Asymptotic upper bounds for the errors of Richardson extrapolation with practical application in approximate computations
- verfasst von
- Aram Soroushian, Peter Wriggers, Jamshid Farjoodi
- Abstract
The results produced by Richardson extrapolation, though, in general, very accurate, are inexact. Numerical evaluation of this inexactness and implementation of the evaluation in practice are the objectives of this paper. First, considering linear changes of errors in the convergence plots, asymptotic upper bounds are proposed for the errors. Then, the achievement is extended to the results produced by Richardson extrapolation, and finally, an error-controlling procedure is proposed and successfully implemented in approximate computations originated in science and engineering.
- Organisationseinheit(en)
-
Institut für Kontinuumsmechanik
- Externe Organisation(en)
-
International Institute of Earthquake Engineering and Seismology (IIEES)
University of Tehran
- Typ
- Artikel
- Journal
- International Journal for Numerical Methods in Engineering
- Band
- 80
- Seiten
- 565-595
- Anzahl der Seiten
- 31
- ISSN
- 0029-5981
- Publikationsdatum
- 01.09.2009
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Numerische Mathematik, Ingenieurwesen (insg.), Angewandte Mathematik
- Elektronische Version(en)
-
https://doi.org/10.1002/nme.2642 (Zugang:
Unbekannt)
