2011/06/18 by Hugo Jiménez-Pérez, J. Laskar, Jiménez-Pérez, Hugo +1 · 1 citation
Engineering · Mathematics · #Control and Stability of Dynamical Systems #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
paper · pdf · doi:10.48550/arxiv.1106.3694
openalex publication_date 2011/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce a time-parallel algorithm for solving numerically almost integrable Hamiltonian systems in action-angle coordinates. This algorithm is a refinement of that introduced by Saha, Stadel and Tremaine in 1997 (SST97) for the same type of problems. Our refined algorithm has a better convergence obtained from the use of derivatives of the perturbing term not considered in the original SST97 algorithm. An advantage of this algorithm is its independence of the step-size for the parallelized procedures which can be consider as a particular case of the parareal scheme.