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
53 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 S González-Pinto, E Hairer, D Hernandez-Abreu
SIAM Journal on Numerical Analysis 58 (2), 1117-1137, 2020
11 2020 Strong A-acceptability for rational functions S González-Pinto, D Hernández-Abreu
BIT Numerical Mathematics 43, 555-561, 2003
11 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 51 (1), 155-175, 2011
10 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 Pérez-Rodríguez
Journal of Computational and Applied Mathematics 387, 112518, 2021
7 2021 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
5 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 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
4 2022 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 