Skip to main content
SpringerLink
Log in

Mehrdimensionale Romberg-Integration

  • Published:
Numerische Mathematik Aims and scope Submit manuscript

Abstract

Anders [1] showed, that the remainder term ofn-dimensional Romberg integrationT m,k is of orderO(4−km) fork → ∞. Here, by induction overn and the results [2] forn = 1, an explicit formula is derived, giving the precise constants. It follows, that forf continuous andm +k → ∞ theT m,k are converging to the value of the integral.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literatur

  1. Anders, E. B.: An extension of Romberg integration procedures toN variables. JACM13, 505–510 (1966).

    Google Scholar 

  2. Bauer, F. L., Rutishauser, H., Stiefel, E.: New aspects in numerical quadrature. Proc. Symp. Appl. Math. 15, 199–218 (1963).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fachbereich Mathematik der Universität, 775 Konstanz, Postfach 733, Germany

    A. Schönhage & Arnold Schönhage

Authors
  1. A. Schönhage
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Arnold Schönhage
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schönhage, A., Schönhage, A. Mehrdimensionale Romberg-Integration. Numer. Math. 14, 299–304 (1970). https://doi.org/10.1007/BF02163338

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02163338

Search

Navigation