Skip to main content
SpringerLink
Log in

Extrapolation methods in Lie groups

  • Original article
  • Published:
Numerische Mathematik Aims and scope Submit manuscript

Summary.

The numerical solution of differential equations on Lie groups by extrapolation methods is investigated. The main principles of extrapolation for ordinary differential equations are extended on the general case of differential equations in noncommutative Lie groups. An asymptotic expansion of the global error is given. A symmetric method is given and quadratic asymptotic expansion of the global error is proved. The theoretical results are verified by numerical experiments.

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

Author information

Authors and Affiliations

  1. Martin-Luther-Universität Halle-Wittenberg, FB Mathematik und Informatik, Institut für Numerische Mathematik, 06120 Halle, Germany; e-mail: wensch@nummulit.mathematik.uni-halle.de , , , , , , DE

    Jörg Wensch

Authors
  1. Jörg Wensch
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received September 27, 1999 / Revised version received February 14, 2000 / Published online April 5, 2001

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wensch, J. Extrapolation methods in Lie groups. Numer. Math. 89, 591–604 (2001). https://doi.org/10.1007/s211-001-8017-5

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s211-001-8017-5

Search

Navigation