Skip to main content

Good approximation by splines with variable knots. II

Part of the Lecture Notes in Mathematics book series (LNM,volume 363)

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.

References

  1. C. de Boor, Good approximation by splines with variable knots, in "Spline functions and approximation theory", A. Meir and A. Sharma ed., ISNM Vol. 21, Birkhäuser Verlag, Basel (1973), 57–72.

    CrossRef  Google Scholar 

  2. C. de Boor and B. Swartz, Collocation at Gaussian points, SIAM J. Numer. Anal. 10 (1973).

    Google Scholar 

  3. H. Burchard, Splines (with optimal joints) are better, to appear in J. Applicable Math. 1.

    Google Scholar 

  4. D. S. Dodson, Optimal order approximation by polynomial spline functions, Ph.D. Thesis, Purdue Univ., Lafayette, Ind., Aug. 1972.

    Google Scholar 

  5. D. E. McClure, Feature selection for the analysis of line patterns, Ph.D. Thesis, Brown Univ., Providence, R. I., 1970.

    Google Scholar 

  6. G. M. Phillips, Error estimates for best polynomial approximation, in "Approximation Theory", A. Talbot ed., Academic Press, London (1970), 1–6.

    Google Scholar 

  7. J. R. Rice, On the degree of convergence of nonlinear spline approximation, in "Approximations with special emphasis on spline functions", I. J. Schoenberg ed., Academic Press, New York (1969), 349–365.

    Google Scholar 

  8. R. D. Russell and L. F. Shampine, A collocation method for boundary value problems, Numer. Math. 19 (1972), 1–28.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. E. G. Sewell, Automatic generation of triangulations for piecewise polynomial approximation, Ph.D. Thesis, Purdue Univ, Lafayette, Ind., Dec. 1972.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1974 Springer-Verlag

About this paper

Cite this paper

de Boor, C. (1974). Good approximation by splines with variable knots. II. In: Watson, G.A. (eds) Conference on the Numerical Solution of Differential Equations. Lecture Notes in Mathematics, vol 363. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069121

Download citation

  • DOI: https://doi.org/10.1007/BFb0069121

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06617-0

  • Online ISBN: 978-3-540-37914-0

  • eBook Packages: Springer Book Archive