Approximation Theory and its Applications

, Volume 12, Issue 4, pp 105–110 | Cite as

A quadrature rule for Hadamard finite part integrals

  • Samir A. Ashour


Finite part integrals introduced by Hadamard in connection with hyperbolic partial differential equations, have been useful in a number of engineering applications. In this paper we investigate some numericals methods for computing finite-part integrals.


Singular Integral Equation Quadrature Rule Numerical Integration Method Finite Part Hyperbolic Partial Differential Equation 
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    Ioakimidis, N.I., Application of Finite-Part Integrals to Singular Integral Equations of Crack Problems in Plane and Three-Dimensional Elasticity, Acta Mechanica (1982), 45, 31–47.Google Scholar
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    Hadamard, J., Lectures on Cauchy’s Problems in Linear Partial Differential Equations, New York: Dover, 1952.Google Scholar
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    Gabdulkhaef, B.G., and Sharipov, R.M., Optimization of Quadratic Formula of Singular Integrals of Cauchy and Hadamard Type, Constructive theory of functions and functionals analysis, Kazans university, 1987, pp. 5–48.Google Scholar

Copyright information

© Springer 1996

Authors and Affiliations

  • Samir A. Ashour
    • 1
  1. 1.Department of Mathematics Faculty of ScienceCairo UniversityGizaEgypt

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