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Integration-by-Parts: A Survey

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Anti-Differentiation and the Calculation of Feynman Amplitudes

Part of the book series: Texts & Monographs in Symbolic Computation ((TEXTSMONOGR))

Abstract

We present an overview of the field of Integration-By-Parts with special emphasis on Laporta’s algorithm. We give an overview of the problems associated with Laporta’s algorithm and try to illustrate possible ways out.

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Authors and Affiliations

  1. DESY, Zeuthen, Germany

    Peter Marquard

Authors
  1. Peter Marquard
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Correspondence to Peter Marquard .

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Editors and Affiliations

  1. Deutsches Elektronen-Synchrotron, DESY, Zeuthen, Germany

    Johannes Blümlein

  2. Research Institute for Symbolic Computation, Johannes Kepler University Linz, Linz, Austria

    Carsten Schneider

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Marquard, P. (2021). Integration-by-Parts: A Survey. In: Blümlein, J., Schneider, C. (eds) Anti-Differentiation and the Calculation of Feynman Amplitudes. Texts & Monographs in Symbolic Computation. Springer, Cham. https://doi.org/10.1007/978-3-030-80219-6_13

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  • DOI: https://doi.org/10.1007/978-3-030-80219-6_13

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  • Print ISBN: 978-3-030-80218-9

  • Online ISBN: 978-3-030-80219-6

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