Exponential convergence of some recent numerical quadrature methods for Hadamard finite parts of singular integrals of periodic analytic functions

DOI10.1007/s10092-022-00477-2OpenAlexW4308493779WikidataQ115606192 ScholiaQ115606192MaRDI QIDQ2095515

Avram Sidi

Publication date: 17 November 2022

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-022-00477-2

zbMATH Keywords

Cauchy principal valuesingular integralsnumerical quadratureHadamard finite parthypersingular integralssupersingular integralstrapezoidal-like rules

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Fredholm integral equations (45B05) Euler-Maclaurin formula in numerical analysis (65B15) Numerical integration (65D30) Integral equations with kernels of Cauchy type (45E05)

Related Items (2)

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Euler-Maclaurin expansions for integrals with endpoint singularities: A new perspective
• 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
• \(\mathrm{PVTSI}^{(m)}\): a novel approach to computation of Hadamard finite parts of nonperiodic singular integrals
• The special functions and their approximations. Vol. I, II
• Euler–Maclaurin expansions for integrals with arbitrary algebraic endpoint singularities
• The Riesz energy of the N th roots of unity: an asymptotic expansion for large N
• Practical Extrapolation Methods

This page was built for publication: Exponential convergence of some recent numerical quadrature methods for Hadamard finite parts of singular integrals of periodic analytic functions