On avoiding the singularity in the numerical integration of proper integrals

DOI10.1007/BF01931227zbMath0413.65015OpenAlexW2017440359MaRDI QIDQ3048138

Philip Rabinowitz

Publication date: 1979

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01931227

zbMATH Keywords

error estimatesnumerical integrationquadrature formulaesingular integrandtrapezoidal and midpoint rulescomparison of different formulaeGauss and Lobatto rulesGauss rulesintegrals of analytic functions

Mathematics Subject Classification ID

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

Related Items (3)

Computing Cauchy principal value integrals using a standard adaptive quadrature ⋮ An efficient algorithm for the evaluation of convolution integrals ⋮ On the approximation of nonlinear singular self-adjoint second order boundary value problems

Cites Work

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• Numerical Quadrature and Asymptotic Expansions
• On the Gaussian Integration of Chebyshev Polynomials

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