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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
822006
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
342010
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
332018
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
272016
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
252017
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
232012
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
212014
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
182020
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
172023
PDE-W-methods for parabolic problems with mixed derivatives
S González-Pinto, E Hairer, D Hernández-Abreu, S Pérez-Rodríguez
Numerical Algorithms 78 (3), 957-981, 2018
162018
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 (1), 155-175, 2011
132011
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
122022
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
122021
Strong A-acceptability for rational functions
S González-Pinto, D Hernández-Abreu
BIT Numerical Mathematics 43 (3), 555-561, 2003
122003
On approximate matrix factorization and TASE W-methods for the time integration of parabolic partial differential equations
D Conte, S González-Pinto, D Hernández-Abreu, G Pagano
Journal of Scientific Computing 100 (2), 34, 2024
102024
Stable Runge-Kutta integrations for differential systems with semi-stable equilibria
S González-Pinto, D Hernández-Abreu
Numerische Mathematik 97 (3), 473-491, 2004
102004
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
82022
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
72021
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
PDE-convergence in euclidean norm of AMF-W methods for multidimensional linear parabolic problems
S González-Pinto, E Hairer, D Hernández-Abreu
ESAIM: Mathematical Modelling and Numerical Analysis 58 (6), 2119-2133, 2024
52024
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Articles 1–20