Error expansion of classical mid-point rectangle rule for computing Cauchy principal value integrals on an interval

DOI10.1080/00207160.2013.873123zbMath1306.65173OpenAlexW2096131799MaRDI QIDQ2931965

Ju'e Yang, Jin Li, De-Hao Yu

Publication date: 28 November 2014

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2013.873123

zbMATH Keywords

collocation methodsingular integral equationssuperconvergenceCauchy principal value integralerror expansioncomposite mid-rectangle rulesingular integral, Hilbert transform

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Integral equations with kernels of Cauchy type (45E05)

Related Items (5)

The trapezoidal rule for computing Cauchy principal value integral on circle ⋮ Error expansion of trapezoidal rule for certain two-dimensional Cauchy principal value integrals ⋮ Simpson's rule to approximate Hilbert integral and its application ⋮ Error expansion of piecewise constant interpolation rule for certain two-dimensional Cauchy principal value integrals ⋮ Extended error expansion of classical midpoint rectangle rule for Cauchy principal value integrals on an interval

Cites Work

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