Borel-Laplace summation method used as time integration scheme

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Borel-laplace Summation Method Used as Time Integration Scheme

Abstract. 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 t...

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ژورنال

عنوان ژورنال: ESAIM: Proceedings and Surveys

سال: 2014

ISSN: 2267-3059

DOI: 10.1051/proc/201445033