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
76 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
32 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
24 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
22 2016 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
22 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
21 2017 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
18 2014 Convergence in S González-Pinto, E Hairer, D Hernandez-Abreu
SIAM Journal on Numerical Analysis 58 (2), 1117-1137, 2020
15 2020 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 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 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
10 2021 Strong A-acceptability for rational functions S González-Pinto, D Hernández-Abreu
BIT Numerical Mathematics 43, 555-561, 2003
10 2003 Generalized TASE-RK methods for stiff problems S González-Pinto, D Hernández-Abreu, G Pagano, S Pérez-Rodríguez
Applied Numerical Mathematics 188, 129-145, 2023
9 2023 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
9 2022 Stable Runge-Kutta integrations for differential systems with semi-stable equilibria S González-Pinto, D Hernández-Abreu
Numerische Mathematik 97, 473-491, 2004
8 2004 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
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 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
5 2021 On the global error of special Runge–Kutta methods applied to linear Differential Algebraic Equations K Debrabant, S González-Pinto, D Hernández-Abreu
Applied Mathematics Letters 39, 53-59, 2015
5 2015 High order PDE-convergence of AMF-W methods for 2D-linear parabolic problems S González-Pinto, E Hairer, D Hernández-Abreu
Journal of Computational and Applied Mathematics 417, 114642, 2023
4 2023 