Skip to main content
SpringerLink
Log in

Expansions in power series by computer

  • Published:
Celestial mechanics Aims and scope Submit manuscript

Abstract

The paper describes a technique of expanding power series solutions to sets of equations that can be applied formally to a set of equations by a ‘compiler’ type program. A program suitable for an algebra system is generated that when run will produce the power series expansions by recurrence relations. Examples are given from Celestial mechanics.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Barton, D. and Fitch, J. P.: 1972,Rep. Prog. Phys. 35, 235.

    Google Scholar 

  • Barton, D., Willers, I. M., and Zahar, R. V. M.: 1971,Comp. J. 14, 243.

    Google Scholar 

  • Fitch, J. P.: 1975,CAMAL Users Manual, University of Cambridge Computer Laboratory, Cambridge, England.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Missouri, St. Louis, Mo., USA

    D. Barton

Authors
  1. D. Barton
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Barton, D. Expansions in power series by computer. Celestial Mechanics 20, 3–18 (1979). https://doi.org/10.1007/BF01236605

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01236605

Keywords

Search

Navigation