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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

Eleuterio F. Toro publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Eleuterio F. Toro sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 218 publications — 69th percentile

69% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Eleuterio F. Toro D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Eleuterio F. Toro sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 63 D-Index — 88th percentile

88% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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
Philip L. Roe
Philip L. Roe University of Michigan–Ann Arbor
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
Alfredo Bermúdez
Alfredo Bermúdez University of Santiago de Compostela
Gui-Qiang Chen
Gui-Qiang Chen University of Oxford

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