Skip to main content

Prädiktoren mit vorgeschriebenem Stabilitätsverhalten

Part of the Lecture Notes in Mathematics book series (LNM,volume 631)

Keywords

  • Sten
  • Darge

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literatur

  1. Creedon, D.M./Miller, J.J.H.: The stability properties of q-step backward difference schemes. BIT 15 (1975), S. 244–249.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Cryer, W.W.: A new class of highly-stable methods: A0-stable methods. BIT 13 (1973), S. 153–159.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Griepentrog, E.: Mehrschrittverfahren zur numerischen Integration von gewöhnlichen Differentialgleichungssystemen und asymptotische Exaktheit. Wiss. Z. Humboldt Univ. Berlin Math.-Natur.-Reihe, Jahrg. 19 (1970), S. 637–653.

    MathSciNet  MATH  Google Scholar 

  4. Hall, G.: Stability analysis of predictor-corrector algorithms of Adams type. SIAM J. Numer. Anal. 11 (1974), S. 494–505.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Henrici, P.: Discrete variable methods in ordinary differential equations. New York/London/Sydney: John Wiley 1962.

    MATH  Google Scholar 

  6. Lambert, J.D.: Computational methods in ordinary differential equations. London/New York/Sydney/Toronto: John Wiley 1973.

    MATH  Google Scholar 

  7. Loscalzo, F.R.: An introduction to the application of spline functions to initial value problems. In: Greville, T.N.E. (Hrsg.): Theory and applications of spline functions, New York/London: Academic Press 1969, S. 37–64.

    Google Scholar 

  8. Oesterhelt, G.: Mehrschrittverfahren zur numerischen Integration von Differentialgleichungssystemen mit stark verschiedenen Zeitkonstanten. Computing 13 (1974), S. 279–298.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. Piehler, G.: Theorie der Obrechkoff-Verfahren und die Behandlung von Anfangswertproblemen durch Spline-Interpolation nach Loscalzo. Diplomarbeit Bochum 1974.

    Google Scholar 

  10. Rodabaugh, D.J.: On stable correctors. Comp. J. 13 (1970), S. 98–100.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. Stetter, H.J.: Improved absolute stability of predictor-corrector schemes. Computing 3 (1968), S. 286–296.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. Stetter, H.J.: Analysis of discretization methods for ordinary differential equations. Berlin/Heidelberg/New York: Springer 1973.

    CrossRef  MATH  Google Scholar 

  13. Stoer, J./Bulirsch, R.: Einführung in die Numerische Mathematik II. Berlin/Heidelberg/New York: Springer 1973.

    CrossRef  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1978 Springer-Verlag

About this paper

Cite this paper

Mannshardt, R. (1978). Prädiktoren mit vorgeschriebenem Stabilitätsverhalten. In: Bulirsch, R., Grigorieff, R.D., Schröder, J. (eds) Numerical Treatment of Differential Equations. Lecture Notes in Mathematics, vol 631. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067465

Download citation

  • DOI: https://doi.org/10.1007/BFb0067465

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08539-3

  • Online ISBN: 978-3-540-35970-8

  • eBook Packages: Springer Book Archive