Skip to main content

Approximation order from smooth bivariate PP functions

  • Conference paper
  • First Online:
Numerical Analysis

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

  • 824 Accesses

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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. 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.

    Article  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.

    Article  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.

    Article  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

David F. Griffiths

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

Publish with us

Policies and ethics