Spectrally accurate numerical quadrature formulas for a class of algebraically singular periodic Hadamard finite part integrals by regularization

DOI10.1016/J.CAM.2023.115581OpenAlexW4386954966MaRDI QIDQ6126005

Avram Sidi

Publication date: 9 April 2024

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2023.115581

zbMATH Keywords

trigonometric interpolationnumerical quadratureFourier seriesHadamard finite partperiodic integralsdivergent singular integrals

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Euler-Maclaurin formula in numerical analysis (65B15) Numerical integration (65D30)

Cites Work

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• Definitions, properties and applications of finite-part integrals
• An algorithm for a special case of a generalization of the Richardson extrapolation process
• Compact numerical quadrature formulas for hypersingular integrals and integral equations
• Unified compact numerical quadrature formulas for Hadamard finite parts of singular integrals of periodic functions
• Exactness and convergence properties of some recent numerical quadrature formulas for supersingular integrals of periodic functions
• Exponential convergence of some recent numerical quadrature methods for Hadamard finite parts of singular integrals of periodic analytic functions
• Spectrally accurate numerical quadrature formulas for a class of periodic Hadamard finite part integrals by regularization
• Euler–Maclaurin expansions for integrals with arbitrary algebraic endpoint singularities
• Practical Extrapolation Methods

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