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A family of efficient extrapolation formulae and their application in mechanics

✍ Scribed by Michał Życzkowski

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
320 KB
Volume
43
Category
Article
ISSN
0029-5981

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✦ Synopsis

The problem of extrapolation based just on a few initial terms of a sequence or series is discussed. Possible regularity of the extrapolation formula is postulated. Binomial power series is regarded as su ciently regular and several extrapolation formulae using 3, 4, or 5 initial terms and based on binomial power series are derived. They are called the 'bs-extrapolation formulae' and compared to other extrapolation algorithms. Good accuracy in many particular cases is stated. Three examples of applications in mechanics are quoted: they consider consecutive FEM-solutions, postbuckling behaviour of an Euler column and optimal plastic design of a plane T-head.

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