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Jesús Vigo-Aguiar

Jesús Vigo-Aguiar

D-Index & Metrics

Mathematics

D-Index
39
Citations
4006
World Ranking
2257
National Ranking
36

Jesús Vigo-Aguiar 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 Jesús Vigo-Aguiar 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: 129 publications — 26th percentile

26% of scientists in this discipline score the same or lower.

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

Jesús Vigo-Aguiar 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 Jesús Vigo-Aguiar 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: 39 D-Index — 41st percentile

41% of scientists in this discipline score the same or lower.

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

Overview

Jesús Vigo-Aguiar is affiliated with the University of Salamanca in Spain and has a research focus within the field of Mathematics, particularly in Numerical Analysis, Modeling and Simulation, and Applied Mathematics.

Their primary research topics include differential equations and numerical methods, with a substantial body of work related to fractional differential equations, numerical methods for differential equations, advanced numerical methods in computational mathematics, advanced mathematical modeling in engineering, differential equations and boundary problems, and nonlinear differential equations analysis.

Jesús Vigo-Aguiar has published extensively, with notable recent papers including:

  • "A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction-diffusion problems with arbitrary small diffusion terms," 2020, Journal of Computational and Applied Mathematics
  • "A parameter-uniform grid equidistribution method for singularly perturbed degenerate parabolic convection-diffusion problems," 2020, Journal of Computational and Applied Mathematics
  • "Numerical solution of time-fractional singularly perturbed convection-diffusion problems with a delay in time," 2020, Mathematical Methods in the Applied Sciences
  • "Quadratic B-spline collocation method for time dependent singularly perturbed differential-difference equation arising in the modeling of neuronal activity," 2021, Numerical Methods for Partial Differential Equations
  • "A stable finite difference scheme and error estimates for parabolic singularly perturbed PDEs with shift parameters," 2020, Journal of Computational and Applied Mathematics

Their frequent publication venues reflect their expertise and research interests. These include:

  • Journal of Mathematical Chemistry
  • Journal of Computational and Applied Mathematics
  • Mathematical Methods in the Applied Sciences
  • International Journal of Computer Mathematics
  • Numerical Methods for Partial Differential Equations

Jesús Vigo-Aguiar collaborates regularly with several co-authors, including:

  • Sunil Kumar
  • Devendra Kumar
  • P. Pramod Chakravarthy
  • Anshima Singh
  • Higinio Ramos

Their research contributions span numerical techniques for solving complex differential equations, emphasizing singularly perturbed problems and fractional differential equations. The focus on computational methods and error estimates addresses challenges in numerical accuracy and stability, relevant to applications in engineering and scientific computations.

Best Publications

  • ANALYSIS OF A NUMERICAL DYNAMIC PROGRAMMING ALGORITHM APPLIED TO ECONOMIC MODELS

    Manuel S. Santos;Jesus Vigo-Aguiar

  • A General Procedure For the Adaptation of Multistep Algorithms to the Integration of Oscillatory Problems

    Jesus Vigo-Aguiar;José M. Ferrándiz

  • Symplectic conditions for exponential fitting Runge-Kutta-Nyström methods

    A. Tocino;J. Vigo-Aguiar

  • A Parallel Boundary Value Technique for Singularly Perturbed Two-Point Boundary Value Problems

    J. Vigo-aguiar;S. Natesan

  • High-performance computing: the essential tool and the essential challenge

    Pedro Alonso;José Ranilla;Jesús Vigo-Aguiar

  • Variable stepsize implementation of multistep methods for y' ' = f ( x, y, y' )

    Jesús Vigo-Aguiar;Higinio Ramos

  • Exponentially fitted symplectic integrator.

    T. E. Simos;Jesus Vigo-Aguiar

  • Parameter uniform optimal order numerical approximation of a class of singularly perturbed system of reaction diffusion problems involving a small perturbation parameter

    Pratibhamoy Das;Jesus Vigo-Aguiar

  • Dissipative Chebyshev exponential-fitted methods for numerical solution of second-order differential equations

    Jesús Vigo-Aguiar;Higinio Ramos

  • A modified Runge-Kutta method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems.

    T.E Simos;Jesús Vigo Aguiar

  • Higher order accurate approximations on equidistributed meshes for boundary layer originated mixed type reaction diffusion systems with multiple scale nature

    Pratibhamoy Das;Subrata Rana;Jesus Vigo-Aguiar

  • On the frequency choice in trigonometrically fitted methods

    Higinio Ramos;Jesús Vigo-Aguiar

  • Family of Twelve Steps Exponential Fitting Symmetric Multistep Methods for the Numerical Solution of the Schrödinger Equation

    J. Vigo-Aguiar;T.E. Simos

  • Review of multistep methods for the numerical solution of the radial Schrödinger equation

    Jesús Vigo-Aguiar;T. E. Simos

  • Symmetric Eighth Algebraic Order Methods with Minimal Phase-Lag for the Numerical Solution of the Schrödinger Equation

    T.E. Simos;Jesus Vigo-Aguiar

  • Weak Second Order Conditions for Stochastic Runge--Kutta Methods

    A. Tocino;J. Vigo-Aguiar

  • Exponential fitting BDF–Runge–Kutta algorithms

    Jesús Vigo-Aguiar;J. Martín-Vaquero;Higinio Ramos

  • Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers

    S. Natesan;J. Jayakumar;J. Vigo-Aguiar

  • A dissipative exponentially-fitted method for the numerical solution of the Schrödinger equation and related problems

    T.E. Simos;Jesus Vigo-Aguiar

  • An efficient numerical method for singular perturbation problems

    J. Vigo-Aguiar;S. Natesan

Frequent Co-Authors

Higinio Ramos
Higinio Ramos University of Salamanca
T. E. Simos
T. E. Simos Ulyanovsk State Technical University
Juan Luis García Guirao
Juan Luis García Guirao Polytechnic University of Cartagena
Stephen K. Gray
Stephen K. Gray Victoria University
Manuel A. S. Santos
Manuel A. S. Santos University of Aveiro
Juan C. Reboredo
Juan C. Reboredo University of Santiago de Compostela
Alicia Cordero
Alicia Cordero Universitat Politècnica de València
Jorge Eduardo Macías-Díaz
Jorge Eduardo Macías-Díaz Autonomous University of Aguascalientes

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