A unified formulation of splitting-based implicit time integration schemes

S González-Pinto, D Hernández-Abreu… - Journal of …, 2022 - Elsevier
Splitting-based time integration approaches such as fractional step, alternating direction
implicit, operator splitting, and locally one dimensional methods partition the system of …

[HTML][HTML] Boundary corrections for splitting methods in the time integration of multidimensional parabolic problems

S González-Pinto, D Hernández-Abreu - Applied Numerical Mathematics, 2025 - Elsevier
This work considers two boundary correction techniques to mitigate the reduction in the
temporal order of convergence in PDE sense (ie, when both the space and time resolutions …

[HTML][HTML] Convergence in the maximum norm of ADI-type methods for parabolic problems

S González-Pinto, D Hernández-Abreu - Applied Numerical Mathematics, 2022 - Elsevier
Results on unconditional convergence in the maximum norm for ADI-type methods, such as
the Douglas method, applied to the time integration of parabolic problems are quite difficult …

[PDF][PDF] Computational Science Laboratory Report CSL-TR-21-3 September 21, 2021

S González-Pinto, D Hernández-Abreu… - arxiv preprint arxiv …, 2021 - researchgate.net
Splitting-based time integration approaches such as fractional step, alternating direction
implicit, operator splitting, and locally one dimensional methods partition the system of …

Convergence in the maximum norm of ADI-type methods for parabolic problems

SG Pinto, DH Abreu - arxiv preprint arxiv:2102.12229, 2021 - arxiv.org
Results on unconditional convergence in the Maximum norm for ADI-type methods, such as
the Douglas method, applied to the time integration of semilinear parabolic problems are …