Quadrature formula of singular integral based on rational interpolation

DOI10.1007/BF02912136zbMath1041.65027MaRDI QIDQ4457915

No author found.

Publication date: 17 March 2004

Published in: Wuhan University Journal of Natural Sciences (Search for Journal in Brave)

zbMATH Keywords

convergenceLagrange interpolationrational systemgeneralized Chebyshev polynomialsingular quadrature formula

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Cites Work

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• On the natural interpolation formula for Cauchy type singular integral equations of the first kind
• On the existence of approximate solutions for singular integral equations of Cauchy type discretized by Gauss-Chebyshev quadrature formulae
• Singular integral equations. The convergence of the Nyström interpolant of the Gauss-Chebyshev method
• Lagrange interpolation and quadrature formula in rational systems
• On convergence of two direct methods for solution of Cauchy type singular integral equations of the first kind
• On the polynomials interpolating approximate solutions of singular integral equations
• On quadrature formulas for singular integral equations of the first and the second kind
• Numerical integration methods for the solution of singular integral equations
• Chebyshev Polynomials and Markov-Bernstein Type Inequalities for Rational Spaces
• On the numerical solution of singular integral equations

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