Borel-Laplace summation method used as time integration scheme
ESAIM: ProcS, 45 (2014) 318-327
Published online: 2014-11-13
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Error estimation for numerical approximations of ODEs via composition techniques. Part II: BDF methods
Ahmad Deeb, Denys Dutykh and Maryam Al ZohbiComputational and Applied Mathematics 45 (8) (2026)
https://doi.org/10.1007/s40314-026-03733-1
Numerical integration of Navier–Stokes equations by time series expansion and stabilized FEM
Ahmad Deeb and Denys DutykhMathematics and Computers in Simulation 233 208 (2025)
https://doi.org/10.1016/j.matcom.2025.01.023
Stabilized time‐series expansions for high‐order finite element solutions of partial differential equations
Ahmad Deeb and Denys DutykhStudies in Applied Mathematics 153 (2) (2024)
https://doi.org/10.1111/sapm.12708
2351 91 (2024)
https://doi.org/10.1007/978-3-031-59094-8_7
Proper Generalized Decomposition using Taylor expansion for non-linear diffusion equations
Ahmad Deeb, Omar Kalaoun and Rafik BelarbiMathematics and Computers in Simulation 208 71 (2023)
https://doi.org/10.1016/j.matcom.2023.01.008
Performance of Borel–Padé–Laplace integrator for the solution of stiff and non-stiff problems
Ahmad Deeb, Aziz Hamdouni and Dina RazafindralandyApplied Mathematics and Computation 426 127118 (2022)
https://doi.org/10.1016/j.amc.2022.127118
Numerical time perturbation and resummation methods for nonlinear ODE
C. Tayeh, G. Girault, Y. Guevel and J. M. CadouNonlinear Dynamics 103 (1) 617 (2021)
https://doi.org/10.1007/s11071-020-06137-w
Some robust integrators for large time dynamics
Dina Razafindralandy, Vladimir Salnikov, Aziz Hamdouni and Ahmad DeebAdvanced Modeling and Simulation in Engineering Sciences 6 (1) (2019)
https://doi.org/10.1186/s40323-019-0130-2
1798 020129 (2017)
https://doi.org/10.1063/1.4972721
Comparison between Borel-Padé summation and factorial series, as time integration methods
Dina Razafindralandy, A. Hamdouni and Ahmad DeebDiscrete and Continuous Dynamical Systems - Series S 9 (2) 393 (2016)
https://doi.org/10.3934/dcdss.2016003