On the numerical integration of certain singular integrals

DOI10.1007/BF02310532zbMath0761.65013OpenAlexW132598518MaRDI QIDQ1195954

R. Strauss, H. W. Stolle

Publication date: 11 January 1993

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02310532

zbMATH Keywords

numerical resultserror estimatesquadratureCauchy principal value integralsfinite-part integralsstrongly singular integralsdouble-pole singularities

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)

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Modified compound quadrature rules for strongly singular integrals, Numerical evaluation of hypersingular integrals, A computation for tomographic reconstruction from projections, Asymptotically sharp error estimates for modified compound quadrature formulae for Cauchy principal value integrals, 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, Error bounds for spline-based quadrature methods for strongly singular integrals, A semi-analytical approach to Green's functions for heat equation in regions of irregular shape, A note on spline approximation for Hadamard finite-part integrals

Cites Work

• On the approximate computation of certain strongly singular integrals
• The numerical evaluation of Hadamard finite-part integrals
• Applications of finite-part integrals to the singular integral equations of crack problems in plane and three-dimensional elasticity
• On the solution of integral equations with strongly singular kernels
• Error Estimates for Three Methods of Evaluating Cauchy Principal Value Integrals
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