PVTSI$$^{{{(m)}}}$$: A novel approach to computation of Hadamard finite parts of nonperiodic singular integrals

Author:

Sidi AvramORCID

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Algebra and Number Theory

Reference38 articles.

1. Beckers, M., Haegemans, A.: Transformations of integrands for lattice rules. In: Espelid, T.O., Genz, A. (eds.) Numerical Integration: Recent Developments. Software and Applications, NATO ASI, pp. 329–340. Kluwer Academic Publishers, Boston (1992)

2. Choi, U.J., Kim, S.W., Yun, B.I.: Improvement of the asymptotic behavior of the Euler–Maclaurin formula for Cauchy principal value and Hadamard finite-part integrals. Int. J. Numer. Methods Eng. 61, 496–513 (2004)

3. Davis, P.J., Rabinowitz, P.: Methods of Numerical Integration, 2nd edn. Academic Press, New York (1984)

4. Elliott, D.: Sigmoidal transformations and the trapezoidal rule. J. Austral. Math. Soc. B(E) 40(E), E77–E137 (1998)

5. Elliott, D.: Sigmoidal-trapezoidal quadrature for ordinary and Cauchy principal value integrals. ANZIAM J. 46(E), E1–E69 (2004)

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