Performance of Borel-Padé-Laplace integrator for the solution of stiff and non-stiff problems

Ahmad Deeb , Aziz Hamdouni , Dina Razafindralandy (1)

1 LaSIE - Laboratoire des Sciences de l'Ingénieur pour l'Environnement - UMR 7356

A stability analysis of the Borel-Padé-Laplace series summation technique, used as explicit time integrator, is carried out. Its numerical performance on stiff and non-stiff problems is analyzed. Applications to ordinary and partial differential equations are presented. The results are compared with those of many popular schemes designed for stiff and non-stiff equations.

Mots clés: Borel-Laplace summation; divergent series; time integrator; stiff equations

Domaines: Dynamique Chaotique [nlin.CD]; Analyse numérique [math.NA]; Mécanique des fluides [physics.class-ph]; Géométrie différentielle [math.DG]

Ahmad Deeb, Aziz Hamdouni, Dina Razafindralandy. Performance of Borel-Padé-Laplace integrator for the solution of stiff and non-stiff problems. Applied Mathematics and Computation, 2022, 426, ⟨10.1016/j.amc.2022.127118⟩. ⟨hal-03641062⟩