Domingo Hernández-Abreu

Publication Activity (10 Years)

Years Active: 2004-2024
Publications (10 Years): 17

Top Topics

Methods Can Be Applied

Heuristic Methods

Benchmark Datasets

Algebraic Equations

Top Venues

J. Comput. Appl. Math.

Numer. Algorithms

Appl. Math. Lett.

Publications

Sebastián González-Pintor, Domingo Hernández-Abreu
Boundary corrections for splitting methods in the time integration of multidimensional parabolic problems. CoRR (2024)
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) (2024)
Severiano González-Pinto, Domingo Hernández-Abreu, Soledad Pérez-Rodríguez
Boundary corrections on multi-dimensional PDEs. Numer. Algorithms 96 (2) (2024)
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 (2023)
Severiano González-Pinto, Domingo Hernández-Abreu, Maria S. Pérez-Rodríguez, Arash Sarshar, Steven Roberts, Adrian Sandu
A unified formulation of splitting-based implicit time integration schemes. J. Comput. Phys. 448 (2022)
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 (2021)
Severiano González-Pinto, Domingo Hernández-Abreu
Convergence in the maximum norm of ADI-type methods for parabolic problems. CoRR (2021)
Severiano González-Pinto, Domingo Hernández-Abreu, S. Pérez-Rodríguez
AMFR-W-methods for parabolic problems with mixed derivates. Applications to the Heston model. J. Comput. Appl. Math. 387 (2021)
Severiano González-Pinto, Domingo Hernández-Abreu, Maria S. Pérez-Rodríguez, Arash Sarshar, Steven Roberts, Adrian Sandu
A unified formulation of splitting-based implicit time integration schemes. CoRR (2021)
Severiano González-Pinto, Ernst Hairer, Domingo Hernández-Abreu
Norm of One-Stage AMF-W-Methods for Parabolic Problems. SIAM J. Numer. Anal. 58 (2) (2020)
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) (2020)
Severiano González-Pinto, Ernst Hairer, Domingo Hernández-Abreu, S. Pérez-Rodríguez
AMF-type W-methods for Parabolic Problems with Mixed Derivatives. SIAM J. Sci. Comput. 40 (5) (2018)
Severiano González-Pinto, Ernst Hairer, Domingo Hernández-Abreu, S. Pérez-Rodríguez
PDE-W-methods for parabolic problems with mixed derivatives. Numer. Algorithms 78 (3) (2018)
Severiano González-Pinto, Domingo Hernández-Abreu, S. 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 (2017)
Severiano González-Pinto, Domingo Hernández-Abreu, Severiano 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 (2016)
Severiano González-Pinto, Domingo Hernández-Abreu, S. Pérez-Rodríguez
AMF-Runge-Kutta formulas and error estimates for the time integration of advection diffusion reaction PDEs. J. Comput. Appl. Math. 289 (2015)
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 (2015)
Severiano González-Pinto, Domingo Hernández-Abreu, Severiano Pérez-Rodríguez
Rosenbrock-type methods with Inexact AMF for the time integration of advection-diffusion-reaction PDEs. J. Comput. Appl. Math. 262 (2014)
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 (2014)
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) (2010)
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) (2007)
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) (2006)
Severiano González-Pinto, Domingo Hernández-Abreu
Stable Runge-Kutta integrations for differential systems with semi-stable equilibria. Numerische Mathematik 97 (3) (2004)