Time integration algorithm based on divergent series resummation, for ordinary and partial differential equations

Authors:
Dina Razafindralandy;Aziz Hamdouni
Affiliations:
-;-
Venue:
Journal of Computational Physics
Year:
2013

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Abstract

Borel's technique of divergent series resummation is transformed into a numerical code and used as a time integration scheme. It is applied to the resolution of regular and singular problems arising in fluid mechanics. Its efficiency is compared to those of classical discretization schemes.