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The numerical approximation of a class of finite integrals

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Abstract

The object of this paper is to derive a method for the numerical approximation of integrals of the form

$$\int_{ - 1}^1 {w(x)f(x)(x^2 + \mathop {a^2 }\limits^ - )^{ - 1} } dx$$

where w(x)=(1−x 2)±1/2 or ((1−x)/(1+x))1/2.

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Authors and Affiliations

  1. School of Mathematics and Computing, The Polytechnic, Calverley Street, LS1 3HE, Leeds, Yorkshire, England

    H. V. Smith

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  1. H. V. Smith
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Smith, H.V. The numerical approximation of a class of finite integrals. BIT 24, 253–256 (1984). https://doi.org/10.1007/BF01937492

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  • DOI: https://doi.org/10.1007/BF01937492

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