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Jesús Vigo-Aguiar

Jesús Vigo-Aguiar

D-Index & Metrics

Mathematics

D-Index
39
Citations
4006
World Ranking
2256
National Ranking
36

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

T. E. Simos
T. E. Simos Gulf University for Science & Technology
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

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