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

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.

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Vydáno v:Journal of computational physics Ročník 236; s. 56 - 73
Hlavní autoři: Razafindralandy, Dina, Hamdouni, Aziz
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Inc 01.03.2013
Elsevier
Témata:
Algorithms
Borel resummation
Chaotic Dynamics
Computation
Differential Geometry
Discretization
Divergent series
Fluid Mechanics
Mathematics
Mechanics
Nonlinear Sciences
Numerical Analysis
Partial differential equations
Perturbation method
Physics
Series (mathematics)
Time integration
Divergent series
Perturbation method
Fluid Mechanics
Borel resummation
Peturbation method
divergent series
ISSN:0021-9991, 1090-2716
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Popis
Shrnutí: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.
Bibliografie:ObjectType-Article-2
SourceType-Scholarly Journals-1
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content type line 23
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2012.10.022