English

Performance of Borel-Pad\'e-Laplace integrator for the resolution of stiff and non-stiff problems

Numerical Analysis 2022-03-24 v2 Numerical Analysis

Abstract

A stability analysis of the Borel-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.

Keywords

Cite

@article{arxiv.2007.00390,
  title  = {Performance of Borel-Pad\'e-Laplace integrator for the resolution of stiff and non-stiff problems},
  author = {Ahmad Deeb and Aziz Hamdouni and Dina Razafindralandy},
  journal= {arXiv preprint arXiv:2007.00390},
  year   = {2022}
}