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Time integration algorithm based on divergent series resummation, for ordinary and partial differential equations. (English) Zbl 1286.76123

Summary: 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.

MSC:

76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics
40G10 Abel, Borel and power series methods
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