Product integration of singular integrands based on cubic spline interpolation at equally spaced nodes

DOI10.1007/BF01386400zbMath0685.65010MaRDI QIDQ1262072

Cattarina Dagnino

Publication date: 1990

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133438

zbMATH Keywords

interpolationcubic splineproduct integration rulessingular integrands

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)

Related Items (max. 100)

Numerical integration based on quasi-interpolating splines ⋮ On the uniform convergence of Cauchy principal values of quasi-interpolating splines ⋮ On the evaluation of Cauchy principal value integrals by rules based on quasi-interpolating splines ⋮ Numerical integration based on approximating splines ⋮ Spline product quadrature rules for Cauchy singular integrals ⋮ An algorithm for numerical integration based on quasi-interpolating splines

Cites Work

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• Product integration of logarithmic singular integrands based on cubic splines
• Numerical integration in the presence of an interior singularity
• Product integration of piecewise continuous integrands based on cubic spline interpolation at equally spaced nodes
• Product Integration in the Presence of a Singularity
• Convergence of Product Integration Rules for Functions With Interior and Endpoint Singularities Over Bounded and Unbounded Intervals
• Properties of Interpolatory Product Integration Rules
• Approximation by spline interpolating bases
• A practical guide to splines.

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