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Gaussian quadratures for oscillatory integrands

✍ Scribed by G.V. Milovanović; A.S. Cvetković; M.P. Stanić

Book ID
108052293
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
237 KB
Volume
20
Category
Article
ISSN
0893-9659

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📜 SIMILAR VOLUMES

Weighted Gaussian quadratures for singul
Weighted Gaussian quadratures for singular and near -singular integrands
✍ Peter P. Silvester 📂 Article 📅 1989 🏛 John Wiley and Sons 🌐 English ⚖ 636 KB

Numerical quadratures encountered in solving integral equations and in finite element analysis often involve singular integrands, or integrands with very rapid local variation whose numerical stability resembles that of singularities. It is shown that specialized quadrature formulae of Gauss-Christo

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✍ Peter M. W. Gill; Siu-Hung Chien 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 96 KB

## Abstract We introduce a Gaussian quadrature, based on the polynomials that are orthogonal with respect to the weight function ln^2^__x__ on the interval [0, 1], which is suitable for the evaluation of radial integrals. The quadrature is exact if the non‐Jacobian part of the integrand is a linear

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✍ Yue-Kuen Kwok; Kin-Kiu Tam 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 179 KB

The conventional trapezoidal approximation for the numerical evaluation of the integral formula for the Dirichlet problem inside the unit disc becomes highly inaccurate when the point of evaluation is approaching the boundary of the circular domain. This is due to the presence of two nearby poles of