Publicaciones (34) Publicaciones de Domingo Hernández Abreu

2023

  1. Boundary corrections on multi-dimensional PDEs

    Numerical Algorithms

  2. Generalized TASE-RK methods for stiff problems

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

  3. High order PDE-convergence of AMF-W methods for 2D-linear parabolic problems

    Journal of Computational and Applied Mathematics, Vol. 417

2022

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

    Journal of Computational Physics, Vol. 448

  2. Convergence in the maximum norm of ADI-type methods for parabolic problems

    Applied Numerical Mathematics, Vol. 171, pp. 269-280

2021

  1. A comparison of one-step and two-step W-methods and peer methods with approximate matrix factorization

    Journal of Computational and Applied Mathematics, Vol. 387

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

    Journal of Computational and Applied Mathematics, Vol. 387

  3. Power boundedness in the maximum norm of stability matrices for ADI methods

    BIT Numerical Mathematics, Vol. 61, Núm. 3, pp. 805-827

2020

  1. Convergence in ι2 and ι∞ norm of one-stage AMF-W-methods for parabolic problems

    SIAM Journal on Numerical Analysis, Vol. 58, Núm. 2, pp. 1117-1137

  2. Variable Step-Size Control Based on Two-Steps for Radau IIA Methods

    ACM Transactions on Mathematical Software, Vol. 46, Núm. 4

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

  2. Splitting-methods based on Approximate Matrix Factorization and Radau-IIA formulas for the time integration of advection diffusion reaction PDEs

    Applied Numerical Mathematics, Vol. 104, pp. 166-181

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. On the global error of special Runge-Kutta methods applied to linear Differential Algebraic Equations

    Applied Mathematics Letters, Vol. 39, pp. 53-59

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

    AIP Conference Proceedings

  4. Some interesting 3-stage W-methods

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