Exactness and convergence properties of some recent numerical quadrature formulas for supersingular integrals of periodic functions
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Publication:2044775
DOI10.1007/S10092-021-00414-9zbMath1487.65027arXiv2102.06469OpenAlexW3180839999WikidataQ113904821 ScholiaQ113904821MaRDI QIDQ2044775
Publication date: 10 August 2021
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.06469
Related Items (5)
Spectrally accurate numerical quadrature formulas for a class of algebraically singular periodic Hadamard finite part integrals by regularization ⋮ Unified compact numerical quadrature formulas for Hadamard finite parts of singular 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
Cites Work
- Quadrature methods for periodic singular and weakly singular Fredholm integral equations
- A unified approach with spectral convergence for the evaluation of hypersingular and supersingular integrals with a periodic kernel
- 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
- Euler–Maclaurin expansions for integrals with arbitrary algebraic endpoint singularities
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