On the convergence of the direct quadrature method for Cauchy type singular integral equations of the first kind
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Date
1983-02-10
Authors
Ioakimidis, Nikolaos
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Abstract
The convergence of the direct quadrature method (based on the Gauss–Chebyshev quadrature rule) for Cauchy type singular integral equations of the first kind is demonstrated under appropriate conditions. The rate of convergence is also established.
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Keywords
Cauchy type principal value integrals, Cauchy type singular integral equations, Numerical solution of singular integral equations, Direct quadrature method, Gauss–Chebyshev quadrature rule, Uniform norm, Bounds, Convergence, Rate of convergence