Eleuterio F. Toro

60 papers Journal 60

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	A generalized Riemann problem-based compact reconstruction method for finite volume schemes. CoRR Gino I. Montecinos, Eleuterio F. Toro, Lucas O. Müller
2025	J	`jnl`	Algorithms of very high space-time orders of accuracy for hyperbolic equations in the semidiscrete WENO-DeC framework. CoRR Lorenzo Micalizzi, Eleuterio F. Toro
2025	J	`jnl`	Algorithms of very high space-time orders of accuracy for hyperbolic equations in the semidiscrete WENO-DeC framework. J. Comput. Phys. Lorenzo Micalizzi, Eleuterio F. Toro
2025	J	`jnl`	FORCE-α Numerical Fluxes within the Arbitrary High Order Semidiscrete WENO-DeC Framework: A Competitive Alternative to Upwind Fluxes. CoRR Lorenzo Micalizzi, Eleuterio F. Toro
2025	J	`jnl`	High-Order Flux Splitting Schemes for the Euler Equations of Gas Dynamics. CoRR Shaoshuai Chu, Michael Herty, Eleuterio F. Toro
2025	J	`jnl`	On simple well-balanced semi-implicit and explicit numerical methods for blood flow in networks of elastic vessels with applications to FFR prediction. J. Comput. Phys. Alessia Lucca, Lucas O. Müller, Luigi Fraccarollo, Eleuterio F. Toro, Michael Dumbser
2024	J	`jnl`	Impact of Numerical Fluxes on High Order Semidiscrete WENO-DeC Finite Volume Schemes. CoRR Lorenzo Micalizzi, Eleuterio F. Toro
2024	J	`jnl`	Rusanov-type Schemes for Hyperbolic Equations: Wave-Speed Estimates, Monotonicity and Stability. CoRR Eleuterio F. Toro, S. A. Tokareva
2023	J	`jnl`	A projection hybrid high order finite volume/finite element method for incompressible turbulent flows. CoRR Saray Busto, Jose Luis Ferrín, Eleuterio F. Toro, María Elena Vázquez-Cendón
2023	J	`jnl`	A semi-implicit finite volume scheme for blood flow in elastic and viscoelastic vessels. J. Comput. Phys. Alessia Lucca, Saray Busto, Lucas O. Müller, Eleuterio F. Toro, Michael Dumbser
2023	J	`jnl`	Design and analysis of ADER-type schemes for model advection-diffusion-reaction equations. CoRR Saray Busto, Eleuterio F. Toro, María Elena Vázquez-Cendón
2023	J	`jnl`	ENO-ET: a reconstruction scheme based on extended ENO stencil and truncated highest-order term. Appl. Math. Comput. Gino I. Montecinos, Eleuterio F. Toro
2023	J	`jnl`	High-order fully well-balanced numerical methods for one-dimensional blood flow with discontinuous properties. J. Comput. Phys. Ernesto Pimentel-García, Lucas O. Müller, Eleuterio F. Toro, Carlos Parés
2022	J	`jnl`	Nonlinear lumped-parameter models for blood flow simulations in networks of vessels. CoRR Beatrice Ghitti, Eleuterio F. Toro, Lucas O. Müller
2022	J	`jnl`	Numerical approximation and uncertainty quantification for arterial blood flow models with viscoelasticity. J. Comput. Phys. Christophe Chalons, Alessia Del Grosso, Eleuterio F. Toro
2022	J	`jnl`	On well-posedness of a mathematical model for cerebrospinal fluid in the optic nerve sheath and the spinal subarachnoid space. Appl. Math. Comput. Alessia Scoz, Laura Bertazzi, Eleuterio F. Toro
2021	J	`jnl`	A flux-vector splitting scheme for the shallow water equations extended to high-order on unstructured meshes. CoRR Eleuterio F. Toro, Cristóbal E. Castro, Davide Vanzo, Annunziato Siviglia
2021	J	`jnl`	A splitting scheme for the coupled Saint-Venant-Exner model. CoRR Annunziato Siviglia, Davide Vanzo, Eleuterio F. Toro
2021	J	`jnl`	Total Effective Vascular Compliance of a Global Mathematical Model for the Cardiovascular System. Symmetry Morena Celant, Eleuterio F. Toro, Lucas O. Müller
