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Mathematics of Computation

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Further convergence results for the weighted Galerkin method of numerical solution of Cauchy-type singular integral equations

Author: N. I. Ioakimidis
Journal: Math. Comp. 41 (1983), 79-85
MSC: Primary 65R20; Secondary 45E05, 45L10
MathSciNet review: 701625
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Abstract: The convergence of the weighted Galerkin method (based on Chebyshev or Jacobi polynomials) for the direct numerical solution of one-dimensional, real Cauchy-type singular integral equations of the first and of the second kind on a finite interval is proved under sufficiently weak continuity assumptions for the kernels and the right-side functions of the integral equations.

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Article copyright: © Copyright 1983 American Mathematical Society

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