Summary
This paper contains a unified rigorous approach for the treatment of fast numerical algorithms for different classes of Fredholm integral equations of second kind. The Krein-Sobolev functional-differential nonlinear equation for the resolvent provides the ground for a unified approach. New results concerning the general analysis of the Krein-Sobolev equation and the convergence and stability of related numerical schemes are also presented.
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Gohberg, I., Koltracht, I. Numerical solution of integral equations, fast algorithms and Krein-Sobolev equation. Numer. Math. 47, 237–288 (1985). https://doi.org/10.1007/BF01389711
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DOI: https://doi.org/10.1007/BF01389711