG Numerical Scheme for the Multilayer Shallow-Water Model with Variable Density. J. Sci. Comput. 90(1): 52 (2022) - [i5]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 abs/2208.14157 (2022) - 2021
- [j51]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: 125544 (2021) - [j50]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: 125820 (2021) - [j49]Cipriano Escalante, Manuel J. Castro, Matteo Semplice:
Very high order well-balanced schemes for non-prismatic one-dimensional channels with arbitrary shape. Appl. Math. Comput. 398: 125993 (2021) - [j48]José A. Carrillo, Manuel J. Castro, Serafim Kalliadasis, Sergio P. Perez:
High-Order Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations With Nonlocal Free Energy. SIAM J. Sci. Comput. 43(2): A828-A858 (2021) - [j47]Elena Gaburro, Manuel J. Castro, Michael Dumbser:
A Well Balanced Finite Volume Scheme for General Relativity. SIAM J. Sci. Comput. 43(6): B1226-B1251 (2021) - [i4]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 abs/2105.00424 (2021) - [i3]Elena Gaburro, Manuel J. Castro, Michael Dumbser:
A well balanced finite volume scheme for general relativity. CoRR abs/2108.02960 (2021) - 2020
- [j46]José M. Gallardo, Kleiton A. Schneider, Manuel J. Castro:
On a class of genuinely 2D incomplete Riemann solvers for hyperbolic systems. Comput. Math. Methods 2(1) (2020) - [j45]Ana Maria Ferreiro-Ferreiro, José Antonio García-Rodríguez, José G. López-Salas, Cipriano Escalante, Manuel J. Castro:
Global optimization for data assimilation in landslide tsunami models. J. Comput. Phys. 403 (2020) - [j44]Manuel J. Castro, Carlos Parés:
Well-Balanced High-Order Finite Volume Methods for Systems of Balance Laws. J. Sci. Comput. 82(2): 48 (2020) - [i2]José A. Carrillo, Manuel J. Castro, Serafim Kalliadasis, Sergio P. Perez:
High-order well-balanced finite volume schemes for hydrodynamic equations with nonlocal free energy. CoRR abs/2004.05341 (2020) - [i1]José Garres-Díaz, Manuel Jesús Castro Díaz, Julian Koellermeier, Tomás Morales de Luna:
Shallow Water Moment models for bedload transport problems. CoRR abs/2008.08449 (2020)
2010 – 2019
- 2019
- [j43]José M. Gallardo, Kleiton A. Schneider, Manuel J. Castro:
On a class of two-dimensional incomplete Riemann solvers. J. Comput. Phys. 386: 541-567 (2019) - [j42]Cipriano Escalante, Michael Dumbser, Manuel Jesús Castro Díaz:
An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes. J. Comput. Phys. 394: 385-416 (2019) - [j41]Cipriano Escalante, Enrique Domingo Fernández-Nieto, Tomás Morales de Luna, Manuel Jesús Castro Díaz:
An Efficient Two-Layer Non-hydrostatic Approach for Dispersive Water Waves. J. Sci. Comput. 79(1): 273-320 (2019) - 2018
- [j40]Cipriano Escalante, Tomás Morales de Luna, Manuel J. Castro:
Non-hydrostatic pressure shallow flows: GPU implementation using finite volume and finite difference scheme. Appl. Math. Comput. 338: 631-659 (2018) - [j39]Miguel Lastra, Manuel Jesús Castro Díaz, Carlos Ureña, Marc de la Asunción:
Efficient multilayer shallow-water simulation system based on GPUs. Math. Comput. Simul. 148: 48-65 (2018) - [j38]Manuel Jesús Castro Díaz, Christophe Chalons, Tomás Morales de Luna:
A Fully Well-Balanced Lagrange-Projection-Type Scheme for the Shallow-Water Equations. SIAM J. Numer. Anal. 56(5): 3071-3098 (2018) - 2017
- [j37]Manuel J. Castro, José M. Gallardo, Antonio Marquina:
Jacobian-free approximate solvers for hyperbolic systems: Application to relativistic magnetohydrodynamics. Comput. Phys. Commun. 219: 108-120 (2017) - [j36]Marc de la Asunción, Manuel Jesús Castro Díaz:
Simulation of tsunamis generated by landslides using adaptive mesh refinement on GPU. J. Comput. Phys. 345: 91-110 (2017) - 2016
- [j35]Marc de la Asunción, Manuel Jesús Castro Díaz, José Miguel Mantas, Sergio Ortega:
Numerical simulation of tsunamis generated by landslides on multiple GPUs. Adv. Eng. Softw. 99: 59-72 (2016) - [j34]Manuel J. Castro, José M. Gallardo, Antonio Marquina:
Approximate Osher-Solomon schemes for hyperbolic systems. Appl. Math. Comput. 272: 347-368 (2016) - [j33]Carlos Sánchez-Linares, Tomás Morales de Luna, Manuel Jesús Castro Díaz:
A HLLC scheme for Ripa model. Appl. Math. Comput. 272: 369-384 (2016) - 2014
- [j32]Manuel Jesús Castro Díaz, Enrique Domingo Fernández-Nieto, Remedios Gladis Narbona-Reina, Marc de la Asunción:
A second order PVM flux limiter method. Application to magnetohydrodynamics and shallow stratified flows. J. Comput. Phys. 262: 172-193 (2014) - [j31]Manuel J. Castro, José M. Gallardo, Antonio Marquina:
A Class of Incomplete Riemann Solvers Based on Uniform Rational Approximations to the Absolute Value Function. J. Sci. Comput. 60(2): 363-389 (2014) - 2013
- [j30]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): 9012-9032 (2013) - [j29]Moisés Viñas, Jacobo Lobeiras, Basilio B. Fraguela, Manuel Arenaz, Margarita Amor, José A. García, Manuel J. Castro, Ramon Doallo:
