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ORCIDEleuterio F. Toro
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- affiliation: Laboratory of Applied Mathematics, University of Trento, Trento, Italy
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Journal Articles
- 2023
[j45]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: 127742 (2023)- [j44]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: 111869 (2023) - [j43]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: 112530 (2023) - 2022
- [j42]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: 126625 (2022) - [j41]Christophe Chalons, Alessia Del Grosso, Eleuterio F. Toro:
Numerical approximation and uncertainty quantification for arterial blood flow models with viscoelasticity. J. Comput. Phys. 457: 111071 (2022) - 2021
- [j40]Morena Celant, Eleuterio F. Toro, Lucas O. Müller:
Total Effective Vascular Compliance of a Global Mathematical Model for the Cardiovascular System. Symmetry 13(10): 1858 (2021) - 2020
- [j39]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: 109545 (2020) - [j38]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: 109750 (2020) - 2019
- [j37]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: 405-427 (2019) - 2018
- [j36]Francesca Bellamoli, Lucas O. Müller, Eleuterio F. Toro:
A numerical method for junctions in networks of shallow-water channels. Appl. Math. Comput. 337: 190-213 (2018) - [j35]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: 169-192 (2018) - 2017
- [j34]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: 21-39 (2017) - [j33]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: 178-189 (2017) - 2016
- [j32]Eleuterio F. Toro:
Brain venous haemodynamics, neurological diseases and mathematical modelling. A review. Appl. Math. Comput. 272: 542-579 (2016) - [j31]Dinshaw S. Balsara, Gino I. Montecinos, Eleuterio F. Toro:
Exploring various flux vector splittings for the magnetohydrodynamic system. J. Comput. Phys. 311: 1-21 (2016) - [j30]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: 409-433 (2016) - [j29]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: 1-20 (2016) - [j28]S. A. Tokareva, Eleuterio F. Toro:
A flux splitting method for the Baer-Nunziato equations of compressible two-phase flow. J. Comput. Phys. 323: 45-74 (2016) - [j27]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: 553-575 (2016) - 2015
- [j26]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: 80-94 (2015) - [j25]Eleuterio F. Toro, Gino I. Montecinos:
Implicit, semi-analytical solution of the generalized Riemann problem for stiff hyperbolic balance laws. J. Comput. Phys. 303: 146-172 (2015) - 2014
- [j24]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: 101-123 (2014) - [j23]Gino I. Montecinos, Eleuterio F. Toro:
Reformulations for general advection-diffusion-reaction equations and locally implicit ADER schemes. J. Comput. Phys. 275: 415-442 (2014) - [j22]Eleuterio F. Toro, Gino I. Montecinos:
Advection-Diffusion-Reaction Equations: Hyperbolization and High-Order ADER Discretizations. SIAM J. Sci. Comput. 36(5) (2014) - 2013
- [j21]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: 53-85 (2013) - [j20]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: 165-183 (2013) - [j19]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: 53-80 (2013) - 2012
- [j18]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): 6472-6494 (2012) - 2011
- [j17]Michael Dumbser, Eleuterio F. Toro:
A Simple Extension of the Osher Riemann Solver to Non-conservative Hyperbolic Systems. J. Sci. Comput. 48(1-3): 70-88 (2011) - 2010
- [j16]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): 3573-3604 (2010) - [j15]Guglielmo Stecca, Annunziato Siviglia, Eleuterio F. Toro:
Upwind-biased FORCE schemes with applications to free-surface shallow flows. J. Comput. Phys. 229(18): 6362-6380 (2010) - [j14]Evgeniy I. Romenski, Dimitris Drikakis, Eleuterio F. Toro:
Conservative Models and Numerical Methods for Compressible Two-Phase Flow. J. Sci. Comput. 42(1): 68-95 (2010) - [j13]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) - 2009
- [j12]Eleuterio F. Toro, Arturo Hidalgo, Michael Dumbser:
FORCE schemes on unstructured meshes I: Conservative hyperbolic systems. J. Comput. Phys. 228(9): 3368-3389 (2009) - 2008
- [j11]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): 2463-2480 (2008) - [j10]Cristóbal E. Castro, Eleuterio F. Toro:
Solvers for the high-order Riemann problem for hyperbolic balance laws. J. Comput. Phys. 227(4): 2481-2513 (2008) - [j9]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): 3212-3243 (2008) - [j8]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): 3971-4001 (2008) - [j7]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): 8209-8253 (2008) - 2007
- [j6]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): 204-243 (2007) - 2006
- [j5]Eleuterio F. Toro, Vladimir A. Titarev:
Derivative Riemann solvers for systems of conservation laws and ADER methods. J. Comput. Phys. 212(1): 150-165 (2006) - [j4]Eleuterio F. Toro, Vladimir A. Titarev:
MUSTA fluxes for systems of conservation laws. J. Comput. Phys. 216(2): 403-429 (2006) - 2005
- [j3]Eleuterio F. Toro, Vladimir A. Titarev:
TVD Fluxes for the High-Order ADER Schemes. J. Sci. Comput. 24(3): 285-309 (2005) - 2002
- [j2]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): 231-240 (2002) - [j1]Vladimir A. Titarev, Eleuterio F. Toro:
ADER: Arbitrary High Order Godunov Approach. J. Sci. Comput. 17(1-4): 609-618 (2002)
Informal and Other Publications
- 2023
- [i7]Saray Busto, Eleuterio F. Toro, María Elena Vázquez-Cendón:
Design and analysis of ADER-type schemes for model advection-diffusion-reaction equations. CoRR abs/2301.08473 (2023) - [i6]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 abs/2301.08483 (2023) - 2022
- [i5]Beatrice Ghitti, Eleuterio F. Toro, Lucas O. Müller:
Nonlinear lumped-parameter models for blood flow simulations in networks of vessels. CoRR abs/2201.01617 (2022) - 2021
- [i4]Annunziato Siviglia, Davide Vanzo, Eleuterio F. Toro:
A splitting scheme for the coupled Saint-Venant-Exner model. CoRR abs/2102.00852 (2021) - [i3]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 abs/2112.06902 (2021) - 2020
- [i2]Eleuterio F. Toro, Lucas O. Müller, Annunziato Siviglia:
Bounds for Wave Speeds in the Riemann Problem: Direct Theoretical Estimates. CoRR abs/2005.04898 (2020) - 2011
- [i1]Dante Kalise, Ivar Lie, Eleuterio F. Toro:
High-order finite volume schemes for layered atmospheric models. CoRR abs/1110.6834 (2011)
Coauthor Index
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