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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:236

Article

Razafindralandy, Dina¹  Hamdouni, Aziz¹ 

[1] Univ La Rochelle, Lab Sci Ingn Environm LaSIE, La Rochelle, France

关键词: Perturbation method;    Divergent series;    Borel resummation;    Fluid Mechanics;   

DOI  :  10.1016/j.jcp.2012.10.022

来源: Elsevier

【 摘 要 】

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. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free