2020	J	`jnl`	A fully well-balanced scheme for the 1D blood flow equations with friction source term. J. Comput. Phys. Beatrice Ghitti, Christophe Berthon, Minh Hoang Le, Eleuterio F. Toro
2020	J	`jnl`	Bounds for Wave Speeds in the Riemann Problem: Direct Theoretical Estimates. CoRR Eleuterio F. Toro, Lucas O. Müller, Annunziato Siviglia
2020	J	`jnl`	Low-dissipation centred schemes for hyperbolic equations in conservative and non-conservative form. J. Comput. Phys. Eleuterio F. Toro, B. Saggiorato, Svetlana V. Tokareva, Arturo Hidalgo
2019	J	`jnl`	Uncertainty quantification methodology for hyperbolic systems with application to blood flow in arteries. J. Comput. Phys. Marco Petrella, S. A. Tokareva, Eleuterio F. Toro
2018	J	`jnl`	A numerical method for junctions in networks of shallow-water channels. Appl. Math. Comput. Francesca Bellamoli, Lucas O. Müller, Eleuterio F. Toro
2018	J	`jnl`	A projection hybrid high order finite volume/finite element method for incompressible turbulent flows. J. Comput. Phys. Saray Busto, Jose Luis Ferrín, Eleuterio F. Toro, M. Elena Vázquez-Cendón
2017	J	`jnl`	A global mathematical model for the simulation of stenoses and bypass placement in the human arterial system. Appl. Math. Comput. M. Strocchi, Christian Contarino, Q. Zhang, R. Bonmassari, Eleuterio F. Toro
2017	J	`jnl`	On the exact solution of the Riemann problem for blood flow in human veins, including collapse. Appl. Math. Comput. C. Spiller, Eleuterio F. Toro, M. Elena Vázquez-Cendón, Christian Contarino
2016	J	`jnl`	A flux splitting method for the Baer-Nunziato equations of compressible two-phase flow. J. Comput. Phys. S. A. Tokareva, Eleuterio F. Toro
2016	J	`jnl`	Brain venous haemodynamics, neurological diseases and mathematical modelling. A review. Appl. Math. Comput. Eleuterio F. Toro
2016	J	`jnl`	Design and analysis of ADER-type schemes for model advection-diffusion-reaction equations. J. Comput. Phys. Saray Busto, Eleuterio F. Toro, M. Elena Vázquez-Cendón
2016	J	`jnl`	Exploring various flux vector splittings for the magnetohydrodynamic system. J. Comput. Phys. Dinshaw S. Balsara, Gino I. Montecinos, Eleuterio F. Toro
2016	J	`jnl`	Junction-Generalized Riemann Problem for stiff hyperbolic balance laws in networks: An implicit solver and ADER schemes. J. Comput. Phys. Christian Contarino, Eleuterio F. Toro, Gino I. Montecinos, Raul Borsche, Jochen Kall
2016	J	`jnl`	Pollutant transport by shallow water equations on unstructured meshes: Hyperbolization of the model and numerical solution via a novel flux splitting scheme. J. Comput. Phys. Davide Vanzo, Annunziato Siviglia, Eleuterio F. Toro
2015	J	`jnl`	A novel numerical flux for the 3D Euler equations with general equation of state. J. Comput. Phys. Eleuterio F. Toro, Cristóbal E. Castro, Bok Jik Lee
2015	J	`jnl`	Implicit, semi-analytical solution of the generalized Riemann problem for stiff hyperbolic balance laws. J. Comput. Phys. Eleuterio F. Toro, Gino I. Montecinos
2014	J	`jnl`	Advection-Diffusion-Reaction Equations: Hyperbolization and High-Order ADER Discretizations. SIAM J. Sci. Comput. Eleuterio F. Toro, Gino I. Montecinos
2014	J	`jnl`	Hyperbolic reformulation of a 1D viscoelastic blood flow model and ADER finite volume schemes. J. Comput. Phys. Gino I. Montecinos, Lucas O. Müller, Eleuterio F. Toro
