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Eleuterio F. Toro

Eleuterio F. Toro

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Mathematics
Italy
2026

D-Index & Metrics

Mathematics

D-Index
63
Citations
27032
World Ranking
432
National Ranking
8

Research.com Recognitions

  • 2026 - Research.com Mathematics in Italy Leader Award
  • 2025 - Research.com Mathematics in Italy Leader Award
  • 2023 - Research.com Mathematics in Italy Leader Award

Overview

Eleuterio F. Toro is affiliated with the University of Trento in Italy. Their research spans multiple fields with a focus on engineering and medicine, engaging deeply in subfields such as computational mechanics, cardiology and cardiovascular medicine, applied mathematics, mathematical physics, and surgery.

Their scientific investigations primarily address topics including computational fluid dynamics and aerodynamics, fluid dynamics and turbulent flows, advanced numerical methods in computational mathematics, cardiovascular health and disease prevention, advanced mathematical physics problems, Navier-Stokes equation solutions, and gas dynamics and kinetic theory.

They have published extensively in various journals, with frequent contributions appearing in Computers & Fluids, Journal of Computational Physics, SSRN Electronic Journal, arXiv (Cornell University), and the International Journal for Numerical Methods in Biomedical Engineering.

Recent papers authored or co-authored by Eleuterio F. Toro include:

  • "Cerebrospinal fluid dynamics coupled to the global circulation in holistic setting: Mathematical models, numerical methods and applications," 2021, International Journal for Numerical Methods in Biomedical Engineering
  • "Bounds for Wave Speeds in the Riemann Problem: Direct Theoretical Estimates," 2020, Computers & Fluids
  • "A fully well-balanced scheme for the 1D blood flow equations with friction source term," 2020, Journal of Computational Physics
  • "An anatomically detailed arterial-venous network model. Cerebral and coronary circulation," 2023, Frontiers in Physiology
  • "AENO: a Novel Reconstruction Method in Conjunction with ADER Schemes for Hyperbolic Equations," 2021, Communications on Applied Mathematics and Computation

Eleuterio F. Toro collaborates with several researchers across their work. Frequent coauthors include Lucas O. Müller, Annunziato Siviglia, Gino I. Montecinos, Morena Celant, and Lorenzo Micalizzi.

Best Publications

  • Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction

    Eleuterio F Toro

  • Riemann Solvers and Numerical Methods for Fluid Dynamics

    Eleuterio F. Toro

  • Restoration of the contact surface in the HLL-Riemann solver

    E. F. Toro;M. Spruce;W. Speares

  • Shock-Capturing Methods for Free-Surface Shallow Flows

    Eleuterio F. Toro

  • A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes

    Michael Dumbser;Dinshaw S. Balsara;Eleuterio F. Toro;Claus-Dieter Munz

  • Experimental and numerical assessment of the shallow water model for two-dimensional dam-break type problems

    Luigi Fraccarollo;Eleuterio F. Toro

  • ADER: Arbitrary High Order Godunov Approach

    V. A. Titarev;E. F. Toro

  • Finite-volume WENO schemes for three-dimensional conservation laws

    V. A. Titarev;E. F. Toro

  • A new 3D parallel SPH scheme for free surface flows

    Angela Ferrari;Michael Dumbser;Eleuterio F. Toro;Aronne Armanini

  • Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems

    Michael Dumbser;Martin Käser;Vladimir A. Titarev;Eleuterio F. Toro

  • ADER schemes for three-dimensional non-linear hyperbolic systems

    V. A. Titarev;E. F. Toro

  • Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws

    Michael Dumbser;Cedric Enaux;Eleuterio F. Toro

  • An arbitrary high-order Discontinuous Galerkin method for elastic waves on unstructured meshes - V. Local time stepping and p-adaptivity

    Michael Dumbser;Michael Dumbser;Martin Käser;Eleuterio F. Toro

  • Towards Very High Order Godunov Schemes

    E. F. Toro;R. C. Millington;L. A. M. Nejad

  • Solution of the generalized Riemann problem for advection–reaction equations

    E. F. Toro;V. A. Titarev

  • A Simple Extension of the Osher Riemann Solver to Non-conservative Hyperbolic Systems

    Michael Dumbser;Eleuterio F. Toro

  • A Weighted Average Flux Method for Hyperbolic Conservation Laws

    E. F. Toro

  • A global multiscale mathematical model for the human circulation with emphasis on the venous system

    Lucas O. Müller;Eleuterio F. Toro

  • Riemann Problems and the WAF Method for Solving the Two-Dimensional Shallow Water Equations

    E. F. Toro

  • Derivative Riemann solvers for systems of conservation laws and ADER methods

    E. F. Toro;V. A. Titarev

Frequent Co-Authors

Michael Dumbser
Michael Dumbser University of Trento
Alberto Bellin
Alberto Bellin University of Trento
Claus-Dieter Munz
Claus-Dieter Munz University of Stuttgart
Giuseppe Saccomandi
Giuseppe Saccomandi University of Perugia
Andro Mikelić
Andro Mikelić Claude Bernard University Lyon 1
Pilar García-Navarro
Pilar García-Navarro University of Zaragoza
E. Mark Haacke
E. Mark Haacke Wayne State University
Gui-Qiang Chen
Gui-Qiang Chen University of Oxford
Alfredo Bermúdez
Alfredo Bermúdez University of Santiago de Compostela

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