Numerische Mathematik

, Volume 25, Issue 3, pp 231–238 | Cite as

Error analysis for a class of degenerate-kernel methods

  • Ian H. Sloan


Convergence theorems are proved for a recently proposed class of degenerate-kernel methods for the numerical solution of Fredholm integral equations of the second kind. In particular, it is shown that the simplest of these methods has a faster rate of convergence than the simple method of moments, or Galerkin method, even though its computational requirements are almost identical.


Integral Equation Mathematical Method Fast Rate Error Analysis Convergence Theorem 
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Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • Ian H. Sloan
    • 1
  1. 1.Dept. of Applied MathematicsUniv. of New South WalesKensingtonAustralia

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