Skip to main content

Approximation order from smooth bivariate PP functions

  • 780 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1066)

Keywords

  • Approximation Order
  • Approximation Power
  • Spline Space
  • Bivariate Function
  • Finite Linear Combination

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.

References

  1. C. de Boor, Topics in multivariate approximation theory, MRC TSR 2379 (1982); in "Topics in Numerical Analysis", P.R. Turner ed., Springer Lecture Notes in Mathematics 965, 1982, 39–78.

    Google Scholar 

  2. C. de Boor & R. DeVore, Approximation by smooth multivariate splines, Trans.Amer.Math.Soc. 276 (1982) 775–788.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. C. de Boor & K. Hőllig, B-splines from parallelepipeds, MRC TSR 2320 (1982); J.d’Analyse Math., to appear.

    Google Scholar 

  4. C. de Boor & K. Hőllig, Bivariate box splines and smooth pp functions on a three-direction mesh, J.Comput.Applied Math. 9 (1983) 13–28.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. C. de Boor & K. Hőllig, Approximation order from bivariate C1-cubics: A counterexample, Proc.Amer. Math.Soc. 85 (1982) 397–400.

    CrossRef  MathSciNet  Google Scholar 

  6. W. Dahmen & C. A. Micchelli, On the approximation order from certain multivariate spline spaces, preprint, 1983.

    Google Scholar 

  7. W. Dahmen & C. A. Micchelli, Recent progress on multivariate splines, to appear in "Approximation Theory IV", C. K. Chui, L. L. Schumaker and J. D. Ward eds., Academic Press, 1983.

    Google Scholar 

  8. R.-q. Jia, Approximation by smooth bivariate splines on a three-direction mesh, MRC TSR 2494 (1983); To appear in "Approximation Theory IV", C. K. Chui, L. L. Schumaker and J. D. Ward eds., Academic Press, 1983.

    Google Scholar 

  9. R.-q. Jia, On the controlled approximation order from certain spaces of smooth bivariate splines, MRC TSR xxxx (1983).

    Google Scholar 

  10. G. Strang & G. Fix, A Fourier analysis of the finite element variational method, C.I.M.E.II, Ciclo Erice, 1971.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

de Boor, C. (1984). Approximation order from smooth bivariate PP functions. In: Griffiths, D.F. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 1066. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099517

Download citation

  • DOI: https://doi.org/10.1007/BFb0099517

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13344-5

  • Online ISBN: 978-3-540-38881-4

  • eBook Packages: Springer Book Archive