A multi-GPU shallow-water simulation with transport of contaminants. Concurr. Comput. Pract. Exp. 25(8): 1153-1169 (2013) - [j28]Jacobo Lobeiras, Moisés Viñas, Margarita Amor, Basilio B. Fraguela, Manuel Arenaz, José A. García, Manuel J. Castro:
Parallelization of shallow water simulations on current multi-threaded systems. Int. J. High Perform. Comput. Appl. 27(4): 493-512 (2013) - [j27]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: 242-264 (2013) - [j26]Manuel J. Castro, Ulrik S. Fjordholm, Siddhartha Mishra, Carlos Parés Madroñal:
Entropy Conservative and Entropy Stable Schemes for Nonconservative Hyperbolic Systems. SIAM J. Numer. Anal. 51(3): 1371-1391 (2013) - [j25]Carlos H. Gonzalez, Basilio B. Fraguela, Diego Andrade, José A. García, Manuel J. Castro:
Numerical simulation of pollutant transport in a shallow-water system on the Cell heterogeneous processor. J. Supercomput. 65(3): 1089-1103 (2013) - 2012
- [j24]Marc de la Asunción, José Miguel Mantas, Manuel Jesús Castro Díaz, Enrique Domingo Fernández-Nieto:
An MPI-CUDA implementation of an improved Roe method for two-layer shallow water systems. J. Parallel Distributed Comput. 72(9): 1065-1072 (2012) - [j23]Manuel Jesús Castro Díaz, Enrique Domingo Fernández-Nieto:
A Class of Computationally Fast First Order Finite Volume Solvers: PVM Methods. SIAM J. Sci. Comput. 34(4) (2012) - [j22]Manuel J. Castro, Carlos Parés, Gabriella Puppo, Giovanni Russo:
Central Schemes for Nonconservative Hyperbolic Systems. SIAM J. Sci. Comput. 34(5) (2012) - 2011
- [j21]Rémi Abgrall, Denise Aregba, Christophe Berthon, Manuel J. Castro, Carlos Parés:
Preface. J. Sci. Comput. 48(1-3): 1-2 (2011) - [j20]Manuel Jesús Castro Díaz, Enrique Domingo Fernández-Nieto, José Manuel González-Vida, Carlos Parés Madroñal:
Numerical Treatment of the Loss of Hyperbolicity of the Two-Layer Shallow-Water System. J. Sci. Comput. 48(1-3): 16-40 (2011) - [j19]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): 117-140 (2011) - [j18]Tomás Morales de Luna, Manuel Jesús Castro Díaz, Carlos Parés Madroñal:
A Duality Method for Sediment Transport Based on a Modified Meyer-Peter & Müller Model. J. Sci. Comput. 48(1-3): 258-273 (2011) - [j17]Marc de la Asunción, José Miguel Mantas, Manuel Jesús Castro Díaz:
Simulation of one-layer shallow water systems on multicore and CUDA architectures. J. Supercomput. 58(2): 206-214 (2011) - 2010
- [j16]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): 1427-1472 (2010) - [c1]Marc de la Asunción, José Miguel Mantas, Manuel Jesús Castro Díaz:
Programming CUDA-Based GPUs to Simulate Two-Layer Shallow Water Flows. Euro-Par (2) 2010: 353-364
2000 – 2009
- 2009
- [j15]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): 67-114 (2009) - [j14]Miguel Lastra, José Miguel Mantas, Carlos Ureña, Manuel Jesús Castro Díaz, José Antonio García-Rodríguez:
Simulation of shallow-water systems using graphics processing units. Math. Comput. Simul. 80(3): 598-618 (2009) - 2008
- [j13]Enrique Domingo Fernández-Nieto, François Bouchut, Didier Bresch, Manuel Jesús Castro Díaz, Anne Mangeney:
A new Savage-Hutter type model for submarine avalanches and generated tsunami. J. Comput. Phys. 227(16): 7720-7754 (2008) - [j12]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): 8107-8129 (2008) - [j11]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): 1012-1039 (2008) - [j10]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): 444-477 (2008) - 2007
- [j9]Manuel Jesús Castro Díaz, José Antonio García-Rodríguez, José Manuel 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): 386-398 (2007) - [j8]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): 574-601 (2007) - [j7]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): 1093-1126 (2007) - 2006
- [j6]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): 1103-1134 (2006) - 2005
- [j5]Manuel J. Castro, Ana M. Ferreiro, José Antonio García-Rodríguez, José Manuel 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): 419-439 (2005) - [j4]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): 259-291 (2005) - 2002
- [j3]Carlos Parés, Manuel J. Castro, Jorge Macías Sánchez:
On the convergence of the Bermúdez-Moreno algorithm with constant parameters. Numerische Mathematik 92(1): 113-128 (2002) - 2001
- [j2]Manuel Jesús Castro Díaz, Jorge Macías Sánchez, Carlos Parés Madroñal:
An incomplete LU-based family of preconditioners for numerical resolution of a shallow water system using a duality method--applications. Appl. Math. Lett. 14(5): 651-656 (2001) - [j1]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): 161-189 (2001)
Coauthor Index
Carlos Parés Madroñal
aka: Carlos Parés
aka: Carlos Parés
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