Asymptotically sharp error estimates for modified compound quadrature formulae for Cauchy principal value integrals

DOI10.1007/BF02238435zbMath0830.41024OpenAlexW1594942534MaRDI QIDQ1900696

Yanyan Li

Publication date: 26 November 1995

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238435

zbMATH Keywords

error estimatesCauchy principal value integralsPeano kernelsmodified quadrature formula

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical integration (65D30)

Related Items (2)

New error bounds for modified quadrature formulas for Cauchy principal value integrals ⋮ A definiteness criterion for linear functionals and its application to Cauchy principal value quadrature

Cites Work

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• Error estimates for interpolatory quadrature formulae
• The numerical evaluation of one-dimensional Cauchy principal value integrals
• On the numerical integration of certain singular integrals
• Modified compound quadrature rules for strongly singular integrals
• The modified quadrature method for classical pseudodifferential equations of negative order on smooth closed curves
• Complex Gauss-Kronrod integration rules for certain Cauchy principal value integrals
• Error Estimates for Three Methods of Evaluating Cauchy Principal Value Integrals
• Singularity subtraction in the numerical solution of integral equations

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