Numerische Mathematik

, Volume 19, Issue 3, pp 248–259

The numerical solution of Fredholm integral equations of the second kind with singular kernels

  • Kendall Atkinson

DOI: 10.1007/BF01404695

Cite this article as:
Atkinson, K. Numer. Math. (1972) 19: 248. doi:10.1007/BF01404695


A numerical method is given for integral equations with singular kernels. The method modifies the ideas of product integration contained in [3], and it is analyzed using the general schema of [1]. The emphasis is on equations which were not amenable to the method in [3]; in addition, the method tries to keep computer running time to a minimum, while maintaining an adequate order of convergence. The method is illustrated extensively with an integral equation reformulation of boundary value problems forΔuP(r2)u=0; see [9].

Copyright information

© Springer-Verlag 1972

Authors and Affiliations

  • Kendall Atkinson
    • 1
  1. 1.Mathematics DepartmentIndiana UniversityBloomingtonUSA
  2. 2.Research Fellow at Computer CenterAustralian National UniversityCanberraAustralia