Convergence of Gauss-Lobatto type quadrature formulas for the evaluation of principal value singular integrals

DOI10.1007/BF02579427zbMath0629.41016MaRDI QIDQ1093828

B. George

Publication date: 1986

Published in: Calcolo (Search for Journal in Brave)

zbMATH Keywords

Gauss-Lobatto quadrature ruleCauchy singular integralssmooth Jacobi weightGauss-Lobatto type quadrature

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Cites Work

• Gaussian formulae for the calculation of Cauchy principal value integrals and their convergence
• Convergence of Gauss-Christoffel formula with preassigned node for Cauchy principal-value integrals
• On the convergence of the Gauss quadrature rules for Cauchy principal value integrals
• Rates of Convergence of Gaussian Quadrature for Singular Integrands
• Mean Convergence of Lagrange Interpolation. III
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