Asymptotic upper bounds for the errors of Richardson extrapolation with practical application in approximate computations

authored by: 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.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): International Institute of Earthquake Engineering and Seismology (IIEES)
University of Tehran
Type: Article
Journal: International Journal for Numerical Methods in Engineering
Volume: 80
Pages: 565-595
No. of pages: 31
ISSN: 0029-5981
Publication date: 01.09.2009
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Numerical Analysis, Engineering(all), Applied Mathematics
Electronic version(s): https://doi.org/10.1002/nme.2642 (Access: Unknown)
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