Taylor expansion method for integrals with algebraic-logarithmic singularities

DOI10.1080/00207160.2011.553673zbMath1229.65052OpenAlexW1972670556MaRDI QIDQ3101646

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Publication date: 29 November 2011

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

Full work available at URL: https://doi.org/10.1080/00207160.2011.553673

zbMATH Keywords

singular integralnumerical examplesTaylor polynomialsalgebraic-logarithmic singularity

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Cites Work

• Numerical integration of functions with poles near the interval of integration
• Computing integral transforms and solving integral equations using Chebyshev polynomial approximations
• Quadrature rule for indefinite integral of algebraic-logarithmic singular integrands
• High order methods for weakly singular integral equations with nonsmooth input functions

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