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Newton-Cotes Formulae for the Numerical Evaluation of Certain Hypersingular Integrals

โœ Scribed by Weiwei Sun; Jiming Wu


Publisher
Springer Vienna
Year
2005
Tongue
English
Weight
113 KB
Volume
75
Category
Article
ISSN
0010-485X

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The superconvergence of the Newtonโ€“Cotes
โœ Dongjie Liu; Jiming Wu; Dehao Yu ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 345 KB

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