Some Reflections on the Euler-Maclaurin Sum Formula

  • Donald Kershaw
Part of the ISNM 57: International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique book series (ISNM, volume 57)


This is a companion paper to the one of almost the same title published in the proceedings of the previous conference on ‘Numerische Integration’. In that paper the classical Euler-Maclaurin formula was analysed and generalized to give a variety of quadrature formulae in both one and more than one dimension. In the present contribution a similar approach will be made to investigate sum formulae. Due to restrictions on space only the one dimensional situation will be explored here. It is hoped to publish the investigations on formulae in two dimensions elsewhere.


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  1. 1.
    G. Hämmerlin (editor). Numerische Integration. Birkhäuser Verlag. ISNM 45 (1979).Google Scholar
  2. 2.
    V.L. Krylov. Approximate calculation of integrals. Macmillan. 1962.Google Scholar

Copyright information

© Springer Basel AG 1982

Authors and Affiliations

  • Donald Kershaw
    • 1
  1. 1.University of LancasterUK

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