✦ LIBER ✦

Numerical calculation of singular integrals related to Hankel transform

✍ Scribed by F. Feuillebois

Publisher: Elsevier Science
Year: 1991
Tongue: English
Weight: 356 KB
Volume: 21
Category: Article
ISSN: 0898-1221
DOI: 10.1016/0898-1221(91)90085-i

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A composite transformation for numerical

A composite transformation for numerical integration of singular integrals in the BEM

✍ Beong In Yun 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 149 KB

Inversion of Fractional Integrals Relate

Inversion of Fractional Integrals Related to the Spherical Radon Transform

✍ Boris Rubin 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 317 KB

Explicit inversion formulas are obtained for the analytic family of fractional integrals (T : f )(x)=# n, : S n |xy| :&1 f ( y) dy on the unit sphere in R n+1 . Arbitrary complex : and n 2 are considered. In the ease :=0 the integral T : f coincides with the spherical Radon transform. For :>1 (:{1,

Gaussian quadrature formulas for the num

Gaussian quadrature formulas for the numerical calculation of integrals with logarithmic singularity

✍ R Pifssens; M.M Cyiawla; N Jayarajan 📂 Article 📅 1976 🏛 Elsevier Science 🌐 English ⚖ 189 KB

Integration formulas for numerical calcu

Integration formulas for numerical calculation of the Schwarz–Christoffel conformal transformation

✍ E. Costamagna 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 166 KB 👁 2 views

The results of ¨arious quadrature rules suitable to compute the Schwarz᎐Christoffel formula are briefly discussed, and a formal integration rule is introduced for an important particular case, leading to compound quadrature procedures that are faster and more accurate than traditional ones.

On non-linear transformations for accura

On non-linear transformations for accurate numerical evaluation of weakly singular boundary integrals

✍ Krishna M. Singh; Masataka Tanaka 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 171 KB

## Abstract This paper presents a study of the performance of the non‐linear co‐ordinate transformations in the numerical integration of weakly singular boundary integrals. A comparison of the smoothing property, numerical convergence and accuracy of the available non‐linear polynomial transformati

Application of sigmoidal transformations

Application of sigmoidal transformations to weakly singular and near-singular boundary element integrals

✍ Peter R. Johnston 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 128 KB

Accurate numerical determination of line integrals is fundamental to reliable implementation of the boundary element method. For a source point distant from a particular element, standard Gaussian quadrature is adequate, as well as being the technique of choice. However, when the integrals are weakl