Quarterly of Applied Mathematics · 1975 · 173 citations · 6 references
Natural SciencesComputational EngineeringDifferential EquationsIntegral Equation FormulationsIntegral EquationsNumerical AnalysisNumerical IntegrationNumerical Methods For Differential EquationsGauss QuadratureNumerical Methods For Integral EquationsQuadrature OperatorsQuadrature RulesQuadrature TheorySingular Integral EquationsSingular Integral Evaluation
In this paper it is shown that by proper choice of the collocation points singular integral equations of the first and the second kind can be integrated by use of the usual Gauss-Jacobi quadrature formula. Detailed formulas are given for various values of the index.
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Handbook of Mathematical Functions
Donald A. McQuarrie · American Journal of Physics · 1966 · 40.9K citations
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Approximate Methods of Higher Analysis
A. S. Householder, L. V. Kantorovich, V. I. Krylov · Mathematics of Computation · 1960 · 730 citations