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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

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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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1983-0701625-4
PII: S 0025-5718(1983)0701625-4
Article copyright: © Copyright 1983 American Mathematical Society