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Efficient quadrature rules with a priori error estimates for integrands with end point singularities

  • Part II Numerical Mathematics
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Abstract

In this paper we present details of an efficient numerical integration rule based upon error function transformation of the integration variable. We also derive an a priori error estimate for our method and present numerical results to highlight various features of the rule as applied to integrals with end point singularities in the low order derivatives of their integrands.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Plymouth Polytechnic, PL4 8AA, Plymouth, Devon, England

    S. Amini

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  1. S. Amini
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Amini, S. Efficient quadrature rules with a priori error estimates for integrands with end point singularities. BIT 26, 200–208 (1986). https://doi.org/10.1007/BF01933746

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  • DOI: https://doi.org/10.1007/BF01933746

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