Publicaciones en las que colabora con Jesús Vigo Aguiar (30)

2023

  1. Quadratic B-spline collocation method for time dependent singularly perturbed differential-difference equation arising in the modeling of neuronal activity

    Numerical Methods for Partial Differential Equations, Vol. 39, Núm. 3, pp. 1805-1826

2022

  1. A stable finite difference scheme and error estimates for parabolic singularly perturbed PDEs with shift parameters

    Journal of Computational and Applied Mathematics, Vol. 405

  2. Computational and Mathematical Methods in Science and Engineering

    Journal of Computational and Applied Mathematics

2017

  1. A first approach in solving initial-value problems in ODEs by elliptic fitting methods

    Journal of Computational and Applied Mathematics, Vol. 318, pp. 599-603

  2. A unified approach for the development of k-step block Falkner-type methods for solving general second-order initial-value problems in ODEs

    Journal of Computational and Applied Mathematics, Vol. 318, pp. 550-564

  3. Recent mathematical–computational techniques and models in chemistry

    Journal of Mathematical Chemistry

2015

  1. Mathematical and computational tools in chemistry: CMMSE—2014

    Journal of Mathematical Chemistry

  2. On the choice of the frequency in trigonometrically-fitted methods for periodic problems

    Journal of Computational and Applied Mathematics, Vol. 277, pp. 94-105

  3. Recent trends on Computational and Mathematical Methods in Science and Engineering (CMMSE)

    Journal of Computational and Applied Mathematics

  4. The application of Newton's method in vector form for solving nonlinear scalar equations where the classical Newton method fails

    Journal of Computational and Applied Mathematics, Vol. 275, pp. 228-237

2014

  1. A strategy for selecting the frequency in trigonometrically-fitted methods based on the minimization of the local truncation errors and the total energy error

    Journal of Mathematical Chemistry, Vol. 52, Núm. 4, pp. 1050-1058

  2. A trigonometrically-fitted method with two frequencies, one for the solution and another one for the derivative

    Computer Physics Communications, Vol. 185, Núm. 4, pp. 1230-1236

2012

  1. Topics of contemporary computational mathematics

    International Journal of Computer Mathematics

2011

  1. A numerical ODE solver that preserves the fixed points and their stability

    Journal of Computational and Applied Mathematics, Vol. 235, Núm. 7, pp. 1856-1867

2010

  1. Numerical solution of nonlinear singularly perturbed problems on nonuniform meshes by using a non-standard algorithm

    Journal of Mathematical Chemistry, Vol. 48, Núm. 1, pp. 38-54

  2. On the frequency choice in trigonometrically fitted methods

    Applied Mathematics Letters, Vol. 23, Núm. 11, pp. 1378-1381

2008

  1. A new algorithm appropriate for solving singular and singularly perturbed autonomous initial-value problems

    International Journal of Computer Mathematics

  2. Exponential fitting BDF-Runge-Kutta algorithms

    Computer Physics Communications, Vol. 178, Núm. 1, pp. 15-34

2007

  1. A family of A-stable Runge-Kutta collocation methods of higher order for initial-value problems

    IMA Journal of Numerical Analysis, Vol. 27, Núm. 4, pp. 798-817

  2. A fourth-order Runge-Kutta method based on BDF-type Chebyshev approximations

    Journal of Computational and Applied Mathematics, Vol. 204, Núm. 1, pp. 124-136