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

2020/07/01 by Ahmad Deeb, Deeb, Ahmad, Aziz Hamdouni +3 · 1 citation
Engineering · Mathematics · #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.2007.00390

openalex publication_date 2020/07/01 · openalex created_date 2022/09/08 · openalex updated_date 2026/07/28

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.

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