Gaussian rational quadrature formulas for ill-scaled integrands
✍ Scribed by J.R. Illán González
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 342 KB
- Volume
- 233
- Category
- Article
- ISSN
- 0377-0427
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📜 SIMILAR VOLUMES
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
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