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Perturbation expansions and series acceleration procedures: Part-II. Extrapolation techniques

Sangaranarayanan, MV and Rangarajan, SK (1984) Perturbation expansions and series acceleration procedures: Part-II. Extrapolation techniques. In: Pramana, 22 (5). pp. 407-419.

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Three new procedures for the extrapolation of series coefficients from a given power series expansion are proposed. They are based on (i) a novel resummation identity, (ii) parametrised Euler transformation (pet) and (iii) a modifiedpet. Several examples taken from the Ising model series expansions, ferrimagnetic systems, etc., are illustrated. Apart from these applications, the higher order virial coefficients for hard spheres and hard discs have also been evaluated using the new techniques and these are compared with the estimates obtained by other methods. A satisfactory agreement is revealed between the two.

Item Type: Journal Article
Publication: Pramana
Publisher: Springer India
Additional Information: Copyright for this article belongs to Springer India.
Keywords: Ising models - parametrised Euler transformation - virial coefficients - hard spheres - hard discs
Department/Centre: Division of Chemical Sciences > Inorganic & Physical Chemistry
Date Deposited: 01 Feb 2010 07:10
Last Modified: 19 Sep 2010 05:41
URI: http://eprints.iisc.ac.in/id/eprint/22349

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