Padé Interpolation
نویسنده
چکیده
A more interesting use of Padé approximation is “two-point Padé approximation” or Padé interpolation in which a Padé approximant for f(x) is constructed from two truncated Taylor series: one for when x is very small and one is for when x is very large. The Padé approximant in this method interpolates between the values at which f(x) is known. This method is directly applicable to perturbation theory.
منابع مشابه
On the Generality of Multipoint Padé Approximations
Multipoint Padé interpolation methods have shown to be very efficient for model reduction of large-scale dynamical systems. The objective of this paper is to analyze the generality of this approach. We mainly focus our attention on the Single Input Single Output case. The generalization of this approach for MIMO model reduction is briefly introduced.
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A novel application of the Padé approximation is proposed in which the Padé approximant is used as an interpolation for the small and large coupling behaviors of a physical system, resulting in a prediction of the behavior of the system at intermediate couplings. This method is applied to quarkonium systems and reasonable values for the c and b quark masses are obtained. PACS: 11.15.Me, 11.15.T...
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