Skip to main content

Interpolation of harmonic functions

  • 1686 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 571)

Keywords

  • Spherical Harmonic
  • Conformal Transformation
  • Product Formula
  • Interpolation Formula
  • Cubature Formula

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. ALBRECHT, J., L. COLLATZ: Zur numerischen Auswertung mehrdimensionaler Integrale. Z. Angew. Math. Mech. 38, 1958, 1–15.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. KRYLOV, V. I.: Approximate calculation of integrals. Macmillan, New York, 1962.

    MATH  Google Scholar 

  3. MCLAREN, A. D.: Optimal numerical integration on a sphere. Math. Comp. 17, 1963, 362–383.

    CrossRef  MathSciNet  Google Scholar 

  4. MÜLLER, C.: Spherical harmonics. Lecture Notes in Math. 17. Springer, Berlin, Heidelberg, New York, 1966.

    MATH  Google Scholar 

  5. SHAPIRO, H. S.: Topics in approximation theory. Lecture Notes in Math. 187. Springer, Berlin, Heidelberg, New York, 1966.

    Google Scholar 

  6. STROUD, A. H., KWAN-WEI CHEN, PING-LEI WANG and ZUNKWANG MAO: Some second and third degree harmonic interpolation formulas. SIAM J. Numer. Anal. 8, 1971, 681–692.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. STROUD, A. H.: Some seventh degree integration formulas for symmetric regions. SIAM J. Numer. Anal. 4, 1967, 37–44.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. STROUD, A. H.: A fifth degree integration formula for the n-simplex. SIAM J. Numer. Anal. 6, 1969, 90–98.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. STROUD, A. H.: Approximate calculation of multiple integrals. Prentice Hall, Englewood Cliffs, 1971.

    MATH  Google Scholar 

  10. STROUD, A. H.: Some cubature formulas for the surface of the n-sphere. SIAM J. Numer. Anal. 10, 1973, 559–569.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. SZEGÖ, G.: Orthogonal polynomials. Amer. Math. Soc. Coll. Publ. 23, Providence, 1959.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1977 Springer-Verlag Berlin · Heidelberg

About this paper

Cite this paper

Schmid, H.J. (1977). Interpolation of harmonic functions. In: Schempp, W., Zeller, K. (eds) Constructive Theory of Functions of Several Variables. Lecture Notes in Mathematics, vol 571. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086578

Download citation

  • DOI: https://doi.org/10.1007/BFb0086578

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08069-5

  • Online ISBN: 978-3-540-37496-1

  • eBook Packages: Springer Book Archive