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Compact Numerical Quadrature Formulas for Hypersingular Integrals and Integral Equations

✍ Scribed by Avram Sidi

Book ID
111885086
Publisher
Springer US
Year
2012
Tongue
English
Weight
999 KB
Volume
54
Category
Article
ISSN
0885-7474

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πŸ“œ SIMILAR VOLUMES

Two trigonometric quadrature formulae fo
Two trigonometric quadrature formulae for evaluating hypersingular integrals
✍ Philsu Kim; U. Jin Choi πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 146 KB

## Abstract Two trigonometric quadrature formulae, one of non‐interpolatory type and one of interpolatory type for computing the hypersingular integral ${\int\hskip-0.33cm=}\_{-1}^{1} w(\tau)g(\tau)/(\tau-t)^{2} \,{\rm d}\tau$ are developed on the basis of trigonometric quadrature formulae for Cauc

Numerical integration schemes for the BE
Numerical integration schemes for the BEM solution of hypersingular integral equations
✍ A. Aimi; M. Diligenti; G. Monegato πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 226 KB πŸ‘ 3 views

In this paper we consider singular and hypersingular integral equations associated with 2D boundary value problems deΓΏned on domains whose boundaries have piecewise smooth parametric representations. In particular, given any (polynomial) local basis, we show how to compute e ciently all integrals re