Unified compact numerical quadrature formulas for Hadamard finite parts of singular integrals of periodic functions

DOI10.1007/s10092-021-00407-8zbMath1472.65031arXiv2102.06461OpenAlexW3158840818WikidataQ113904822 ScholiaQ113904822MaRDI QIDQ2044083

Avram Sidi

Publication date: 4 August 2021

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.06461

zbMATH Keywords

singular integralsnumerical quadratureasymptotic expansionsHadamard finite parttrapezoidal rulehypersingular integralsgeneralized Euler-Maclaurin expansionssupersingular integrals

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximate quadratures (41A55) Numerical integration (65D30)

Related Items (6)

Spectrally accurate numerical quadrature formulas for a class of algebraically singular periodic Hadamard finite part integrals by regularization ⋮ A NUMERICAL METHOD FOR SOLVING A COMPLETE HYPERSINGULAR INTEGRAL EQUATION OF THE SECOND KIND AND ITS JUSTIFICATION ⋮ 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 ⋮ 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

Uses Software

• DLMF

Cites Work

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