Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
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.
Hadamard, J., Lectures on Cauchy’s Problems in Linear Partial Differential Equations, New York: Dover, 1952.
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.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ashour, S.A. A quadrature rule for Hadamard finite part integrals. Approx. Theory & its Appl. 12, 105–110 (1996). https://doi.org/10.1007/BF02849321
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02849321