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Domingo Hernández Abreu
Domingo Hernández Abreu
Profesor de Matemáticas (ULL)
Verified email at ull.es
Title
Cited by
Cited by
Year
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
732006
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
312010
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
242018
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
212016
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
202012
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
192017
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
182014
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
142020
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
132018
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
112011
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
102021
Strong A-acceptability for rational functions
S González-Pinto, D Hernández-Abreu
BIT Numerical Mathematics 43, 555-561, 2003
102003
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
92023
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
92022
Stable Runge-Kutta integrations for differential systems with semi-stable equilibria
S González-Pinto, D Hernández-Abreu
Numerische Mathematik 97, 473-491, 2004
82004
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
62022
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
62016
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
52015
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
42021
AMF-Runge–Kutta formulas and error estimates for the time integration of advection diffusion reaction PDEs
S Gonzalez-Pinto, D Hernandez-Abreu, S Pérez-Rodríguez
Journal of computational and applied mathematics 289, 3-21, 2015
42015
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