Extrapolation and series acceleration procedures: hard spheres and discs as illustrations

Sangaranarayanan, M. V. ; Rangarajan, S. K. (1983) Extrapolation and series acceleration procedures: hard spheres and discs as illustrations Physics Letters A, 96 (7). pp. 339-343. ISSN 0375-9601

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Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0375-9601(83)90004-X

Abstract

Three new procedures - in the context of estimation of virial coefficients and summation of the partial virial series for hard discs and hard spheres - are proposed. They are based on the parametrised Euler transformation, a novel resummation, identity and the ?-convergence methods respectively. A comparison with other estimates (molecular dynamics, graph theory and empirical methods) reveals satisfactory agreement.

Item Type:Article
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ID Code:81250
Deposited On:04 Feb 2012 12:33
Last Modified:04 Feb 2012 12:33

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