2014	J	`jnl`	Reformulations for general advection-diffusion-reaction equations and locally implicit ADER schemes. J. Comput. Phys. Gino I. Montecinos, Eleuterio F. Toro
2013	J	`jnl`	A sub-cell WENO reconstruction method for spatial derivatives in the ADER scheme. J. Comput. Phys. Jun Bo Cheng, Eleuterio F. Toro, Song Jiang, Weijun Tang
2013	J	`jnl`	Adaptive Osher-type scheme for the Euler equations with highly nonlinear equations of state. J. Comput. Phys. Bok Jik Lee, Eleuterio F. Toro, Cristóbal E. Castro, Nikolaos Nikiforakis
2013	J	`jnl`	Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties. J. Comput. Phys. Lucas O. Müller, Carlos Parés, Eleuterio F. Toro
2012	J	`jnl`	Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms. J. Comput. Phys. Gino I. Montecinos, Cristóbal E. Castro, Michael Dumbser, Eleuterio F. Toro
2011	J	`jnl`	A Simple Extension of the Osher Riemann Solver to Non-conservative Hyperbolic Systems. J. Sci. Comput. Michael Dumbser, Eleuterio F. Toro
2011	J	`jnl`	High-order finite volume schemes for layered atmospheric models CoRR Dante Kalise, Ivar Lie, Eleuterio F. Toro
2010	J	`jnl`	Conservative Models and Numerical Methods for Compressible Two-Phase Flow. J. Sci. Comput. Evgeniy I. Romenski, Dimitris Drikakis, Eleuterio F. Toro
2010	J	`jnl`	HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow. J. Comput. Phys. S. A. Tokareva, Eleuterio F. Toro
2010	J	`jnl`	On some fast well-balanced first order solvers for nonconservative systems. Math. Comput. Manuel J. Castro, Alberto Pardo, Carlos Parés, Eleuterio F. Toro
2010	J	`jnl`	Upwind-biased FORCE schemes with applications to free-surface shallow flows. J. Comput. Phys. Guglielmo Stecca, Annunziato Siviglia, Eleuterio F. Toro
2009	J	`jnl`	FORCE schemes on unstructured meshes I: Conservative hyperbolic systems. J. Comput. Phys. Eleuterio F. Toro, Arturo Hidalgo, Michael Dumbser
2008	J	`jnl`	A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes. J. Comput. Phys. Michael Dumbser, Dinshaw S. Balsara, Eleuterio F. Toro, Claus-Dieter Munz
2008	J	`jnl`	ADER schemes for the shallow water equations in channel with irregular bottom elevation. J. Comput. Phys. Gianluca Vignoli, Vladimir A. Titarev, Eleuterio F. Toro
2008	J	`jnl`	Exact solution of the Riemann problem for the shallow water equations with discontinuous bottom geometry. J. Comput. Phys. Roberto Bernetti, Vladimir A. Titarev, Eleuterio F. Toro
2008	J	`jnl`	Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws. J. Comput. Phys. Michael Dumbser, Cedric Enaux, Eleuterio F. Toro
2008	J	`jnl`	Solvers for the high-order Riemann problem for hyperbolic balance laws. J. Comput. Phys. Cristóbal E. Castro, Eleuterio F. Toro
2007	J	`jnl`	Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems. J. Comput. Phys. Michael Dumbser, Martin Käser, Vladimir A. Titarev, Eleuterio F. Toro
2006	J	`jnl`	Derivative Riemann solvers for systems of conservation laws and ADER methods. J. Comput. Phys. Eleuterio F. Toro, Vladimir A. Titarev
2006	J	`jnl`	MUSTA fluxes for systems of conservation laws. J. Comput. Phys. Eleuterio F. Toro, Vladimir A. Titarev
2005	J	`jnl`	TVD Fluxes for the High-Order ADER Schemes. J. Sci. Comput. Eleuterio F. Toro, Vladimir A. Titarev
2002	J	`jnl`	ADER: A High-Order Approach for Linear Hyperbolic Systems in 2D. J. Sci. Comput. T. Schwartzkopff, Claus-Dieter Munz, Eleuterio F. Toro
2002	J	`jnl`	ADER: Arbitrary High Order Godunov Approach. J. Sci. Comput. Vladimir A. Titarev, Eleuterio F. Toro