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

Avram Sidi

doi:10.1007/s10092-021-00422-9

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

CALCOLO ◽

10.1007/s10092-021-00422-9 ◽

2021 ◽

Vol 58 (2) ◽

Author(s):

Avram Sidi

Keyword(s):

Singular Integrals ◽

Numerical Quadrature ◽

Quadrature Formulas ◽

Periodic Functions

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Exactness and convergence properties of some recent numerical quadrature formulas for supersingular integrals of periodic functions

CALCOLO ◽

10.1007/s10092-021-00414-9 ◽

2021 ◽

Vol 58 (3) ◽

Author(s):

Avram Sidi

Keyword(s):

Numerical Quadrature ◽

Quadrature Formulas ◽

Periodic Functions ◽

Convergence Properties

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Approximating periodic functions in Hölder type metrics by singular integrals with positive Kernels

Journal of Mathematical Sciences ◽

10.1007/s10958-008-0120-2 ◽

2008 ◽

Vol 150 (3) ◽

pp. 2034-2044

Author(s):

A. S. Zhuk

Keyword(s):

Singular Integrals ◽

Periodic Functions ◽

Positive Kernels

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Chapter 13. Quadrature formulas of the method of discrete vortices for one-dimensional singular integrals

Singular Integral Equations and Discrete Vortices ◽

10.1515/9783110926040-014 ◽

1996 ◽

pp. 236-264

Keyword(s):

Singular Integrals ◽

Quadrature Formulas ◽

One Dimensional

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Comparison of some numerical quadrature formulas for weakly singular periodic Fredholm integral equations

Computing ◽

10.1007/bf02241859 ◽

1989 ◽

Vol 43 (2) ◽

pp. 159-170 ◽

Cited By ~ 6

Author(s):

Avram Sidi

Keyword(s):

Integral Equations ◽

Numerical Quadrature ◽

Quadrature Formulas ◽

Fredholm Integral Equations ◽

Weakly Singular

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Some results in lumped mass finite-element approximation of eigenvalue problems using numerical quadrature formulas

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(92)90016-q ◽

1992 ◽

Vol 43 (3) ◽

pp. 291-311 ◽

Cited By ~ 17

Author(s):

A.B. Andreev ◽

V.A. Kascieva ◽

M. Vanmaele

Keyword(s):

Finite Element ◽

Eigenvalue Problems ◽

Finite Element Approximation ◽

Numerical Quadrature ◽

Quadrature Formulas ◽

Element Approximation ◽

Lumped Mass

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Quadrature formulas and the Poincare-Bertrand formula for singular integrals

Siberian Mathematical Journal ◽

10.1007/bf00968465 ◽

1981 ◽

Vol 21 (6) ◽

pp. 787-797

Author(s):

I. K. Lifanov

Keyword(s):

Singular Integrals ◽

Quadrature Formulas

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Best quadrature formulas on classes of differentiable periodic functions

Mathematical Notes ◽

10.1007/bf01093812 ◽

1969 ◽

Vol 6 (4) ◽

pp. 740-744 ◽

Cited By ~ 3

Author(s):

N. E. Lushpai

Keyword(s):

Quadrature Formulas ◽

Periodic Functions

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Coefficient evaluation and error estimation 0f interpolation quadrature formulas for the simplest cauchy-type integrals and singular integrals along an open contour

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(72)90044-4 ◽

1972 ◽

Vol 12 (3) ◽

pp. 219-232

Author(s):

G.N. Pykhteev

Keyword(s):

Error Estimation ◽

Singular Integrals ◽

Quadrature Formulas ◽

Cauchy Type ◽

Cauchy Type Integrals ◽

Open Contour

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Quadrature Formulas of Quasi-Interpolation Type for Singular Integrals with Hilbert Kernel

Journal of Approximation Theory ◽

10.1006/jath.1998.3166 ◽

1998 ◽

Vol 93 (2) ◽

pp. 231-257 ◽

Cited By ~ 7

Author(s):

Du Jinyuan

Keyword(s):

Singular Integrals ◽

Quadrature Formulas ◽

Hilbert Kernel

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Analysis of errors in some recent numerical quadrature formulas for periodic singular and hypersingular integrals via regularization

Applied Numerical Mathematics ◽

10.1016/j.apnum.2014.02.011 ◽

2014 ◽

Vol 81 ◽

pp. 30-39 ◽

Cited By ~ 4

Author(s):

Avram Sidi

Keyword(s):

Numerical Quadrature ◽

Quadrature Formulas ◽

Hypersingular Integrals

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