Eleuterio F. Toro

Publication Activity (10 Years)

Years Active: 2002-2023
Publications (10 Years): 25

Top Topics

Cerebrospinal Fluid

Top Venues

J. Comput. Phys.

Appl. Math. Comput.

Publications

Alessia Lucca, Saray Busto, Lucas O. Müller, Eleuterio F. Toro, Michael Dumbser
A semi-implicit finite volume scheme for blood flow in elastic and viscoelastic vessels. J. Comput. Phys. 495 (2023)
Ernesto Pimentel-García, Lucas O. Müller, Eleuterio F. Toro, Carlos Parés
High-order fully well-balanced numerical methods for one-dimensional blood flow with discontinuous properties. J. Comput. Phys. 475 (2023)
Gino I. Montecinos, Eleuterio F. Toro
ENO-ET: a reconstruction scheme based on extended ENO stencil and truncated highest-order term. Appl. Math. Comput. 442 (2023)
Saray Busto, Jose Luis Ferrín, Eleuterio F. Toro, María Elena Vázquez-Cendón
A projection hybrid high order finite volume/finite element method for incompressible turbulent flows. CoRR (2023)
Saray Busto, Eleuterio F. Toro, Maréa Elena Vázquez-Cendón
Design and analysis of ADER-type schemes for model advection-diffusion-reaction equations. CoRR (2023)
Christophe Chalons, Alessia Del Grosso, Eleuterio F. Toro
Numerical approximation and uncertainty quantification for arterial blood flow models with viscoelasticity. J. Comput. Phys. 457 (2022)
Beatrice Ghitti, Eleuterio F. Toro, Lucas O. Müller
Nonlinear lumped-parameter models for blood flow simulations in networks of vessels. CoRR (2022)
Alessia Scoz, Laura Bertazzi, Eleuterio F. Toro
On well-posedness of a mathematical model for cerebrospinal fluid in the optic nerve sheath and the spinal subarachnoid space. Appl. Math. Comput. 413 (2022)
Eleuterio F. Toro, Cristóbal E. Castro, Davide Vanzo, Annunziato Siviglia
A flux-vector splitting scheme for the shallow water equations extended to high-order on unstructured meshes. CoRR (2021)
Annunziato Siviglia, Davide Vanzo, Eleuterio F. Toro
A splitting scheme for the coupled Saint-Venant-Exner model. CoRR (2021)
Morena Celant, Eleuterio F. Toro, Lucas O. Müller
Total Effective Vascular Compliance of a Global Mathematical Model for the Cardiovascular System. Symmetry 13 (10) (2021)
Eleuterio F. Toro, B. Saggiorato, Svetlana V. Tokareva, Arturo Hidalgo
Low-dissipation centred schemes for hyperbolic equations in conservative and non-conservative form. J. Comput. Phys. 416 (2020)
Beatrice Ghitti, Christophe Berthon, Minh Hoang Le, Eleuterio F. Toro
A fully well-balanced scheme for the 1D blood flow equations with friction source term. J. Comput. Phys. 421 (2020)
Eleuterio F. Toro, Lucas O. Müller, Annunziato Siviglia
Bounds for Wave Speeds in the Riemann Problem: Direct Theoretical Estimates. CoRR (2020)
Marco Petrella, S. A. Tokareva, Eleuterio F. Toro
Uncertainty quantification methodology for hyperbolic systems with application to blood flow in arteries. J. Comput. Phys. 386 (2019)
Saray Busto, Jose Luis Ferrín, Eleuterio F. Toro, M. Elena Vázquez-Cendón
A projection hybrid high order finite volume/finite element method for incompressible turbulent flows. J. Comput. Phys. 353 (2018)
Francesca Bellamoli, Lucas O. Müller, Eleuterio F. Toro
A numerical method for junctions in networks of shallow-water channels. Appl. Math. Comput. 337 (2018)
M. Strocchi, Christian Contarino, Q. Zhang, R. Bonmassari, Eleuterio F. Toro
A global mathematical model for the simulation of stenoses and bypass placement in the human arterial system. Appl. Math. Comput. 300 (2017)
C. Spiller, Eleuterio F. Toro, M. Elena Vázquez-Cendón, Christian Contarino
On the exact solution of the Riemann problem for blood flow in human veins, including collapse. Appl. Math. Comput. 303 (2017)
S. A. Tokareva, Eleuterio F. Toro
A flux splitting method for the Baer-Nunziato equations of compressible two-phase flow. J. Comput. Phys. 323 (2016)
Christian Contarino, Eleuterio F. Toro, Gino I. Montecinos, Raul Borsche, Jochen Kall
Junction-Generalized Riemann Problem for stiff hyperbolic balance laws in networks: An implicit solver and ADER schemes. J. Comput. Phys. 315 (2016)
Saray Busto, Eleuterio F. Toro, M. Elena Vázquez-Cendón
Design and analysis of ADER-type schemes for model advection-diffusion-reaction equations. J. Comput. Phys. 327 (2016)
Eleuterio F. Toro
Brain venous haemodynamics, neurological diseases and mathematical modelling. A review. Appl. Math. Comput. 272 (2016)
