Results 131 to 140 of about 1,238 (176)

On Generalized Gaussian Quadrature Rules for Singular and Nearly Singular Integrals

open access: yesSIAM Journal on Numerical Analysis, 2009
We construct and analyze generalized Gaussian quadrature rules for integrands with endpoint singularities or near endpoint singularities. The rules have quadrature points inside the interval of integration, and the weights are all strictly positive. Such rules date back to the study of Chebyshev sets, but their use in applications has only recently ...
Daan Huybrechs, Ronald Cools
exaly   +3 more sources

Weighted averaged Gaussian quadrature rules for modified Chebyshev measures

open access: yesApplied Numerical Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dusan Lj Djukic   +2 more
exaly   +6 more sources

Gaussian Quadrature Rules with Simple Node-Weight Relations

open access: yesNumerical Algorithms, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
E. X. L. de Andrade   +2 more
openaire   +4 more sources

Internality of Averaged Gaussian Quadrature Rules

open access: yes, 2023
The averaged and optimal averaged quadrature rules provide a convenient method of approximating the error in the Gauss quadrature. However, they are fully applicable only if their nodes are internal. We discuss two approaches to determine averaged quadrature rules with internal nodes: (i) truncating the Jacobi matrix associated with the optimal ...
Đukić, Dušan   +3 more
core   +3 more sources

Generalized Gaussian Quadrature Rules for Systems of Arbitrary Functions

SIAM Journal on Numerical Analysis, 1996
The authors present a numerical algorithm for the construction of generalized Gaussian quadrature rules for a Chebyshev system on the interval \([a,b]\), originally introduced by \textit{S. Karlin} and \textit{W. J. Studden} [Tchebycheff systems: With applications in analysis and statistics (1966; Zbl 0153.38902)].
V Rokhlin, S Wandzura
exaly   +3 more sources

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