In this paper a linkage between the well known Picard's iteration method and the generalized Lie series, representative of the solution to an evolutionary Cauchy problem, is presented. It turns out that Picard's procedure can rigorously introduce generalized Lie series since Its steps are the partial sums of those series.
On Picard Iteration and Lie Series in Analytic Evolutionary Problems of Physics
QUARTIERI, Joseph;GUARNACCIA, CLAUDIO
2008
Abstract
In this paper a linkage between the well known Picard's iteration method and the generalized Lie series, representative of the solution to an evolutionary Cauchy problem, is presented. It turns out that Picard's procedure can rigorously introduce generalized Lie series since Its steps are the partial sums of those series.File in questo prodotto:
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