Skip to main content
SpringerLink
Log in

Collocation and perturbed collocation methods

  • Conference paper
  • First Online:
Numerical Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 773))

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.99
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. BURRAGE K.; "A special family of Runge-Kutta methods for solving stiff differential equations". BIT 18 (1978) 22–41.

    Article  MathSciNet  MATH  Google Scholar 

  2. BUTCHER J.C.; "Coefficients for the study fo Runge-Kutta integration processes". J.Austral. Math. Soc. 3 (1963) 185–201.

    Article  MathSciNet  MATH  Google Scholar 

  3. BUTCHER J.C.; "Implicit Runge-Kutta processes". Math. Comp. 18 (1964) 50–64.

    Article  MathSciNet  MATH  Google Scholar 

  4. BUTCHER J.C.; "Integration processes based on Radau quadrature formulas". Math. Comp. 18 (1964) 233–243.

    Article  MathSciNet  MATH  Google Scholar 

  5. CHIPMAN F.H.; "A-stable Runge-Kutta Processes". BIT 11 (1971) 384–388.

    Article  MathSciNet  MATH  Google Scholar 

  6. EHLE B.L.; "High order A-stable methods for the numerical solution of D.E.’s". BIT 8 (1968) 276–278.

    Article  MathSciNet  MATH  Google Scholar 

  7. GUILLON A., SOULE F.L.; "La resolution numerique des problèmes differentielles aux conditions initials par des méthodes de collocation." R.A.I.R.O. 3 (1969) 17–44.

    MATH  Google Scholar 

  8. HAIRER E., WANNER G.; "Multistep-multistage-multiderivative methods and ordinary diff.eq". Computing 11 (1973) 287–303.

    Article  MathSciNet  MATH  Google Scholar 

  9. HAIRER E., WANNER G.; "On the Butcher group and general multivalue methods". Computing 13 (1974) 1–15.

    Article  MathSciNet  MATH  Google Scholar 

  10. HULME B.L.; "One-step piecewise polynomial Galerkin methods for initial value methods". Math. Comp. 26 (1972) 415–426.

    Article  MathSciNet  MATH  Google Scholar 

  11. HULME B.L.; "Discrete Galerkin and related one-step methods for ordinary differential equations". Math. Comp. 26 (1972) 881–891.

    Article  MathSciNet  MATH  Google Scholar 

  12. LINK B.D.; "Numerical solution of stiff. o.d.e.’s using collocation methods". Rep. 76–813, Dept. of Comp. Science, Univ. of Illinois, U.S.A.

    Google Scholar 

  13. NØRSETT, S.P., WANNER G.; "Perturbed collocation and Runge-Kutta methods". Submitted Num. math.

    Google Scholar 

  14. NØRSETT S.P., WANNER G.; "The real-pole sandwich for rational approximations and oscillation equations". BIT 19 (1979) 79–94.

    Article  MathSciNet  MATH  Google Scholar 

  15. WRIGHT K.; "Some relationships between implicit Runge-Kutta, collocation and Lanczos τ-method, and their ability properties". BIT 10 (1970) 217–227.

    Article  MATH  Google Scholar 

Download references

Authors
  1. Syvert P. Norsett
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

G. Alistair Watson

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag

About this paper

Cite this paper

Norsett, S.P. (1980). Collocation and perturbed collocation methods. In: Watson, G.A. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 773. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0094168

Download citation

  • DOI: https://doi.org/10.1007/BFb0094168

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09740-2

  • Online ISBN: 978-3-540-38562-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation