Publications by the researcher in collaboration with María Soledad Pérez Rodríguez (13)

2024

  1. Boundary corrections on multi-dimensional PDEs

    Numerical Algorithms, Vol. 96, Núm. 2, pp. 507-535

2023

  1. Generalized TASE-RK methods for stiff problems

    Applied Numerical Mathematics, Vol. 188, pp. 129-145

2022

  1. A unified formulation of splitting-based implicit time integration schemes

    Journal of Computational Physics, Vol. 448

2021

  1. AMFR-W-methods for parabolic problems with mixed derivates. Applications to the Heston model

    Journal of Computational and Applied Mathematics, Vol. 387

2018

  1. AMF-type W-methods for parabolic problems with mixed derivatives

    SIAM Journal on Scientific Computing, Vol. 40, Núm. 5, pp. A2905-A2929

  2. PDE-W-methods for parabolic problems with mixed derivatives

    Numerical Algorithms, Vol. 78, Núm. 3, pp. 957-981

2017

  1. Optimizing some 3-stage W-methods for the time integration of PDEs

    AIP Conference Proceedings

  2. W-methods to stabilize standard explicit Runge–Kutta methods in the time integration of advection–diffusion–reaction PDEs

    Journal of Computational and Applied Mathematics, Vol. 316, pp. 143-160

2016

  1. A family of three-stage third order AMF-W-methods for the time integration of advection diffusion reaction PDEs.

    Applied Mathematics and Computation, Vol. 274, pp. 565-584

2015

  1. AMF-Runge-Kutta formulas and error estimates for the time integration of advection diffusion reaction PDEs

    Journal of Computational and Applied Mathematics, Vol. 289, pp. 3-21

  2. Some convergence results for inexact Radau IIA methods applied to evolutionary PDEs

    AIP Conference Proceedings

  3. Some interesting 3-stage W-methods

    Proceedings of the XXIV Congress on Differential Equations and Applications, XIV Congress on Applied Mathematics

2014

  1. Rosenbrock-type methods with Inexact AMF for the time integration of advection-diffusion-reaction PDEs

    Journal of Computational and Applied Mathematics, Vol. 262, pp. 304-321