Abstract
We introduce a generalized, Padé approximant. The distinctive feature of the method is its incorporation of a known asymptotic behavior of the series coefficients as a function of their order. For several examples drawn from potential scattering theory, this method of acceleration of convergence is compared with two others and is found to be the most efficient, but not dramatically so.
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© 1981 Springer Basel AG
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Baker, G.A., Gubernatis, J.E. (1981). An Asymptotic, Padé Approximant Method for Legendre Series. In: Butzer, P.L., Fehér, F. (eds) E. B. Christoffel. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5452-8_14
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DOI: https://doi.org/10.1007/978-3-0348-5452-8_14
Publisher Name: Birkhäuser, Basel
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