On the preservation of invariants by explicit Runge--Kutta methods M Calvo, D Hernández-Abreu, JI Montijano, L Rández SIAM Journal on Scientific Computing 28 (3), 868-885, 2006 | 61 | 2006 |

An efficient family of strongly A-stable Runge–Kutta collocation methods for stiff systems and DAEs. Part I: Stability and order results S González-Pinto, D Hernández-Abreu, JI Montijano Journal of computational and applied mathematics 234 (4), 1105-1116, 2010 | 26 | 2010 |

AMF-type W-methods for parabolic problems with mixed derivatives S González-Pinto, E Hairer, D Hernández-Abreu, S Pérez-Rodríguez SIAM Journal on Scientific Computing 40 (5), A2905-A2929, 2018 | 20 | 2018 |

A family of three-stage third order AMF-W-methods for the time integration of advection diffusion reaction PDEs. S González-Pinto, D Hernández-Abreu, S Pérez-Rodríguez, R Weiner Applied Mathematics and Computation 274, 565-584, 2016 | 18 | 2016 |

Rosenbrock-type methods with Inexact AMF for the time integration of advection–diffusion–reaction PDEs S González-Pinto, D Hernández-Abreu, S Pérez-Rodríguez Journal of computational and applied mathematics 262, 304-321, 2014 | 16 | 2014 |

An efficient family of strongly A-stable Runge–Kutta collocation methods for stiff systems and DAEs. Part II: Convergence results S González-Pinto, D Hernández-Abreu, JI Montijano Applied Numerical Mathematics 62 (10), 1349-1360, 2012 | 15 | 2012 |

W-methods to stabilize standard explicit Runge–Kutta methods in the time integration of advection–diffusion–reaction PDEs S González-Pinto, D Hernández-Abreu, S Pérez-Rodríguez Journal of Computational and Applied Mathematics 316, 143-160, 2017 | 14 | 2017 |

PDE-W-methods for parabolic problems with mixed derivatives S González-Pinto, E Hairer, D Hernández-Abreu, S Pérez-Rodríguez Numerical Algorithms 78, 957-981, 2018 | 13 | 2018 |

Convergence in and Norm of One-Stage AMF-W-Methods for Parabolic Problems S González-Pinto, E Hairer, D Hernandez-Abreu SIAM Journal on Numerical Analysis 58 (2), 1117-1137, 2020 | 12 | 2020 |

Strong A-acceptability for rational functions S González-Pinto, D Hernández-Abreu BIT Numerical Mathematics 43, 555-561, 2003 | 12 | 2003 |

Global error estimates for a uniparametric family of stiffly accurate Runge-Kutta collocation methods on singularly perturbed problems S González-Pinto, D Hernández-Abreu BIT Numerical Mathematics 51, 155-175, 2011 | 11 | 2011 |

Stable Runge-Kutta integrations for differential systems with semi-stable equilibria S González-Pinto, D Hernández-Abreu Numerische Mathematik 97, 473-491, 2004 | 10 | 2004 |

AMFR-W-methods for parabolic problems with mixed derivates. Applications to the Heston model S González-Pinto, D Hernández-Abreu, S Perez-Rodriguez Journal of Computational and Applied Mathematics 387, 112518, 2021 | 7 | 2021 |

A unified formulation of splitting-based implicit time integration schemes S González-Pinto, D Hernández-Abreu, MS Pérez-Rodríguez, A Sarshar, ... Journal of Computational Physics 448, 110766, 2022 | 6 | 2022 |

Splitting-methods based on Approximate Matrix Factorization and Radau-IIA formulas for the time integration of advection diffusion reaction PDEs S González-Pinto, D Hernández-Abreu Applied Numerical Mathematics 104, 166-181, 2016 | 6 | 2016 |

Semi-implicit methods for differential systems with semi-stable equilibria S González-Pinto, D Hernández-Abreu Applied numerical mathematics 56 (2), 210-221, 2006 | 5 | 2006 |

Convergence in the maximum norm of ADI-type methods for parabolic problems S González-Pinto, D Hernández-Abreu Applied Numerical Mathematics 171, 269-280, 2022 | 4 | 2022 |

Power boundedness in the maximum norm of stability matrices for ADI methods S González-Pinto, E Hairer, D Hernández-Abreu BIT Numerical Mathematics 61 (3), 805-827, 2021 | 4 | 2021 |

AMF-Runge–Kutta formulas and error estimates for the time integration of advection diffusion reaction PDEs S Gonzalez-Pinto, D Hernandez-Abreu, S Perez-Rodriguez Journal of computational and applied mathematics 289, 3-21, 2015 | 4 | 2015 |

Strongly A-stable first stage explicit collocation methods with stepsize control for stiff and differential–algebraic equations S González-Pinto, D Hernández-Abreu, B Simeon Journal of computational and applied mathematics 259, 138-152, 2014 | 4 | 2014 |