Borel-laplace Summation Method Used as Time Integration Scheme
نویسندگان
چکیده
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 to fluid mechanics are presented.
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تاریخ انتشار 2014