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Remainder Estimates for Analytic Functions

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Numerical Integration

Part of the book series: NATO ASI Series ((ASIC,volume 357))

Abstract

A survey is given on contour integration methods for estimating the remainder of quadrature rules involving analytic functions. In addition to historical remarks, recent results are summarized concerning the remainder of Gauss-type formulae.

This work was supported in part by the National Science Foundation under grant DMS-9023403.

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Author information

Authors and Affiliations

  1. Department of Computer Sciences, Purdue University, West Lafayette, IN, 47907-1398, USA

    Walter Gautschi

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  1. Walter Gautschi
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Editors and Affiliations

  1. Department of Informatics, University of Bergen, Bergen, Norway

    Terje O. Espelid

  2. School of Electrical Engineering and Computer Science, Washington State University, Pullman, WA, USA

    Alan Genz

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© 1992 Springer Science+Business Media Dordrecht

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Gautschi, W. (1992). Remainder Estimates for Analytic Functions. In: Espelid, T.O., Genz, A. (eds) Numerical Integration. NATO ASI Series, vol 357. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2646-5_11

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  • DOI: https://doi.org/10.1007/978-94-011-2646-5_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5169-9

  • Online ISBN: 978-94-011-2646-5

  • eBook Packages: Springer Book Archive

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