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On the numerical analytic continuation of power series

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Constructive Theory of Functions of Several Variables

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 571))

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References

  1. Henrici, P., An algorithm for analytic continuation, SIAM J. Num. Anal. 3 (1966), 67–78.

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  2. Henrici, P., Applied and computational complex analysis, Vol. I, John Wiley, New York, 1974.

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  3. Klewin, R., Über die Anwendbarkeit von allgemeinen Euler-Verfahren bei der analytischen Fortsetzung, Dissertation, Universität Mannheim, 1974.

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  4. Niethammer, W., Ein numerisches Verfahren zur analytischen Fortsetzung, Num. Math. 21 (1973), 81–92.

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  5. Niethammer, W. and U. Schweitzer, On the numerical analytic continuation of power series with application to the two-body and three-body problems, Comput. Meth. in Appl. Mech. and Eng. 5 (1975), 239–249.

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  6. Powell, R.E. and S.M. Shah, Summability theory and applications, Van Nostrand, London, 1972.

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  7. Schweitzer, U., Über die Anwendung von Summationsmethoden bei der numerischen Lösung des Zwei-und Drei-Körper-Problems, Dissertation, Universität Mannheim, 1974.

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  8. Zeller, K. and W. Beekmann, Theorie der Limitierungsverfahren, Springer, Berlin-Heidelberg-New York, 1970.

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  9. Zelmer, G.K., Summation methods in the two-and three-body problems, Thesis, University of British Columbia, 1967.

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  10. Zelmer, G.K., (E,γ,α,β)-Summability and applications, Arch. Rat. Mech. Anal. 35 (1969), 211–219.

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Authors
  1. Wilhelm Niethammer
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Editors and Affiliations

  1. Lehrstuhl für Mathematik I, Universität Siegen, Hülderlinstraße 3, 5900, Siegen 21, BRD

    Walter Schempp

  2. Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 7400, TObingen 1, BRD

    Karl Zeller

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© 1977 Springer-Verlag Berlin · Heidelberg

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Niethammer, W. (1977). On the numerical analytic continuation of power series. In: Schempp, W., Zeller, K. (eds) Constructive Theory of Functions of Several Variables. Lecture Notes in Mathematics, vol 571. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086572

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  • DOI: https://doi.org/10.1007/BFb0086572

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08069-5

  • Online ISBN: 978-3-540-37496-1

  • eBook Packages: Springer Book Archive

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