Geodesic
Borel-Laplace summation method used as time integration scheme
Ahmad Deeb1 ; Aziz Hamdouni1 ; Erwan Liberge1 ; Dina Razafindralandy1
1 Laboratoire des Sciences de l’Ingénieur pour l’Environnement (LaSIE), Université de La Rochelle. France.
ESAIM. Proceedings, Tome 45 (2014), pp. 318-327.

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A time integration method for the resolution of ordinary and partial differential equations is proposed. The method consists in computing a formal solution as a (eventually divergent) time series. Next, the Borel resummation method is applied to deduce an (sectorial) analytical solution. The speed and spectral properties of the scheme are analyzed through some examples. Applications to fluid mechanics are presented.
DOI : 10.1051/proc/201445033

Ahmad Deeb 1 ; Aziz Hamdouni 1 ; Erwan Liberge 1 ; Dina Razafindralandy 1

1 Laboratoire des Sciences de l’Ingénieur pour l’Environnement (LaSIE), Université de La Rochelle. France. 
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     title = {Borel-Laplace summation method used as time integration scheme},
     journal = {ESAIM. Proceedings},
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     doi = {10.1051/proc/201445033},
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     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201445033/}
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Ahmad Deeb; Aziz Hamdouni; Erwan Liberge; Dina Razafindralandy. Borel-Laplace summation method used as time integration scheme. ESAIM. Proceedings, Tome 45 (2014), pp. 318-327. doi : 10.1051/proc/201445033. http://geodesic.mathdoc.fr/articles/10.1051/proc/201445033/

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