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Sigmoidal transformations and the Euler-Maclaurin expansion for evaluating certain Hadamard finite-part integrals

✍ Scribed by David Elliott; Ezio Venturino

Publisher: Springer-Verlag
Year: 1997
Tongue: English
Weight: 141 KB
Volume: 77
Category: Article
ISSN: 0029-599X
DOI: 10.1007/s002110050295

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## Abstract In the recent works (__Commun. Numer. Meth. Engng__ 2001; **17**: 881; to appear), the superiority of the non‐linear transformations containing a real parameter __b__ ≠ 0 has been demonstrated in numerical evaluation of weakly singular integrals. Based on these transformations, we defin