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Efficient iterative solution of linear systems from discretizing singular integral equations. (English) Zbl 0809.65135
Summary: We study the solution of singular integral equations by iterative methods. We show that discretization of singular integral operators obtained by domain splitting yields a system of algebraic equations that has a structure suitable for iterative solution. Numerical examples of Cauchy type singular integral equations are used to illustrate the proposed approach. This paper establishes a theory for experimental results presented previously.

MSC:
65R20 Numerical methods for integral equations
65F10 Iterative numerical methods for linear systems
45E05 Integral equations with kernels of Cauchy type
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