Skip to main content

Extrapolation methods for the solution of initial value problems and their practical realization

Part of the Lecture Notes in Mathematics book series (LNM,volume 362)

Keywords

  • Ordinary Differential Equation
  • Function Call
  • Extrapolation Method
  • Multistep Method
  • Order Ordinary Differential Equation

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   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
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.

References

  1. R. Bulirsch and J. Stoer, "Fehlerabschätzungen und Extrapolation mit rationalen Funktionen bei Verfahren von Richardson-Typus," Num. Math.(1964), 6, 413–427

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. R. Bulirsch and J. Stoer, "Numerical Treatment of Ordinary Differential Equations by Extrapolation Methods," Num. Math.(1966), 8, 1–13

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. N.W. Clark, "A Study of Some Numerical Methods for the Integration of Systems of First Order Ordinary Differential Equations," Report ANL-7428, March 1968, Argonne National Laboratory

    Google Scholar 

  4. P.C. Crane and P.A. Fox, "A Comparative Study of Computer Programs for Integrating Differential Equations," Numerical Mathematics Computer Program Library One-Basic routines for general use, 1969, Vol. 2, issue 2, Bell Telephone Laboratories Inc., Murray Hill, New Jersey

    Google Scholar 

  5. H.L. Durham, O.B. Francis, L.J. Gallaher, H.G. Hale, and I.E. Perlin, "Study of Methods for the Numerical Solution of Ordinary Differential Equations," NASA-CR-57430, 1964, Huntsville, Alabama

    Google Scholar 

  6. W.B. Gragg, "Repeated Extrapolation to the Limit in the Numerical Solution of Ordinary Differential Equations," Thesis UCLA (1963)

    Google Scholar 

  7. W.B. Gragg, "On Extrapolation Algorithms for Ordinary Initial Value Problems," J. SIAM Numer. Anal.(1965), Ser. B 2, 384–403

    Google Scholar 

  8. T.E. Hull, W.H. Enright, B.M. Fellen, and A.E. Sedgwick, "Comparing Numerical Methods for Ordinary Differential Equations," J. SIAM Numer. Anal. (1972), 9, 603–637

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1974 Springer-Verlag

About this paper

Cite this paper

Stoer, J. (1974). Extrapolation methods for the solution of initial value problems and their practical realization. In: Bettis, D.G. (eds) Proceedings of the Conference on the Numerical Solution of Ordinary Differential Equations. Lecture Notes in Mathematics, vol 362. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066583

Download citation

  • DOI: https://doi.org/10.1007/BFb0066583

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06602-6

  • Online ISBN: 978-3-540-37911-9

  • eBook Packages: Springer Book Archive