Euler-Maclaurin expansions for integrals with endpoint singularities: A new perspective

Numerische Mathematik

Volumn 98, Issue 2, 2004, Pages 371-387

  Sidi, Avram ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4544369789     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-004-0539-4     Document Type: Review

References (11)

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4. Lyness, J.N., Ninham, B.W.: Numerical quadrature and asymptotic expansions. Math. Comp. 21, 162-178 (1967)
5. Monegato, G., Lyness, J.N.: The Euler-Maclaurin expansion and finite-part integrals. Numer. Math. 81, 273-291 (1998)
6. Navot, I.: An extension of the Euler-Maclaurin summation formula to functions with a branch singularity. J. Math. and Phys. 40, 271-276 (1961)
7. Navot, I.: A further extension of the Euler-Maclaurin summation formula. J. Math. and Phys. 41, 155-163 (1962)
8. Ninham, B.W.: Generalised functions and divergent integrals. Numer. Math. 8, 444-457 (1966)
9. Sidi, A.: Practical Extrapolation Methods: Theory and Applications. Number 10 in Cambridge Monographs on Applied and Computational Mathematics. Cambridge University Press, Cambridge, 2003
10. Steffensen, J.F.: Interpolation. Chelsea, New York, 1950
11. Verlinden, P.: Cubature formulas and asymptotic expansions. PhD thesis, Katholieke Universiteit Leuven, 1993. Supervised by A. Haegemans