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The Superconvergence of the Composite Trapezoidal Rule for Hadamard Finite Part Integrals

✍ Scribed by Jiming Wu; Weiwei Sun

Publisher
Springer-Verlag
Year
2005
Tongue
English
Weight
217 KB
Volume
102
Category
Article
ISSN
0029-599X

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πŸ“œ SIMILAR VOLUMES

The superconvergence of the composite mi
The superconvergence of the composite midpoint rule for the finite-part integral
✍ Jiming Wu; Zihuan Dai; Xiaoping Zhang πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 748 KB

The composite midpoint rule is probably the simplest one among the Newton-Cotes rules for Riemann integral. However, this rule is divergent in general for Hadamard finite-part integral. In this paper, we turn this rule to a useful one and, apply it to evaluate Hadamard finite-part integral as well a