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ORCIDDomingo Hernández-Abreu
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2020 – today
- 2024
[j20]Dajana Conte, Severiano González-Pinto, Domingo Hernández-Abreu
, Giovanni Pagano:
On Approximate Matrix Factorization and TASE W-Methods for the Time Integration of Parabolic Partial Differential Equations. J. Sci. Comput. 100(2): 34 (2024)- [j19]Severiano González-Pinto, Domingo Hernández-Abreu, Soledad Pérez-Rodríguez:
Boundary corrections on multi-dimensional PDEs. Numer. Algorithms 96(2): 507-535 (2024) - [i3]Sebastián González-Pintor, Domingo Hernández-Abreu:
Boundary corrections for splitting methods in the time integration of multidimensional parabolic problems. CoRR abs/2406.05907 (2024) - 2023
- [j18]Severiano González-Pinto, Ernst Hairer, Domingo Hernández-Abreu:
High order PDE-convergence of AMF-W methods for 2D-linear parabolic problems. J. Comput. Appl. Math. 417: 114642 (2023) - 2022
- [j17]Severiano González-Pinto, Domingo Hernández-Abreu, Maria Soledad Pérez-Rodríguez, Arash Sarshar, Steven Roberts, Adrian Sandu:
A unified formulation of splitting-based implicit time integration schemes. J. Comput. Phys. 448: 110766 (2022) - 2021
- [j16]Severiano González-Pinto, Domingo Hernández-Abreu, Soledad Pérez-Rodríguez:
AMFR-W-methods for parabolic problems with mixed derivates. Applications to the Heston model. J. Comput. Appl. Math. 387: 112518 (2021) - [j15]Marcel Klinge, Domingo Hernández-Abreu, Rüdiger Weiner:
A comparison of one-step and two-step W-methods and peer methods with approximate matrix factorization. J. Comput. Appl. Math. 387: 112519 (2021) - [i2]Severiano González-Pinto, Domingo Hernández-Abreu:
Convergence in the maximum norm of ADI-type methods for parabolic problems. CoRR abs/2102.12229 (2021) - [i1]Severiano González-Pinto, Domingo Hernández-Abreu, Maria Soledad Pérez-Rodríguez, Arash Sarshar, Steven Roberts, Adrian Sandu:
A unified formulation of splitting-based implicit time integration schemes. CoRR abs/2103.00757 (2021) - 2020
- [j14]Severiano González-Pinto, Ernst Hairer, Domingo Hernández-Abreu:
Convergence in ℓ2 and ℓ∞ Norm of One-Stage AMF-W-Methods for Parabolic Problems. SIAM J. Numer. Anal. 58(2): 1117-1137 (2020) - [j13]Severiano González-Pinto, Domingo Hernández-Abreu, Juan Ignacio Montijano:
Variable Step-Size Control Based on Two-Steps for Radau IIA Methods. ACM Trans. Math. Softw. 46(4): 33:1-33:24 (2020)
2010 – 2019
- 2018
- [j12]Severiano González-Pinto, Ernst Hairer, Domingo Hernández-Abreu, Soledad Pérez-Rodríguez:
PDE-W-methods for parabolic problems with mixed derivatives. Numer. Algorithms 78(3): 957-981 (2018) - [j11]Severiano González-Pinto, Ernst Hairer, Domingo Hernández-Abreu, Soledad Pérez-Rodríguez:
AMF-type W-methods for Parabolic Problems with Mixed Derivatives. SIAM J. Sci. Comput. 40(5): A2905-A2929 (2018) - 2017
- [j10]Severiano González-Pinto, Domingo Hernández-Abreu, Soledad Pérez-Rodríguez:
W-methods to stabilize standard explicit Runge-Kutta methods in the time integration of advection-diffusion-reaction PDEs. J. Comput. Appl. Math. 316: 143-160 (2017) - 2016
- [j9]Severiano González-Pinto, Domingo Hernández-Abreu, Soledad Pérez-Rodríguez, Rüdiger Weiner:
A family of three-stage third order AMF-W-methods for the time integration of advection diffusion reaction PDEs. Appl. Math. Comput. 274: 565-584 (2016) - 2015
- [j8]Kristian Debrabant, Severiano González-Pinto, Domingo Hernández-Abreu:
On the global error of special Runge-Kutta methods applied to linear Differential Algebraic Equations. Appl. Math. Lett. 39: 53-59 (2015) - [j7]Severiano González-Pinto, Domingo Hernández-Abreu, Soledad Pérez-Rodríguez:
AMF-Runge-Kutta formulas and error estimates for the time integration of advection diffusion reaction PDEs. J. Comput. Appl. Math. 289: 3-21 (2015) - 2014
- [j6]Severiano González-Pinto, Domingo Hernández-Abreu, Bernd Simeon:
Strongly A-stable first stage explicit collocation methods with stepsize control for stiff and differential-algebraic equations. J. Comput. Appl. Math. 259: 138-152 (2014) - [j5]Severiano González-Pinto, Domingo Hernández-Abreu, Soledad Pérez-Rodríguez:
Rosenbrock-type methods with Inexact AMF for the time integration of advection-diffusion-reaction PDEs. J. Comput. Appl. Math. 262: 304-321 (2014) - 2010
- [j4]Severiano González-Pinto, Domingo Hernández-Abreu, Juan I. Montijano:
An efficient family of strongly A-stable Runge-Kutta collocation methods for stiff systems and DAEs. Part I: Stability and order results. J. Comput. Appl. Math. 234(4): 1105-1116 (2010)
2000 – 2009
- 2007
- [j3]Severiano González-Pinto, Domingo Hernández-Abreu:
On the Contractivity and Convergence of General Linear Methods on Semi-Infinite Intervals. SIAM J. Numer. Anal. 45(3): 969-985 (2007) - 2006
- [j2]Manuel Calvo, Domingo Hernández-Abreu, Juan I. Montijano, Luis Rández:
On the Preservation of Invariants by Explicit Runge-Kutta Methods. SIAM J. Sci. Comput. 28(3): 868-885 (2006) - 2004
- [j1]Severiano González-Pinto, Domingo Hernández-Abreu:
Stable Runge-Kutta integrations for differential systems with semi-stable equilibria. Numerische Mathematik 97(3): 473-491 (2004)
Coauthor Index
aka: Maria Soledad Pérez-Rodríguez
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