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

Computing ◽

10.1007/bf02241859 ◽

1989 ◽

Vol 43 (2) ◽

pp. 159-170 ◽

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 ◽

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 ◽

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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 ◽

Author(s):

N. E. Lushpai

Keyword(s):

Quadrature Formulas ◽

Periodic Functions

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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 ◽

Author(s):

Avram Sidi

Keyword(s):

Numerical Quadrature ◽

Quadrature Formulas ◽

Hypersingular Integrals

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On optimal quadrature formulas in the space of periodic functions

Applications of Mathematics ◽

10.21136/am.1966.103027 ◽

1966 ◽

Vol 11 (4) ◽

pp. 259-265

Author(s):

Ivo Babuška

Keyword(s):

Quadrature Formulas ◽

Periodic Functions ◽

Optimal Quadrature ◽

Optimal Quadrature Formulas

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Algorithm for construction of quadrature formulas with exponential convergence for linear operators acting on periodic functions

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika ◽

10.26907/0021-3446-2021-2-86-92 ◽

2021 ◽

pp. 86-92

Author(s):

Alexander Georgievich Petrov ◽

Keyword(s):

Exponential Convergence ◽

Linear Operators ◽

Quadrature Formulas ◽

Periodic Functions

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Compact Numerical Quadrature Formulas for Hypersingular Integrals and Integral Equations

Journal of Scientific Computing ◽

10.1007/s10915-012-9610-y ◽

2012 ◽

Vol 54 (1) ◽

pp. 145-176 ◽

Author(s):

Avram Sidi

Keyword(s):

Integral Equations ◽

Numerical Quadrature ◽

Quadrature Formulas ◽

Hypersingular Integrals

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Richardson Extrapolation on Some Recent Numerical Quadrature Formulas for Singular and Hypersingular Integrals and Its Study of Stability

Journal of Scientific Computing ◽

10.1007/s10915-013-9788-7 ◽

2013 ◽

Vol 60 (1) ◽

pp. 141-159 ◽

Author(s):

Avram Sidi

Keyword(s):

Richardson Extrapolation ◽

Numerical Quadrature ◽

Quadrature Formulas ◽

Hypersingular Integrals

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COMPARISON OF NUMERICAL QUADRATURE FORMULAS.

10.2172/4757834 ◽

1969 ◽

Author(s):

D Kahaner

Keyword(s):

Numerical Quadrature ◽

Quadrature Formulas

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