Dinshaw S. Balsara, Gino I. Montecinos, Eleuterio F. Toro
Exploring various flux vector splittings for the magnetohydrodynamic system. J. Comput. Phys. 311 (2016)
Davide Vanzo, Annunziato Siviglia, Eleuterio F. Toro
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. 321 (2016)
Eleuterio F. Toro, Cristóbal E. Castro, Bok Jik Lee
A novel numerical flux for the 3D Euler equations with general equation of state. J. Comput. Phys. 303 (2015)
Eleuterio F. Toro, Gino I. Montecinos
Implicit, semi-analytical solution of the generalized Riemann problem for stiff hyperbolic balance laws. J. Comput. Phys. 303 (2015)
Eleuterio F. Toro, Gino I. Montecinos
Advection-Diffusion-Reaction Equations: Hyperbolization and High-Order ADER Discretizations. SIAM J. Sci. Comput. 36 (5) (2014)
Gino I. Montecinos, Lucas O. Müller, Eleuterio F. Toro
Hyperbolic reformulation of a 1D viscoelastic blood flow model and ADER finite volume schemes. J. Comput. Phys. 266 (2014)
Gino I. Montecinos, Eleuterio F. Toro
Reformulations for general advection-diffusion-reaction equations and locally implicit ADER schemes. J. Comput. Phys. 275 (2014)
Jun Bo Cheng, Eleuterio F. Toro, Song Jiang, Weijun Tang
A sub-cell WENO reconstruction method for spatial derivatives in the ADER scheme. J. Comput. Phys. 251 (2013)
Bok Jik Lee, Eleuterio F. Toro, Cristóbal E. Castro, Nikolaos Nikiforakis
Adaptive Osher-type scheme for the Euler equations with highly nonlinear equations of state. J. Comput. Phys. 246 (2013)
Lucas O. Müller, Carlos Parés, Eleuterio F. Toro
Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties. J. Comput. Phys. 242 (2013)
Gino I. Montecinos, Cristóbal E. Castro, Michael Dumbser, Eleuterio F. Toro
Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms. J. Comput. Phys. 231 (19) (2012)
Dante Kalise, Ivar Lie, Eleuterio F. Toro
High-order finite volume schemes for layered atmospheric models CoRR (2011)
Michael Dumbser, Eleuterio F. Toro
A Simple Extension of the Osher Riemann Solver to Non-conservative Hyperbolic Systems. J. Sci. Comput. 48 (1-3) (2011)
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) (2010)
Evgeniy I. Romenski, Dimitris Drikakis, Eleuterio F. Toro
Conservative Models and Numerical Methods for Compressible Two-Phase Flow. J. Sci. Comput. 42 (1) (2010)
Guglielmo Stecca, Annunziato Siviglia, Eleuterio F. Toro
Upwind-biased FORCE schemes with applications to free-surface shallow flows. J. Comput. Phys. 229 (18) (2010)
S. A. Tokareva, Eleuterio F. Toro
HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow. J. Comput. Phys. 229 (10) (2010)
Eleuterio F. Toro, Arturo Hidalgo, Michael Dumbser
FORCE schemes on unstructured meshes I: Conservative hyperbolic systems. J. Comput. Phys. 228 (9) (2009)
Gianluca Vignoli, Vladimir A. Titarev, Eleuterio F. Toro
ADER schemes for the shallow water equations in channel with irregular bottom elevation. J. Comput. Phys. 227 (4) (2008)
Roberto Bernetti, Vladimir A. Titarev, Eleuterio F. Toro
Exact solution of the Riemann problem for the shallow water equations with discontinuous bottom geometry. J. Comput. Phys. 227 (6) (2008)
Michael Dumbser, Dinshaw S. Balsara, Eleuterio F. Toro, Claus-Dieter Munz
A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes. J. Comput. Phys. 227 (18) (2008)
Michael Dumbser, Cedric Enaux, Eleuterio F. Toro
Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws. J. Comput. Phys. 227 (8) (2008)
Cristóbal E. Castro, Eleuterio F. Toro
Solvers for the high-order Riemann problem for hyperbolic balance laws. J. Comput. Phys. 227 (4) (2008)
Michael Dumbser, Martin Käser, Vladimir A. Titarev, Eleuterio F. Toro
Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems. J. Comput. Phys. 226 (1) (2007)
Eleuterio F. Toro, Vladimir A. Titarev
MUSTA fluxes for systems of conservation laws. J. Comput. Phys. 216 (2) (2006)
Eleuterio F. Toro, Vladimir A. Titarev
Derivative Riemann solvers for systems of conservation laws and ADER methods. J. Comput. Phys. 212 (1) (2006)
Eleuterio F. Toro, Vladimir A. Titarev
TVD Fluxes for the High-Order ADER Schemes. J. Sci. Comput. 24 (3) (2005)
T. Schwartzkopff, Claus-Dieter Munz, Eleuterio F. Toro
ADER: A High-Order Approach for Linear Hyperbolic Systems in 2D. J. Sci. Comput. 17 (1-4) (2002)
Vladimir A. Titarev, Eleuterio F. Toro
ADER: Arbitrary High Order Godunov Approach. J. Sci. Comput. 17 (1-4) (2002)