Uniform convergence of optimal order quadrature rules for Cauchy principal value integrals
β Scribed by Kai Diethelm
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 491 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0377-0427
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π SIMILAR VOLUMES
Cauchy principal value integrals are evaluated by the IMT quadrature scheme, which like the TANH quadrature scheme is essentially a trapezoidal scheme, after making a transformation of the variable of integration. Numerical results for some test problems demonstrate that the IMT scheme is superior t
We consider the general (composite) Newton-Cotes method for the computation of Cauchy principal value integrals and focus on its pointwise superconvergence phenomenon, which means that the rate of convergence of the Newton-Cotes quadrature rule is higher than what is globally possible when the singu