Publications by the researcher in collaboration with Jesús Vigo Aguiar (12)

2019

  1. On the Stability of Exponential Fitting BDF Algorithms: Higher-Order Methods

    International Conference of Computational Methods in Sciences and Engineering 2004 (ICCMSE 2004), pp. 351-353

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

2009

  1. A note on efficient techniques for the second-order parabolic equation subject to non-local conditions

    Applied Numerical Mathematics, Vol. 59, Núm. 6, pp. 1258-1264

  2. On the numerical solution of the heat conduction equations subject to nonlocal conditions

    Applied Numerical Mathematics, Vol. 59, Núm. 10, pp. 2507-2514

2008

  1. Explicit finite difference schemes adapted to advection-reaction equations

    International Journal of Computer Mathematics

  2. Exponential fitted Gauss, Radau and Lobatto methods of low order

    Numerical Algorithms, Vol. 48, Núm. 4, pp. 327-346

  3. Exponential fitting BDF-Runge-Kutta algorithms

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

2007

  1. Adapted BDF algorithms applied to parabolic problems

    Numerical Methods for Partial Differential Equations, Vol. 23, Núm. 2, pp. 350-365

  2. Adapted BDF algorithms: Higher-order methods and their stability

    Journal of Scientific Computing, Vol. 32, Núm. 2, pp. 287-313

  3. Exponential fitting BDF algorithms and their properties

    Applied Mathematics and Computation, Vol. 190, Núm. 1, pp. 80-110

2006

  1. Exponential fitting BDF algorithms: Explicit and implicit 0-stable methods

    Journal of Computational and Applied Mathematics, Vol. 192, Núm. 1, pp. 100-113

2005

  1. On the stability of exponential fitting BDF algorithms

    Journal of Computational and Applied Mathematics, Vol. 175, Núm. 1 SPEC. ISS., pp. 183-194