Skip to main content
SpringerLink
Log in

Interpolation of harmonic functions

  • Conference paper
  • First Online:
Constructive Theory of Functions of Several Variables

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

  • 1813 Accesses

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

    Article  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.

    Article  MathSciNet  Google Scholar 

  4. MÃœLLER, 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.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  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.

    Article  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.

    Article  MathSciNet  MATH  Google Scholar 

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

    Google Scholar 

Download references

Authors
  1. Hans Joachim Schmid
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Lehrstuhl für Mathematik I, Universität Siegen, Hülderlinstraße 3, 5900, Siegen 21, BRD

    Walter Schempp

  2. Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 7400, TObingen 1, BRD

    Karl Zeller

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

Publish with us

Policies and ethics

Search

Navigation