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The superconvergence of composite Newton–Cotes rules for Hadamard finite-part integral on a circle

✍ Scribed by Xiaoping Zhang; Jiming Wu; Dehao Yu


Publisher
Springer Vienna
Year
2009
Tongue
English
Weight
356 KB
Volume
85
Category
Article
ISSN
0010-485X

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The superconvergence of the composite mi
✍ Jiming Wu; Zihuan Dai; Xiaoping Zhang 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 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