The evaluation of Fourier-Bessel transforms in statistical mechanics

José O. Valderrama; Germán A. Muñoz; Stanley I. Sandler

doi:10.1016/0009-2614(86)85182-X

The evaluation of Fourier-Bessel transforms in statistical mechanics

José O. Valderrama^*
, Germán A. Muñoz
, Stanley I. Sandler

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

Abstract

The numerical evaluation of Fourier-Bessel transforms of oscillating functions as occurring in statistical mechanical perturbation theory is considered. It is concluded that the combination of Filon's method with the fast Fourier transform algorithm is the most efficient method of evaluating such integrals. Results are also presented on the influence of the number of points in the integration scheme, noise in the function to be transformed, and truncation of the transform integral on the accuracy obtained.

Original language	English
Pages (from-to)	412-418
Number of pages	7
Journal	Chemical Physics Letters
Volume	125
Issue number	4
DOIs	https://doi.org/10.1016/0009-2614(86)85182-X
State	Published - 11 Apr 1986

ASJC Scopus subject areas

General Physics and Astronomy
Physical and Theoretical Chemistry

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10.1016/0009-2614(86)85182-X

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title = "The evaluation of Fourier-Bessel transforms in statistical mechanics",

abstract = "The numerical evaluation of Fourier-Bessel transforms of oscillating functions as occurring in statistical mechanical perturbation theory is considered. It is concluded that the combination of Filon's method with the fast Fourier transform algorithm is the most efficient method of evaluating such integrals. Results are also presented on the influence of the number of points in the integration scheme, noise in the function to be transformed, and truncation of the transform integral on the accuracy obtained.",

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year = "1986",

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doi = "10.1016/0009-2614(86)85182-X",

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T1 - The evaluation of Fourier-Bessel transforms in statistical mechanics

AU - Valderrama, José O.

AU - Muñoz, Germán A.

AU - Sandler, Stanley I.

PY - 1986/4/11

Y1 - 1986/4/11

N2 - The numerical evaluation of Fourier-Bessel transforms of oscillating functions as occurring in statistical mechanical perturbation theory is considered. It is concluded that the combination of Filon's method with the fast Fourier transform algorithm is the most efficient method of evaluating such integrals. Results are also presented on the influence of the number of points in the integration scheme, noise in the function to be transformed, and truncation of the transform integral on the accuracy obtained.

AB - The numerical evaluation of Fourier-Bessel transforms of oscillating functions as occurring in statistical mechanical perturbation theory is considered. It is concluded that the combination of Filon's method with the fast Fourier transform algorithm is the most efficient method of evaluating such integrals. Results are also presented on the influence of the number of points in the integration scheme, noise in the function to be transformed, and truncation of the transform integral on the accuracy obtained.

UR - https://www.scopus.com/pages/publications/46149134684

U2 - 10.1016/0009-2614(86)85182-X

DO - 10.1016/0009-2614(86)85182-X

M3 - Article

AN - SCOPUS:46149134684

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VL - 125

SP - 412

EP - 418

JO - Chemical Physics Letters

JF - Chemical Physics Letters

IS - 4

ER -

The evaluation of Fourier-Bessel transforms in statistical mechanics

Abstract

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