Eleuterio F. Toro

Orcid: 0000-0002-9347-7574

Affiliations:
  • Laboratory of Applied Mathematics, University of Trento, Trento, Italy


According to our database1, Eleuterio F. Toro authored at least 50 papers between 2002 and 2023.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

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Bibliography

2023
A semi-implicit finite volume scheme for blood flow in elastic and viscoelastic vessels.
J. Comput. Phys., December, 2023

High-order fully well-balanced numerical methods for one-dimensional blood flow with discontinuous properties.
J. Comput. Phys., February, 2023

ENO-ET: a reconstruction scheme based on extended ENO stencil and truncated highest-order term.
Appl. Math. Comput., 2023

2022
Numerical approximation and uncertainty quantification for arterial blood flow models with viscoelasticity.
J. Comput. Phys., 2022

Nonlinear lumped-parameter models for blood flow simulations in networks of vessels.
CoRR, 2022

On well-posedness of a mathematical model for cerebrospinal fluid in the optic nerve sheath and the spinal subarachnoid space.
Appl. Math. Comput., 2022

2021
Total Effective Vascular Compliance of a Global Mathematical Model for the Cardiovascular System.
Symmetry, 2021

A flux-vector splitting scheme for the shallow water equations extended to high-order on unstructured meshes.
CoRR, 2021

A splitting scheme for the coupled Saint-Venant-Exner model.
CoRR, 2021

2020
Low-dissipation centred schemes for hyperbolic equations in conservative and non-conservative form.
J. Comput. Phys., 2020

A fully well-balanced scheme for the 1D blood flow equations with friction source term.
J. Comput. Phys., 2020

Bounds for Wave Speeds in the Riemann Problem: Direct Theoretical Estimates.
CoRR, 2020

2019
Uncertainty quantification methodology for hyperbolic systems with application to blood flow in arteries.
J. Comput. Phys., 2019

2018
A projection hybrid high order finite volume/finite element method for incompressible turbulent flows.
J. Comput. Phys., 2018

A numerical method for junctions in networks of shallow-water channels.
Appl. Math. Comput., 2018

2017
A global mathematical model for the simulation of stenoses and bypass placement in the human arterial system.
Appl. Math. Comput., 2017

On the exact solution of the Riemann problem for blood flow in human veins, including collapse.
Appl. Math. Comput., 2017

2016
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., 2016

A flux splitting method for the Baer-Nunziato equations of compressible two-phase flow.
J. Comput. Phys., 2016

Junction-Generalized Riemann Problem for stiff hyperbolic balance laws in networks: An implicit solver and ADER schemes.
J. Comput. Phys., 2016

Design and analysis of ADER-type schemes for model advection-diffusion-reaction equations.
J. Comput. Phys., 2016

Exploring various flux vector splittings for the magnetohydrodynamic system.
J. Comput. Phys., 2016

Brain venous haemodynamics, neurological diseases and mathematical modelling. A review.
Appl. Math. Comput., 2016

2015
Implicit, semi-analytical solution of the generalized Riemann problem for stiff hyperbolic balance laws.
J. Comput. Phys., 2015

A novel numerical flux for the 3D Euler equations with general equation of state.
J. Comput. Phys., 2015

2014
Advection-Diffusion-Reaction Equations: Hyperbolization and High-Order ADER Discretizations.
SIAM J. Sci. Comput., 2014

Reformulations for general advection-diffusion-reaction equations and locally implicit ADER schemes.
J. Comput. Phys., 2014

Hyperbolic reformulation of a 1D viscoelastic blood flow model and ADER finite volume schemes.
J. Comput. Phys., 2014

2013
Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties.
J. Comput. Phys., 2013

Adaptive Osher-type scheme for the Euler equations with highly nonlinear equations of state.
J. Comput. Phys., 2013

A sub-cell WENO reconstruction method for spatial derivatives in the ADER scheme.
J. Comput. Phys., 2013

2012
Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms.
J. Comput. Phys., 2012

2011
A Simple Extension of the Osher Riemann Solver to Non-conservative Hyperbolic Systems.
J. Sci. Comput., 2011

High-order finite volume schemes for layered atmospheric models
CoRR, 2011

2010
On some fast well-balanced first order solvers for nonconservative systems.
Math. Comput., 2010

Conservative Models and Numerical Methods for Compressible Two-Phase Flow.
J. Sci. Comput., 2010

HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow.
J. Comput. Phys., 2010

Upwind-biased FORCE schemes with applications to free-surface shallow flows.
J. Comput. Phys., 2010

2009
FORCE schemes on unstructured meshes I: Conservative hyperbolic systems.
J. Comput. Phys., 2009

2008
ADER schemes for the shallow water equations in channel with irregular bottom elevation.
J. Comput. Phys., 2008

Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws.
J. Comput. Phys., 2008

A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes.
J. Comput. Phys., 2008

Solvers for the high-order Riemann problem for hyperbolic balance laws.
J. Comput. Phys., 2008

Exact solution of the Riemann problem for the shallow water equations with discontinuous bottom geometry.
J. Comput. Phys., 2008

2007
Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems.
J. Comput. Phys., 2007

2006
MUSTA fluxes for systems of conservation laws.
J. Comput. Phys., 2006

Derivative Riemann solvers for systems of conservation laws and ADER methods.
J. Comput. Phys., 2006

2005
TVD Fluxes for the High-Order ADER Schemes.
J. Sci. Comput., 2005

2002
ADER: Arbitrary High Order Godunov Approach.
J. Sci. Comput., 2002

ADER: A High-Order Approach for Linear Hyperbolic Systems in 2D.
J. Sci. Comput., 2002


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