Three algorithms for Hadamard finite-part integrals and fractional derivatives

Improvement of the asymptotic behaviour

Improvement of the asymptotic behaviour of the Euler–Maclaurin formula for Cauchy principal value and Hadamard finite-part integrals

✍ U. Jin Choi; Shin Wook Kim; Beong In Yun 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 158 KB

## 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