A convenient GaussαLaguerre quadrature formula is presented for integrands which depend on the radial coordinates r and r of two bodies as well as on 1 2 their relative distance r . This formula generalizes the analytic method by Calais and 12 w Ε½ .x Lowdin J. Mol. Spectrosc. 8, 203 1962 to cases w
A quadrature formula for integrals with nearby singularities
β Scribed by G. Tsamasphyros; E. E. Theotokoglou
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 109 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.1649
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π SIMILAR VOLUMES
In this paper, we first establish quadrature formulas of trigonometric interpolation type for proper integrals of periodic functions with periodic weight, then we use the method of separation of singularities to derive those for corresponding singular integrals with Hilbert kernel. The trigonometric
## Abstract Two trigonometric quadrature formulae, one of nonβinterpolatory 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